Herring References

Prof. Robert B. Laughlin
Department of Physics, Stanford University
Stanford, CA 94305

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A14 - Statistical Mechanics

Statistical Mechanics

R. C. Tolman, The Principles of Statistical Mechanics (Oxford, 1938).
R. C. Tolman, Statistical Mechanics with Applications to Physics and Chemistry (Chemical Catalog Company, 1927).
J. E. and M. G. Mayer, Statistical Mechanics (Wiley, 1940).
R. B. Lindsay, Introduction to Physical Statistics (Wiley, 1941).
L. D. Landau and E. M. Lifschitz, Statistical Physics (Oxford, 1938).
P. and T. Ehrenfest, The Conceptual Foundations of the Statistical Approach to Mechanics (Dover, 1990).
P. Caldirola, Riv. Nuovo Cimento 2, 25 (1946).
K. F. Herzfeld, "Kinetische Theorie der Wärme," Müller-Pouillets Lehrbuch der Physik, Band 3 (Vieweg, 1925).
M. A. Leontovich, Statisticheskaya Fizika (Gostekhizdat, 1944).
R. W. Gurney, Introduction to Statistical Mechanics (McGraw-Hill, 1949).
G. S. Rushbrooke, Introduction to Statistical Mechanics (Oxford, 1949).
R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (Cambridge, 1939).
A. Haas, ed, Commentary on the Scientific Writings of J. Willard Gibbs," (Yale, 1936).
R. B. Lindsay and H. Margenau, Foundations of Physics (Wiley, 1936).
I. Fraquhar, Ergodic Theory in Statistical Mechanics (Wiley, 1965).
G. Wannier, Statistical Physics," (Wiley, 1966).
T. A. Bak, ed., Statistical Mechanics: Foundations and Applications (Benjamin, 1965).
A. Münster, Statistical Theromodynamics (Springer, 1956).
D. Ter Haar, Foundations of Statistical Mechanics Rev. Mod. Phys. 27, 289 (1955).
C. Truesdell and D. Morgenstern, Ergebnisse der exakten Naturwiss. 30, 286 (1958).
N. N. Bogoliubov, The Problem of Dynamical Theory in Statistical Physics (Gostekhizdat, 1946).
R. C. Tolman, The Principles of Statistical Mechanics (Oxford, 1938).
J. De Boer and G. Uhlenbeck, Studies in Statistical Mechanics (North Holland, 1938).
D. Ruelle, Statistical Mechanics: Rigorious Results (Benjamin, 1969).
J. L. Lebowitz, Ann. Rev. Phys. Chem 19, 389 (1968).
J. E. Mayer, Equilibrium Statistical Mechanics (Oxford, 1968).
R. H. Furth, Fundamental Principles of Modern Theoretical Physics (Pergamon, 1970).
A. Münster, Statistical Theromodynamics (Springer, 1969).
E. G. D. Cohen, ed., Statistical Mechanics at the Turn of the Decade, (Marcel Dekker, 1971).
E. G. D. Cohen, Fundamental Problems in Statistical Mechanics, (North Holland, 1980).
A. Isihara, Statistical Physics (Academic Press, 1971).
C. J. Thompson, Mathematical Statistical Mechanics (MacMillan, 1972).
F. Mandl, Statistical Physics (Wiley, 1971).
J. Ehlers, Lecture Notes in Physics (Springer, 2002).
R. P. Feynman, Statistical Mechanics (Benjamin, 1972).
B. J. McClelland, Statistical Theromodynamics (Chapman and Hall, 1973).
K. Binder, ed., Monte Carlo Methods in Statistical Physics (Springer, 1979).
Y. B. Rumer and M. S. Ryvkin, Thermodynamics, Statistical Physics and Kinetics (Mir, 1980).
C. Kittel and H. Kroemer, Thermal Physics (W. H. Freeman, 1983).
M. Rasetti, Modern Methods in Equilibrium Statistical Mechanics (World, 1984).
S.-K. Ma, Statistical Mechanics (World, 1984).
K. Binder, ed., Applications of the Monte Carlo Method in Statistical Physics (Springer, 1984).
J. Fritz, A. Jaffe and D. Scasz, eds., Statistical Physics of Dynamical Systems: Rigorious Results (Birkhauser, 1985).
D. G. Chandler, Introduction to Modern Statistical Thermodynamics (Oxford, 1987).
B. H. Lavenda, Statistical Physics: A Probabilistic Approach (Wiley, 1992).

Foundations of Classical Statistics

R. C. Tolman, "On the Establishment of Grand Canonical Distributions," Phys. Rev. 57, 1160 (1940).
G. D. Birkhoff, "Proof of the Ergodic Theorem," Proc. Natl. Acad. Sci. 17, 656 (1931).
J. von Neumann, "Proof of the Quasi-Ergodic Hypothesis," Proc. Natl. Acad. Sci. 18, 70 (1932).
J. von Neumann, "Physical Applications of the Ergodic Hypothesis," Proc. Natl. Acad. Sci. 18, 263 (1932).
G. D. Birkhoff and B. O. Koopman, "Recent Contributions to the Ergodic Theory," Proc. Natl. Acad. Sci. 18, 279 (1932).
B. O. Koopman, "Hamiltonian Systems and Transformations in Hilbert Space," Proc. Natl. Acad. Sci. 17, 315 (1931).
E. Hopf, Ergodentheorie (Chelsea, 1948).
A. I. Kinchin, Mathematical Foundations of Statistical Mechanics (Dover, 1949).
L. Rosenfeld, Acta. Phys. Tol. 14, 3 (1955).
D. Bohm and W. Schëtzer, "The General Statistical Problem in Physics and the Theory of Probability," Nuovo Cimento, Suppl. 2, 1004 (1955).
T. Yamamoto and H. Matsuda, Prog. Theor. Phys. 16, 269 (1956).
L. Szilard, Z. Phys. 32, 753 (1925).
C. Mandelbrot, Comptes Rendus 243, 1835 (1956).
S. Albertoni, P. Bocchieri and A. Loinger, "New Theorem in the Classical Ensemble Theory," J. Math. Phys. 1, 244 (1960).
P. Bocchieri and A. Loinger, "Remarks on a Theorem in Classical Ensemble Theory," Phys. Lett. 4, 188 (1963).
L. Tisza and P. M. Quay, Ann. Phys. (N.Y.) 25, 48 (1963).
M. E. Fisher, Arch. Rat. Mech. Anal. 17, 377 (1964).
D. Ruelle, Helv. Phys. Acta 36, 183 (1963).
V. I. Arnol'd, "Small Denominators and Problems of Stability in Classical and Celestial Mechanics," Usp. Mat. Nauk 18, 91 (1963) [Russian Math. Surveys 18, 85 (1963)].
D. V. Anosov and Y. G. Sinai, "Certain Smooth Ergodic Systems," Usp. Mat. Nauk 22, 107 (1967) [Russian Math. Surveys 22, 103 (1967)].
J. L. Lebowitz and E. Lieb, "Existence of Thermodynamics for Real Matter with Coulomb Forces," Phys. Rev. Lett. 22, 63 (1969).
O. Penrose and E. R. Smith, "Thermodynamic Limit for Classical Systems with Coulomb Interactions in a Constant External Field," Comm. Math. Phys. 26, 53 (1972).

Foundations of Classical Statistics - General

M. H. Lee, "Ergodic Theory, Infinite Products and Long Time Behavior in Hermitian Models," Phys. Rev. Lett. 87, 250601 (2001).
E. T. Jaynes, "Where Do We Stand on Maximum Entropy," in R. D. Levine and M. Tribus, eds., The Maximum Entropy Formalism (MIT, 1979).
Y. Tikochinsky, N. Z. Tishby and R. D. Levine, "Consistent Inference of Probabilities for Reproducible Experiments," Phys. Rev. Lett. 52, 1357 (1984).
S. Nosé, "A Unified Formulation of the Constant Temperature Molecular Dynamics Methods," J. Chem. Phys. 81, 511 (1984).
A. Shimony, "Comment on 'Consistent Inference of Probabilities for Reproducible Experiments,'" Phys. Rev. Lett. 55, 1030 (1985).
Y. Tikochinsky, N. Z. Tishby and R. D. Levine, "Tikochinsky, Tishby and Levine Reply," Phys. Rev. Lett. 55, 1031 (1985).

Miscellaneous Formulations of Classical Statistics

H. Grad, Comm. Pure Appl. Math. 5, 455 (1952).
F. Bopp, Z. Nat. 8a, 233 (1953).
A. Münster, Z. Phys. 137, 386 (1954).

Special Problems in Classical Statistics

N. L. Balazs, "Statistical Mechanics of Strings," Phys. Rev. 113, 1178 (1959).
T. L. Hill and S. Greenschlag, "Statistical Mechanics of Monatomic Systems in an External Periodic Potential Field. I. Introduction, Virial Expansion and Classical Second Virial Coefficient," J. Chem. Phys. 34, 1538 (1961).
T. L. Hill and N. Saito, "Statistical Mechanics of Monatomic Systems in an External Periodic Potential Field. II. Distribution Function Theory for Fluids," J. Chem. Phys. 34, 1538 (1961).
A. Lenard, "Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces," J. Math. Phys. 2, 682 (1961).
S. F. Edwards and A. Lenard, "Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. II. The Method of Functional Integration," J. Math. Phys. 3, 778 (1961).
A. Lenard, "Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. III. Statistics of the Electric Field," J. Math. Phys. 4, 533 (1963).
A. Børs, "Statistical Mechanics of Rotating Systems," Z. Phys. 187, 221 (1965).
S. F. Edwards, "Statistical Mechanics with Topological Constraints. I.," Proc. Phys. Soc. 91, 513 (1967).
E. Lieb, in Mathematical Methods in Solid State and Superfliud Theory, ed. by R. C. Clarak and G. H. Derrick (Plenum, 1968).
L. A. Bunimovich and Y. G. Sinai, "Statistical Properties of Lorentz Gas with Periodic Configuration of Scatterers," Comm. Math. Phys. 78, 479 (1981).

Miscellaneous Properties of General Ensembles

C. Jarzynsky, "Multiple-Time-Scale Approach to Ergodic Adiabatic Systems: Another look," Phys. Rev. Lett. 71, 839 (1993).
C. Jarzynsky, "Nonequlibrium Equality for Free Energy Differences," Phys. Rev. Lett. 78, 2690 (1997).
M. Lax, "Relation Between Canonical and Microcanonical Ensembles," Phys. Rev. 97, 1419 (1955).
R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962).
R. M. Mazo, "Free Energy of a System with Random Elements," J. Chem. Phys. 39, 1224 (1963).
XXX, Proc. Phys. Soc. A 1, 539 (1968).
D. W. Robinson and D. Ruelle, "Mean Entropy of States in Classical Statistical Mechanics," Comm. Math. Phys. 5, 288 (1967).
F. Henin and I. Prigogine, "Entropy, Dynamics and Molecular Chaos," Proc. Natl. Acad. Sci. 71, 2618 (1974).
A. Ostebee, P. Gambardella and M. Dresden, "Nonstandard Approach to the Thermodynamic Limit," Phys. Rev. A 13, 878 (1976).
J. T. Chayes, L. Chayes and E. Lieb, Comm. Math. Phys. 93, 57 (1984).
J. T. Chayes and L. Chayes, "On the Validity of the Inverse Conjecture in Classical Density Functional Theory," J. Stat. Phys. 36, 471 (1984).

Ergodicity of Illustrated Systems

J. Ford, Adv. Chem. Phys. 24, 155 (1973).
J. Bivins, N. Metropolis and J. Pasta, J. Comput. Phys. 12, 65 (1973).
B. Chirikov, F. Izrailev and V Tayurskii, Comp. Phys. Comm. 5, 11 (1973).
C. F. Discoll and T. M. O'Neil, "Explanation of Instabilities Observed on a Fermi-Pasta-Ulam Lattice," Phys. Rev. Lett. 37, 69 (1976).

General Equilibrium Theorems of Interacting Particles

I. Oppenheim and P. Mazur, "Density Expansions of Distribution Functions," Physica 23, 197, 216 (1957).
I. P. Bazarov, Zh. Eksp. Teor. Fiz. 32, 1065 (1957).
I. P. Bazarov, Zh. Eksp. Teor. Fiz. 32, 1163 (1957).
B. Zumino, "Formal Solution of the Equations of Statistical Equilibrium," Phys. Fluids 2, 20 (1959).
T. Morita, Prog. Theor. Phys. 21, 501 (1959).
A. A. Vedenov, Dokl. Akad. Nauk SSSR 125, 757 (1959).
T. L. Hill, "Exact Definition of Quasi-Thermodynamic Point functions in Statistical Mechanics," J. Chem. Phys. 30, 1521 (1957).
R. Abe, Prog. Theor. Phys. 22, 213 (1959).
G. E. Uhlenbeck, "Successive Approximation Methods in Classical Statistical Mechanics," Physica 26 (Suppl. 1), S17 (1960).
R. K. Pathria and M. P. Kawatra, "Quantum Mechanics of a Many-Body System with Square-Well Interaction," Prog. Theor. Phys. 27, 638 (1962).
R. Kubo, "Generalized Cumulant Expansion Method," J. Phys. Soc. Jpn. 17, 1100 (1962).
E. Meeron, "Indirect Exponential Coupling in the Classical Many-Body Problems," Phys. Rev. 126, 883 (1962).
J. K. Percus, "Approximation Methods in Classical Statistical Mechanics," Phys. Rev. Lett. 8, 462 (1962).
C. de Dominicis, "Variational Formulations of Equilibrium Statitical Mechanics," J. Math. Phys. 3, 983 (1962).
D. Ruelle, "Classical Staitstical Mechanics," Helv. Phys. Acta 36, 183 (1963).
E. Lieb, "New Method in the Theory of Imperfect Gases and liquids," J. Math. Phys. 4, 67 (1963).
O. Penrose, "The Remainder in Mayer's Fugacity Series," J. Math. Phys. 4, 1488 (1963).
M. D. Girardeau, "Variational Method for Classical Statistical Mechanics," J. Chem. Phys. 40, 899 (1964).
G. V. Ramanathan, "A New Cluster Scheme in Statistical Physics," J. Math. Phys. 7, 1507 (1966).
F. A. Blood, Jr., "The r-Particle Distribution Function in Classical Physics," J. Math. Phys. 7, 1613 (1966).
P. Ziesche, "Clusterentwicklung der Informationsgrößen im Besetzungszahl-Formalismus der klassischen Gleichgewichts-Statistik," Comm. Math. Phys. 5, 191 (1967).
G. Gallavotti and S. Miracle-Sole, "Statistical Mechanics of Lattice Systems," Comm. Math. Phys. 5, 317 (1967).
J. van der Linden, Physica, 38, 173 (1968).
P. Quass, K. Voss and P. Ziesche, Acta Phys. Hung. 24, 45 (1968).
R. B. Griffiths, "Free Energy of Interacting Magnetic Dipoles," Phys. Rev. 176, 655 (1968).
D. Ruelle, "Statistical Mechanics of a One-Dimensional Lattice Gas," Comm. Math. Phys. 9, 267 (1968).
E. Meeron, "Convergence of Coupline-Parameter Expansions for Distribution and Thermodynamic Functions," Phys. Rev. Lett. 22, 925 (1969).
D. Ruelle, Rigorous Results in Statistical Mechanics (Benjamin, 1969).

Approach to Equilibrium - H Theorem

A. J. Siegert, "On the Approach to Statistical Equilibrium," Phys. Rev. 76, 1708 (1949).
M. S. Green, "Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena," J. Chem. Phys. 20, 1281 (1952).
D. ter Haar and C. D. Green, "A Statistical Aspect of Boltzmann's H-Theorem," Proc. Phys. Soc. 66A, 153 (1953).
D. ter Haar and C. D. Green, Proc. Camb. Phil. Soc. 51, 141 (1955).
M. Kac in Proc. 3rd Berkeley Symposium on Mathematical Statistics and Probability (U. of California, 1955), p. 186.
R. Brout and I. Prigogine, Physica 22, 35 (1956).
M. J. Klein, "Entrology and the Ehrenfest Urn Model," Physica 22, 569 (1956).
M. J. Klein, "Generalization of the Ehrenfest Urn Model," Phys. Rev. 103, 17 (1956).
E. Teramoto, Prog. Theor. Phys. 15, 480 (1956).
N. Bogoliubov, J. Phys. USSR 10, 265 (1946).
E. T. Jaynes, "Information Theory and Statistical Mechanics," Phys. Rev. 106, 620 (1957).
E. T. Jaynes, "Information Theory and Statistical Mechanics II," Phys. Rev. 108, 171 (1957).
J. Ford, "Approach of One-Dimensional Systems to Equilibrium," Phys. Rev. 112, 1445 (1958).
S. A. Rice, "On a Relation Between Coarse Graining and Diagonal Singularity," J. Chem. Phys. 30, 587 (1959).
J. M. Blatt, Prog. Theor. Phys. 22, 745 (1959).
P. G. Bergmann and E. Morris, Ann. Phys. (N.Y.) 8, 266 (1959).
P. H. E. Meijer and J. I. Bowen, Physica 26, 478, 485 (1960).
I. Prigogine and F. Henin, "On the General Theory of the Approach to Equilibrium. I. Interacting Normal Modes," J. Math. Phys. 1, 349 (1960).
S. Teitler and R. F. Wallis, "Liouville Equation and the Resolvent Formalism," J. Math. Phys. 1, 372 (1960).
F. Henin, P. Résibois and F. Andrews, "On the General Theory of the Approach to Equilibrium. II. Interacting Particles," J. Math. Phys. 2, 68 (1961).
F. C. Andrews, "On the General Theory of the Approach to Equilibrium. III. Inhomogeneous Systems," J. Math. Phys. 2, 91 (1961).
J. E. Mayer, "Approach to Thermodynamic Equilibrium," J. Chem. Phys. 34, 1207 (1961).
N. G. Van Kampen, "A Power Series Expansion of the Master Equation," Can. J. Phys. 39, 551 (1961).
D. K. C. MacDonald, "Some Remarks on the Boltzmann and Anti-Boltzmann Equations," Phil. Mag. 6, 1407 (1961).
R. Balescu, Physica 27, 693 (1962).
K. Haubold, Physica 28, 834 (1962).
H. Gabriel, Physica 28, 1294 (1962).
T. Morimoto, J. Phys. Soc. Jpn. 18, 3328 (1963).
D. Pfirsch and S. Priess, Z. Nat. 20a, 756 (1965).
E. T. Jaynes, "Gibbs vs Boltzmann Entropies," Am. J. Phys. 33, 391 (1965).
K. Urbanik, "The Values at the Fixed Moment of Generalized Stochastic Processes," Acta Phys. Pol. 14, 577 (1965).
E. D. Banta, "Modification of the Ehrenfest Model in Statistical Mechanics," J. Math. Phys. 8, 387 (1967).
H. P. KcKean, "Speed of Approach to Equilibrium for Kac's Caricature of a Maxwellian Gas," Arch. Rat. Mech. Anal. 21, 343 (1966).
S. Harris, "Proof That Successive Derivatives of Boltzmann's H Function for a Discrete Velocity Gas Alternate in Sign," J. Math. Phys. 8, 2407 (1967).
H. S. Robertson and M. A. Huerta, "Approach to Equilbrium of Coupled, Harmonically Bound Oscillator Systems," Phys. Rev. Lett. 23, 825 (1969).
C. Kittel, "Postulational Basis of the Law of Increase of Entropy," Proc. Natl. Acad. Sci. 68, 2746 (1971).
M. W. P. Strandberg and J. R. Shane, "General Properties of Thermal-Relaxation Rate Equations," Phys. Rev. B 7, 4809 (1973).
F. Henin and I. Prigogine, "Entropy, Dynamics and Molecular Chaos," Proc. Natl. Acad. Sci. 71, 2618 (1974).
V. Bobylev, Dolk. Akad. Nauk SSSR 20, 1296 (1975) [Sov. Phys. Dokl. 20, 822 (1976).
M. Krook and T.-S. Wu, "Formation of Maxwellian Tails," Phys. Rev. Lett. 36, 1107 (1976).
M. Krook and T.-S. Wu, "Exact Solutions of the Boltzmann Equation," Phys. Fluids 20, 1589 (1977).
P. Résibois, "H Theorem for the (Modified) Nonlinear Enskog Equation," Phys. Rev. Lett. 40, 1409 (1978).
R. M. Ziff, "New Class of Soluble-Model Boltzmann Equations," Phys. Rev. Lett. 45, 306 (1980).
R. M. Ziff, S. D. Merajver and G. Stell, "Approach to Equilibrium of a Boltzmann-Equation Solution," Phys. Rev. Lett. 47, 1493 (1981).
E. Lieb, "Comment on: Approach to Equilibrium of a Boltzmann-Equation Solution," Phys. Rev. Lett. 48, 1057 (1982).
M. C. Mackey, "The Dynamic Origin of Increasing Entropy," Rev. Mod. Phys. 61, 981 (1989).

Theory of Fluctuations

J. Logan and M. Kac, "Fluctuations and the Boltzmann Equation," Phys. Rev. A 13, 458 (1976).
R. A. Medina and J. W. Garland, "General Relationship Between Concentration Derivatives and Correlation Functions for Alloys," Phys. Rev. B 14, 5060 (1976).
M. Smoluchowski, Ann. Phys. 25, 205 (1908).
L. S. Ornstein and F. Zernicke, Proc. Acad. Sci. Amsterdam 17, 793 (1914).
L. S. Ornstein and F. Zernicke, Proc. Acad. Sci. Amsterdam 18, 1520 (1916).
L. S. Ornstein and F. Zernicke, Proc. Acad. Sci. Amsterdam 19, 1321 (1917).
L. S. Ornstein and F. Zernicke, Physik Z. 19, 134 (1918).
L. S. Ornstein and F. Zernicke, Physik Z. 27, 761 (1926).
J. Rocard, J. de Phys. 4, 165 (1933).
M. J. Klein and L. Tisza, RLE Tech. Rep. 111 (1949).
M. J. Klein and L. Tisza, "Theory of Critical Fluctuations," Phys. Rev. 76, 1861 (1949).
H. B. Callen and T. A. Welton, "Irreversibility and Generalized Noise," Phys. Rev. 76, 1861 (1949).
H. Takahashi, J. Phys. Soc. Jpn. 7, 439 (1952).
J. Hashitsume, Prog. Theor. Phys. 8, 461 (1952).
M. Leontobich and S. M. Ritov, Zh. Eksp. Teor. Fiz. 23, 246 (1952).
S. M. Ritov, Dokl. Akad. Nauk SSSR 87, 535 (1952).
R. F. Greene and H. B. Callen, "On a Theorem of Irreversible Thermodynamics," Phys. Rev. 88, 1387 (1952).
C. D. Greene and D. ter Haar, Physica 21, 63 (1955).
M. Lax, "Fluctuations from the Nonequilibrium Steady State," Rev. Mod. Phys. 32, 25 (1960).
N. G. Van Kampen, "Thermal Fluctuations in Nonlinear Systems," J. Math. Phys. 4, 190 (1963).
J. Hori, J. Phys. Soc. Jpn. 11, 1120 (1956).
S. M. Ritov, Zh. Eksp. Teor. Fiz. 33, 166 (1957).
V. E. Matalinskii and Y. P. Terletskii, Zh. Eksp. Teor. Fiz. 34, 729 (1958).
E. W. Hart, "Thermodynamic Theory of the Pair Correlation Function," J. Chem. Phys. 34, 1471 (1961).
G. L. Jones, "Method for Treating Fluctuations of Dynamical Variables," J. Math. Phys. 6, 106 (1965).
G. L. Jones and M. Davies, "Fluctuations in Equlibrium and Nonequilibrium Ensembles," J. Math. Phys. 6, 1009 (1965).
J. A. McLennan, Helv. Phys. Acta 40, 645 (1967).

Theory of Brownian Motion

M. von Smolochowski, Abhandlungen über die Brownishe Bewegung (Akademische Verlags Gesellschaft, (1926).
G. E. Uhlenbeck and L. S. Ornstein, "On the Theory of Brownian Motion," Phys. Rev. 36, 823 (1930).
Ming Chen Wang and G. E. Uhlenbeck, "On the Theory of Brownian Motion II," Rev. Mod. Phys. 17, 373 (1945).
S. Chandrasekhar, "Stochastic Problems in Physics and Astronomy," Rev. Mod. Phys. 15, 1 (1943).
H. A. Kramers, "Brownian Motion in a Field of Force and Diffusion Model of Chemical Reactions," Physica 7, 284 (1940).
S. O. Rice, "Mathematical Analysis of Random Noise," Bell Syst. Tech. J. 23/b>, 282 (1944).
S. O. Rice, "Mathematical Theory of Random Noise," Bell Syst. Tech. J. 25/b>, 46 (1945).
M. Kac, "Random Walk and the Theory of Brownian Motion," Am. Math. Monthly 54/b>, 396 (1947).
A. Einstein, "Die von der Molekularkinetischen Theorie der W ärme geforderte Bewegung von in ruhenden Flüssigkeiten Suspendierten Teilchen," Ann. d. Phys. 17, 549 (1905).
R. T. Cox, "Brownian Motion in the Theory of Irreversible Processes," Rev. Mod. Phys. 24, 312 (1952).
M. Toda, "Theorie der Brownishen Begewung," J. Phys. Soc. Jpn. 12, 1266 (1958).
R. W. Zwanzig, "Contribution to the Theory of Brownian Motion," Phys. Fluids 2, 12 (1959).
N. Wax, ed., Selected Papers on Noise and Stochastic Processes (Dover, 1954).
M. S. Giterman and M. E. Gertsenshtein, Zh. Eksp. Teor. Fiz. 50, 1084 (1966) [Sov. Phys. JETP 23, 722 (1966)].
R. Kubo, Rep. Prog. Phys. 29, 225 (1966).
J. H. Williamson, "Brownian Motion of Electrons," J. Phys. A 1, 629 (1968).
P. Fulde, L. Pietronero, W. R. Schneider and S. Strässler, "Problem of Brownian Motion in a Periodic Potential," Phys. Rev. Lett. 35, 1776 (1975).
J. R. Mehaffey and R. I. Cukier, "Kinetic-Theory Derivation of the Einstein-Stokes Law," Phys. Rev. Lett. 38, 1039 (1977).
S. E. Trullinger et al., "Brownian Motion of Coupled Nonlinear Oscillators: Thermalized Solitons and Nonlinear Response to External Forces," Phys. Rev. Lett. 40, 206 (1978).
L. E. Reichl, "Translational Brownian Motion in a Fluid with Internal Degrees of Freedom," Phys. Rev. A 24, 1609 (1981).
L. E. Reichl, "Effect of Fluid Rotational Degrees of Freedom on Brownian Motion: Estimates for Water," Phys. Rev. Lett. 49, 85 (1982).
P. Hänggi and P. Talkner, "Memory Index of First-Passage Time: A Simple Measure of Non-Markovian Character," Phys. Rev. Lett. 51, 2242 (1983).
J. G. Powles and N. Quirke, "Fractal Geometry and Brownian Motion: A New Parameter to Describe Molecular Motion," Phys. Rev. Lett. 52, 1517 (1984).
D. C. Rapaport, "Fractal Dimensionality of Brownian Motion," Phys. Rev. Lett. 53, 1965 (1984).
A. J. C. Ladd, M. E. Colvin and D. Frenkel, "Application of Lattice-Gas Cellular Automata to the Brownian Motion of Solids in Suspension," Phys. Rev. Lett. 60, 975 (1988).
G. Ryskin, "Brownian Motion in a Rotating Fluid: Diffusivity is a Function of the Rotation Rate," Phys. Rev. Lett. 61, 1442 (1988).
L. E. Reichl, Z.-Y. Chen and M. Millonas, "Stochastic Manifestation of Chaos in a Fokker-Planck Equation," Phys. Rev. Lett. 63, 2013 (1989).
R. Metzler, E. Barkai and J. Klafter, "Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach," Phys. Rev. Lett. 82, 3563 (1999).

General Theory of Noise

F. N. H. Robinson, Proc. Roy. Soc. A 286, 525 (1965).
M. Lax, "Fluctuations from the Nonequilibrium Steady State," Rev. Mod. Phys. 32, 25 (1960).
M. Lax, "Classical Noise III. Nonlinear Markoff Processes," Rev. Mod. Phys. 38, 359 (1966).
M. Lax, "Classical Noise IV. Langevin Models," Rev. Mod. Phys. 38, 541 (1966).
P. T. Landsberg and E. A. B. Cole, "The Steady-State Fluctuation-Dissipation Theorem," Phys. Rev. 37, 309 (1967).
P. H,. Handel, "Turbulence Theory for the Current Carriers in Solids and a Theory for 1/f Noise," Phys. Rev. A 3, 2066 (1971).
H. Bittel and L. Storm, Rauschen (Springer, 1971).
H. Haken, "Cooperative Phenomena in Systems Far from Thermal Equilibrium and in Nonphysical Systems," Rev. Mod. Phys. 47, 67 (1975).
P. H. Handel, "1/f Noise - An 'Infrared' Problem," Phys. Rev. Lett. 34, 1492 (1975).
S. Putterman, "Mode-Coupled Fluctuations and 1/f Noise," Phys. Rev. Lett. 39, 585 (1975).
D. Wolf, ed. Noise in Physical Systems (Springer, 1978).
Y. A. Klimontovich, Sov. Phys. JETP 48, 852 (1978).
H. J. Larson and B. O. Schubert Random Noise Signals and Dynamic Systems (Wiley, 1979).
F. T. Arecchi and A. Politi, "Transient Fluctuations in the Decay of an Unstable State," Phys. Rev. Lett. 45, 1219 (1980).
J. C. Tully, "Theories of the Dynamics of Inelastic and Reactive Processes at Surfaces," Ann. Rev. Phys. Chem. 31, 319 (1980).
P. Dutta and P. M. Horn, "Low-Frequency Fluctuations in Solids: 1/f Noise," Rev. Mod. Phys. 53, 497 (1981).
F. N. Hooge, T. G. N. Kleinpennig and L. K. J. Vandamme, "Experimental Studies on 1/f Noise," Rep. Prog. Phys. 44, 479 (1981).
M. Nelkin in Chaos and Statistical Methods, ed. by Y. Kuramoto (Springer, 1983).
E. Marinari, G. Parisi, D,. Ruelle and P. Windey, "Random Walk in a Random Environment and 1/f Noise," Phys. Rev. Lett. 50, 1223 (1983).
M. Savelli, G. Lecoy and J.-P. Nougier, Noise in Physical Systems and 1/f Noise (North-Holland, 1983).
P. Bak, C. Tang and K. Wiesenfeld, "Self-Organized Criticality: An Explanation of the 1/f Noise," Phys. Rev. Lett. 59, 381 (1987).
T. Geisl, A. Zacherl and G. Radons, "Generic 1/f Noise in Hamiltonian Dynamics," Phys. Rev. Lett. 59, 2503 (1987).
M. B. Weissman, "1/f Noise and Other Slow, Nonexponential Kinetics in Condensed Matter," Rev. Mod. Phys. 60, 537 (1988).
L. Reggiani, P. Lugli and V. Mitin, "Generalization of Nyquist-Einstein Relationship to Conditions far from Equilibrium in Nondegenerate Semiconductors," Phys. Rev. Lett. 60, 736 (1988).
S. B. Lowen and M. C. Teich, "Fractal Shot Noise," Phys. Rev. Lett. 63, 1755 (1989).
B. V. Chirikov and D. L. Shepelyanskii, "Renormalization Chaos and Motion Statistical Properties," Phys. Rev. Lett. 61, 1039 (1988).
T. Geisel, A. Zacherl and G. Radons, "Generic 1/f Noise in Chaotic Hamiltonian Dynamics," Phys. Rev. Lett. 59, 2503 (1987).
T. Geisel, A. Zacherl and G. Radons, "Geisel, Zacherl and Radons Reply," Phys. Rev. Lett. 61, 1049 (1988).
H. J. Jensen, "Lattice Gas as Model of 1/f Noise," Phys. Rev. Lett. 64, 3103 (1990).
P. H. Bryant, R. Movshovich and B. Yurke, "Noise Rise in Nondegenerate Parametric Amplifiers," Phys. Rev. Lett. 66, 2641 (1991).
K. Christensen, Z. Olami and P. Bak, "Deterministic 1/f Noise in Nonconservative Models of Self-Organized Criticality," Phys. Rev. Lett. 68, 2417 (1992).
M. I. Dykman et al., "Optimal Paths and the Prehistory Problem for Large Fluctuations in Noise-Driven Systems," Phys. Rev. Lett. 68, 2718 (1992).
F. DiFilippo et al., "Classical Amplitude Squeezing for Precision Measurements," Phys. Rev. Lett. 68, 2859 (1992).
S. Maslov, M. Paczudski and P. Bak, "Avalanches and 1/f Noise in Evolution and Growth Models," Phys. Rev. Lett. 73, 2162 (1994).

Diffusion and Mobility - Foundations

A. Einstein, Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten Suspendierten Teilchen," Ann. Phys. 17, 549 (1905).
J. S. Townsend, "The Diffusion of Ions in Gases," Phil. Trans. Roy. Soc. A 193, 129 (1900).
W. Nernst, "Zur Kinetik der in Lösung befindlichen Körper," Z. Phys. Chem. 2, 613 (1888).
J. W. Allen and T. M. Mackintosh, J. Elec. 1, 138 (1955).
L. Onsager, Ann. N.Y. Acad. Sci. 46, 25 (1946).
C. Truesdell, "Mechanical Basis of Diffusion," J. Chem. Phys. 37, 2336 (1962).
J. R. Dorfman, in Fundamental Problems in Stat. Mech., Vol III, ed. by E. G. Cohen (North-Holland, 1975).
H. Haken, ed. Chaos and Order in Nature, (Springer, 1981).
K. Razi Naqvi, K. J. Mork and S. Waldenstrøm, "Reduction of the Fokker-Planck Equation with an Absorbing or Reflecting Boundary to the Diffusion Equation and the Radiation Boundary Condition," Phys. Rev. Lett. 49, 304 (1982).
J. J. Erpenbeck and W. W. Wood, J. Stat. Phys. 27, 77 (1982).
M. W. Evans, "New Langevin Equations for a Translating and Simultaneously Rotating Asymmetric Top," Phys. Rev. Lett. 55, 1551 (1985).
N. G. Van Kampen and Simultaneously Rotating Asymmetric Top," J. Phys. Chem. Solids 49, 673 (1988).
S. Teitel, "Transition to Anomalous Relaxation: Localization in a Hierarchical Potential," Phys. Rev. Lett. 60, 1154 (1988).
S. C. Ying, "Diffusion of Particles in an Inhomogeneous Medium: High-Friction Limit," Phys. Rev. B 41, 7068 (1990).
B. D. Bookout and P. E. Parris, "Long-Range Random Walks on Energetically Disordered Lattices," Phys. Rev. Lett. 71, 16 (1993).
R. Artuso, G. Casati and R. Lombardi, "Periodic Orbit Theory of Anomalous Diffusion," Phys. Rev. Lett. 71, 62 (1993).
J. M. Kincaid, "Self-Diffusion on All Time Scales," Phys. Rev. Lett. 74, 2985 (1995).
Y. Du, H. Li and L. P. Kadanoff, "Breakdown of Hydrodynamics on One-Dimensional System of Inelastic Particles," Phys. Rev. Lett. 74, 1268 (1995).
K. Hahn and J. Karger, J. Phys. A 28, 3061 (1995).

Principle of Microscopic Reversibility

L. Onsager, "Reciprocal Relations in Irreversible Processes I," Phys. Rev. 37, 405 (1931).
L. Onsager, "Reciprocal Relations in Irreversible Processes II," Phys. Rev. 38, 2265 (1931).
G. B. H. Casimir, "On Onsager's Principle of Microscopic Reversibility," Rev. Mod. Phys. 17, 343 (1945).
R. T. Cox, "The Statistical Method of Gibbs in Irreversible Change," Rev. Mod. Phys. 17, 343 (1945).
J. E. Verschaffelt, Bull. Acad. Roy. Belg. Cl. Sc. 37, 853 (1951).
R. O. Davies, Physica 18, 182 (1952).
H. Takahashi, J. Phys. Soc. Jpn. 7, 439 (1952).
H. B. Callen, "The Application of Onsager's Reciprocal Relations to Thermoelectric, Thermomagnetic and Galvanometric Effects," Phys. Rev. 73, 1349 (1948).
R. F. Greene and H. B. Callen, "On a Theorem of Irreversible Thermodynamics II," Phys. Rev. 88, 1387 (1952).
H. Grad, Comm. Pure Appl. Math. 5, 455 (1952).
R. Fieschi, S. R. DeGroot and P. Mazur, Physica 20, 245 (1954).
E. P. Wigner, "Derivations of Onsager's Reciprocal Relations," J. Chem. Phys. 22, 1912 (1954).
H. Kümmel, "The Boltzmann Equations and Irreversible Thermodynamics," Z. Phys. 145, 496 (1956).
T. A. Kaplan, "Relationship Between the Reciprocity Theorems of Onsager and of Callen-Greene," Phys. Rev. 102, 1447 (1956).
S. R. DeGroot and P. Mazur, Physica 23, 73 (1957).
K. Okano and O. Nakada, J. Phys. Soc. Jpn. 16, 207 (1961).
I. Prigogine and G. Severne, "The General Theory of Transpot Processes and the Correlation Function Method," Phys. Lett. 6, 173 (1963).
F. Schlögl, Z. Phys. 193, 163 (1966).
F. C. Andrews, Ind. Eng. Chem. Fundamentals 6, 48 (1967).

Microscopic Reversibility and Onsager Relations

J. Hurley and C. Garrod, "Generalized of the Onsager Recipirocity Theorem," Phys. Rev. Lett. 48, 1575 (1982).
D. Gabrielli, G. Jona-Lasinio and C. Landim, "Onsager Reciprocity Relations Without Microscopic Reversibility," Phys. Rev. Lett. 77, 1202 (1996).
J. L. Lebowitz and H. Spohn, "Comment on 'Onsager Reciprocity Relations Without Microscopic Reversibility,'" Phys. Rev. Lett. 78, 394 (1997).
D. Gabrielli, G. Jona-Lasinio and C. Landim, "Gabrielli, Jona-Lasinio and Landim Reply," Phys. Rev. Lett. 78, 395 (1997).

Irreversible Processes

R. Eisenschitz, Statistical Theory of Irreversible Processes (Oxford, 1958).
W. E. Downs and J. Down, eds., Lectures in Theoretical Physics (Interscience, 1959).
W. E. Downs and J. Down, eds., Lectures in Theoretical Physics (Interscience, 1959).
I. Prigogine Non-Equilibrium Statistical Mechanics (Interscience, 1962).
R. M. Mazo, Statistical Mechanical Theories of Transport Processes (Oxford, 1967).
R. L. Liboff and N. Rostoker, eds., Kinetic Equations (Gordon and Breach, 1971).
L. P. Kadanoff, Comm. Solid State Phys. 1, 5 1968.
R. L. Liboff, Introduction to the Theory of Kinetic Equations (Wiley, 1969).
A. Kates, Principles of Statistical Mechanics (W. H. Freeman, 1969).
P. C. Martin, Measurements and Correlation Functions (Gordon and Breach, 1969).
R. L. Liboff and N. Rostoker, eds., Kinetic Equations (Gordon and Breach, 1971).
L. M. Garrido, J. Biel and J. Rae, eds., Irreversibility in the Many-Body Problem (Plenum, 1972).
H. Haken, "Cooperative Phenomena in Systems Far From Thermal Equilibrium and in Nonphysical Systems," Rev. Mod. Phys. 47, 67 (1975).
L. M. Garrido, et al., eds., Stochastic Processes in Non-Equilibrium Systems (Springer, 1978).
P. A. Martin, Modèles en Micanique Statistique des Processus Irreversibles (Springer, 1979).
L. M. Garrido, Systems Far From Equilibrium (Springer, 1980).
S. R. DeGroot, et al., eds., Relativistic Kineteic Theory (North Holland, 1980).
A. I. Akhiezer and S. V. Peletminsky, Methods of Statistical Physics (Pergamon, 1981).
N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, 1981).
J. L. Lebowitz and E. W. Montroll, eds., Nonequilibrium Phenomena I: The Boltzmann Equation (North Holland, 1983).
J. L. Lebowitz and E. W. Montroll, Nonequilibrium Phenomena II (North Holland, 1985).
W. Horsthernke and D. K. Kondepudi, eds., Fluctuations Sensitivity in Nonequilibrium Systems (Springer, 1984).
L. Pesquera and M. A. Rodriguez, eds., Stochastic Processes Applied to Physics (World, 1985).
J. Keizer, Statistical Thermodynamics of Noequilibrium Processes (Springer, 1987).
W. T. Grandy, Jr., Foundations of Statistical Mechanics (Reidel, 1988).
H. Risken, The Fokker Planck Equation (Springer, 1989).
D. Evans and G. Morriss, Statistical Mechanics of Nonequilibrium Liquids (Academic Press, 1990).
W. G. Hoover, Computational Statistical Mechanics (Elsevier, 1991).
H. S. Robertson, Statistical Thermodynamics (Prentice Hall, 1993).

General Theory of Irreversible Phenomena

R. S. Maier and D. L. Stein, "Transition-Rate Theory for Nongradient Drift Fields," Phys. Rev. Lett. 69, 3691 (1992).
M. M. Millonas and C. Ray, "Relaxation Kinetics of Nonlinear Systems Coupled to a Nonequilibrium Bath," Phys. Rev. Lett. 75, 1110 (1995).
P. L. Garrido and M. A. Muñoz, "Continuum Description for Nonequilibrium Competing Dynamic Models," Phys. Rev. Lett. 75, 1875 (1995).

General Theory of Irreversible Processes

G. Gallavotti, "Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis," Phys. Rev. Lett. 77, 4334 (1996).
L. F. Cugliandolo, D. S. Dean and J. Kurchan, "Fluctuation-Dissipation Theorems and Entropy Production in Relaxational Systems," Phys. Rev. Lett. 79, 2168 (1997).
B. Zheng, Int. J. Mod. Phys. B 13, 1419 (1998).
G. Klein and I. Prigogine, Physica 19, 74, 89, 1053 (1953).
T. Yamamoto, Prog. Theor. Phys. 10, 11 (1953).
M. S. Green, "Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena," J. Chem. Phys 20, 1281 (1952).
M. S. Green, J. Chem. Phys 22, 398 (1952).
S. R. DeGroot and J. Vlieger, Physica 20, 372 (1954).
I. Prigogine and R. Bingen, Physica 21, 299, (1955).
E. W. Montroll and M. S. Green, Ann. Rev. Phys. Chem. 5, 449 (1954).
P. G. Bergmann and J. L. Lebowitz, "A New Approach to Nonequilibrium Processes," Phys. Rev. 99, 578 (1955).
T. Koga, "Extended Interpretation of the Boltzmann-Maxwell Equation," J. Chem. Phys 23, 2275 (1955).
R. Brout, Physica 22, 509, (1952).
R. Brout and I. Prigogine, Physica 22, 621, (1956).
N. Hashitsume, Prog. Theor. Phys. 15, 369 (1956).
D. Falkoff, Prog. Theor. Phys. 16, 530 (1956).
E. Montroll and K. E. Shuler, "Studies in Nonequilibrium Rate Processes," J. Chem. Phys 26, 454 (1957).
P. S. Pütten, Adv. Phys 19, 247 (1956).
V. V. Tolmanchev, Dokl. Akad. Nauk SSSR 112, 842 (1957).
A. Siegel, "Stochastic Basic of Onsager's Minimum Principle," Phys. Rev. 102, 953 (1956).
H. G. Reik, Z. Phys. 148, 333 (1957).
I. Prigogine and R. Balescu, Physica 23, 555 (1957).
I. Prigogine and J. Philippot, Physica 23, 569 (1957).
I. Prigogine and F. Henin, Physica 23, 585 (1957).
P. H. E. Meijer, "Extension of the Statistical Proof of the Minimum Entropy Production Principle," Phys. Rev. 103, 839 (1956).
N. G. Van Kampen, Physica 23, 707, 816 (1957).
R. J. Bearman and J. G. Kirkwood, "Statistical Mechanics of Transport Processes," J. Chem. Phys 28, 136 (1958).
I. Prigogine and F. Henin, Physica 24, 214 (1958).
S. Teitler and R. F. Wallis, Physica 24, 625 (1958).
B. A. Green, Jr., "Approach to Equilibrium," Phys. Rev. 112, 1053 (1958).
S. Kästner, Ann. Phys. 3, 82 (1959).
R. H. Kraichnan, "Classical Fluctuation-Relaxation Theorem," Phys. Rev. 113, 1181 (1959).
I. Prigogine and R. Balescu, Physica 25, 281, 302 (1959).
M. Kac, Probability and Related Topics in Physical Science, (Interscience, 1959).
J. L. Lebowitz, "Stationary Nonequilibrium Gibbsian Ensembles," Phys. Rev. 114, 1192 (1959).
N. G. Van Kampen, Physica 25, 1294 (1959).
V. B. Magalnisky and Y. P. Terletsky, Ann. Phys. 5, 296 (1960).
P. Mazur and E. Montroll, "Poincaré Cycles, Ergodicity and Irreversibility in Assemblies of coupled Harmonic Oscillators," J. Math. Phys. 1, 70 (1960).
P. Mazur and E. Montroll, "Poincaré Cycles, Ergodicity and Irreversibility in Assemblies of coupled Harmonic Oscillators," J. Math. Phys. 1, 70 (1960).
R. Kikuchi, Ann. Phys. 10, 127 (1960).
J. A. McLennon, Jr., "Statistical Mechanics of the Steady State," Phys. Rev. 115, 1405 (1959).
E. Helfand, "Transport Coefficients from Dissipation in a Canonical Ensemble," Phys. Rev. 119, 1 (1960).
A. Sigel, "Differential-Operator Approximations to the Linear Boltzmann Equation," J. Math. Phys. 1, 378 (1960).
E. G. D. Cohen, Physica 27, 163 (1961).
F. C. Andrews, "Statistical Mechanics of Transport Processes,"On the Classical Boltzmann Equation for Gases," J. Chem. Phys 35, 922 (1961).
K. Okano and O. Nakada, J. Phys. Soc. Jpn. 16, 207 (1961).
A. E. Scheidegger, "On the Statistical Properties of Some Transport Equations," Can. J. Phys. 39, 1573 (1961).
J. E. McLennan, Jr., Phys. Fluids 4, 1319 (1961).
R. Zwanzig, "Memory Effects in Irreversible Thermodynamics," Phys. Rev. 124, 983 (1961).
R. Kikuchi, "Variational Derivation of the Steady State," Phys. Rev. 124, 1682 (1961).
R. Kikuchi and P. Gottlieb, "Path Integral in Irreversible Statistical Dynamics," Phys. Rev. 124, 1691 (1961).
K. E. Shuler, G. H. Weiss and K. Andersen, "Studies in Nonequilibrium Rate Processes," J. Math. Phys. 3, 550 (1962).
H. B. Hollinger, "Molecular Chaos and the Boltzmann Equation," J. Chem. Phys 36, 3208 (1962).
N. N. Bogoliubov and B. K. Sadovnikov, Zh. Eksp. Teor. Fiz. 43, 677 (1962).
J. C. M. Li, "Persistency, Pseudo-Entropy and the Thermokinetic Potential," Phys. Rev. 127, 1784 (1962).
M. S. Green, "Boltzmann Equation from the Statistical Mechanical Point of View," J. Chem. Phys 25, 836 (1956).
M. S. Green, Physica 24, 393 (1958).
E. G. D. Cohen, Physica 28, 1025, 1045, 1060 (1962).
E. G. D. Cohen in Fundamental Processes in Statistical Mechanics (Noth-Holland, 1962), p. 110.
L. S. Hall, Ann. Phys. (N.Y.) 20 383 (1962).
A. Sher and H. Primakoff, "Approach to Equilibrium in Quantal Systems: Magnetic Resonance," Phys. Rev. 119, 178 (1962).
A. Sher and H. Primakoff, Phys. Rev. 130, 1267 (1963).
G. Sandri, "New Kinetic Equation," Phys. Rev. Lett. 11, 178 (1963).
E. I. Blount, "Variational Principles and Entropy Production," Phys. Rev. 131, 2354 (1963).
I. Prigogine and G. Severne, "The General Theory of Transport Processes and the Correlation Function Method," Phys. Lett. 6, 177 (1963).
R. E. Nettleton, "Antireciprocity and Memory in the Statistical Approach to Irreversible Thermodynamics," J. Chem. Phys 40, 112 (1964).
T. L. Hill and I. W. Plesner, "Studies in Irreversible Thermodynamics," J. Chem. Phys 43, 267 (1965).
G. Severne, Physica 31 877 (1965).
G. Ludwig, J. Schröter and W. J. C. Müller, "Derivation of Boltzmann's Equation with Assumption of Determinacy," Physica 30 479 (1964).
R. Aronson, "Nonperturbative Proof of Some Results in Nonequilibrum Statistical Mechanics," Phys. Rev. 145, 46 (1966).
B. I. Halperin and P. C. Hohenberg, "Generalization of Scaling Laws to Dynamic Properties of a System Near Its Critical Point," Phys. Rev. Lett. 19, 700 (1967).
F. C. Andrews, "Time-Correlation-Function Expressions for Linear and Nonlinear Transport Coefficients," J. Chem. Phys 47, 3161 (1967).
G. Sandri, A. Kritz and F. Schatzman, Ann. Phys. (N.Y.) 43, 452 (1967).
R. Balescu, Physica 38, 98 (1968).
R. G. Gordon, "Error Bounds in Equilibrium Statistical Mechanics," J. Math. Phys. 9, 655 (1968).
B. I. Halperin and P. C. Hohenberg, "Scaling Laws for Dynamical Critical Phenomena," Phys. Rev. 177, 952 (1969).
L. P. Kadanoff and J. Swift, "Transport Coefficients Near the Liquid-Vapor Critical Point," Phys. Rev. 166, 89 (1968).
P. H. E. Meijer and J. C. Edwards, "Modification of the Minimum-Energy-Production Principle," Phys. Rev. A 1, 1527 (1970).
F. X. Murphy and G. Sandri, "Causality of the Nonequilibrium Correlation Functions," Phys. Rev. Lett. 27, 376 (1971).
A. N. Kaufman, "Resonance Broadening in Mode Coupling," Phys. Rev. Lett. 27, 381 (1971).
A. H. Kritz, G. V. Ramanathan and G. Sahdri, "Failure of Bogoliubov's Functional Assumption," Phys. Rev. A 6, 1950 (1972).
H. Risken, Z. Phys. 251, 231 (1972).
A. B. Corbet and H. J. Morowitz, "Information-Theoretic Derivation of a Nonquilibrium Velocity Distribution," Phys. Rev. A 6, 2298 (1972).
R. Landauer and J. W. F. Woo, "Entropy Changes in the Steady State Far From Equilibrium," Phys. Rev. A 6, 2204 (1972).
O. Platz and R. G. Gordon, "Rigorious Bounds for Time-Dependent Correlation Functions," Phys. Rev. Lett. 30, 264 (1973).
R. Graham, "Statistical Theory of Instabilities in Stationary Non-Equilibrium Systems with Applications to Lasers and Nonlinear Optics," Springer Tracts in Modern Physics 66 (Springer, 1974).
W. A. Smith, "Efficient Calculation of Correlation Functions for a Fokker-Planck System," Phys. Rev. Lett. 32, 1 (1974).
F. L. Ridener, Jr. and R. H. Good, Jr., "Dispersion Relations for Nonlinear Systems of Arbitrary Degree," Phys. Rev. B 11, 2768 (1975).
U. Deker and F. Haake, "Fluctuation-Dissipation Theorems for Classical Processes," Phys. Rev. A 11, 2043 (1975).
J. Schnakenberg, "Network Theory of Microscopic and Macroscopic Behavior of Master Equation Systems," Rev. Mod. Phys. 48, 571 (1976).
I. Procaccia, D. Ronis and I. Oppenheim, "Light Scattering from Nonequilibrium Stationary States: The Implication of Broken Time-Reversal Symmetry," Phys. Rev. Lett. 42, 287 (1979).
H. Haken, Ed., The Fokker-Planck Equation: Methods of Solution and Application (Springer, 1983).
P. Hänggi and Pl Talkner, "Memory Index of First-Passage Time: A Simple Measure of Non-Markovian Character," Phys. Rev. Lett. 51, 2242 (1983).
F. Vivaldi, G. Casati and I. Guarneri, "Origin of Long-Time Tails in Strongly Chaotic Systems," Phys. Rev. Lett. 51, 727 (1983).
I. Prigogine, "Irreversibility in Space-Time Structure," in Fluctuations and Sensitivity in Non-Equilibrium Systems, ed. by W. Horsthemke and D. K. Kondepudi (Springer, 1984).
B. L. Holian, W. G. Hoover and L. A. Posch, "Resolution of Loschmidt's Paradox: The Origin of Irreversible Behavior in Reversible Atomistic Dynamics," Phys. Rev. Lett. 59, 10 (1987).
T. Leiber, F. Marchesoni and H. Risken, "Colored Noise and bistable Fokker-Planck Equations," Phys. Rev. Lett. 59, 1381 (1987).
D. J. Evans and A. Baranyai, "Possible Variational Principle for Steady States Far From Equilibrium," Phys. Rev. Lett. 67, 2597 (1991).

Ratches and Rectification of Noise

R. Riskin and H. D. Vollmer, Z. Phys. B 35, 177 (1979).
R. Landauer and M. Büttiker, Physica Scripta T9, 155 (1985).
Y. M. Blanter and M. Büttiker, "Rectification of Fluctuations in an Underdamped Ratchet," Phys. Rev. Lett. 81, 4040 (1998).

General Rigorous Theory of Phase Transitions

C. N. Yang and T. D. Lee, "Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation," Phys. Rev. 87, 404 (1952).
C. N. Yang and T. D. Lee, "Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model," Phys. Rev. 87, 410 (1952).
A. Münster, Z. Wiss. 6a, 139 (1951).
A. Münster, Z. Wiss. 7a, 613 (1952).
S. Ono, Prog. Theor. Phys. 8, 1 (1952).
A. J. F. Siegert, "Remarks on the Theory of Fusion and Condensation," Phys. Rev. 90, 97 (1953).
B. Widom, "On the Structure of the Configuration Integral in the Statistical Mechanics of Pure Fluids," J. Chem. Phys. 23, 560 (1955).
D. Ruelle, "Statistical Mechanics of a One-Dimensional Lattice Gas," Comm. Math. Phys. 9, 267 (1968).
L. Van Hove, "Quelque Proprietes Generale de l'Intégrale de Configuration d'un Système de Particles avec Interaction," Physica 15, 951 (1949).
L. Van Hove, "Sur l'Intégrale de Configuration pour les Systèmes de Particules à une Dimension," Physica 15, 951 (1949).
M. B. Lewis and A. J. F. Siegert, "Extension of the Condensation Theory of Yang and Lee to the Pressure Ensemble," Phys. Rev. 101, 1227 (1956).
S. Katsura, Adv. Phys. 12, 391 (1963).
E. H. Hauge and P. C. Hemmer, "On the Yang-Lee Distribution of Roots," Physica 29, 1338 (1963).
P. C. Hemmer and E. H. Hauge, "Yang-Lee Distribution of Zeros for a van der Waals Gas," Phys. Rev. 133, A1010 (1963).
E. Byckling, "Calculation of the Yang-Lee Distribution of Zeros," Phys. Rev. 140, A1165 (1963).
E. Byckling, "Calculation of the Yang-Lee Distribution of Zeros," Phys. Rev. 140, A1165 (1963).
D. Ruelle, "A Variational Formulation of Equilibrium Statistical Mechanics," Comm. Math. Phys. 5, 324 (1967).
R. A. Minlos and Y. G. Sinai, "The Phenomenon of Phase Separation at Low Temperatures in Certain Lattice Models of a Gas," Dokl. Akad. Nauk. 175, 323 (1967) [Sov. Phys. Sokl. 12 (1967)].
G. Gallavotti, S. Miracle and D. W. Robinson, "Analyticity Properties of a Lattice Gas," Phys. Lett. 25A, 493 (1967).
N. D. Mermin, "Absence of Ordering in Certain Classical Systems," J. Math. Phys. 8, 1061 (1967).
O. Penrose and J. S. N. Elvey, Systems,"The Yang-Lee Distribution of Zeros for a Classical One-Dimensional Fluid," J. Phys. A1, 661 (1968).
M. E. Fisher, "Renormalization of Critical Exponents by Hidden Variables," Phys. Rev. 176, 257 (1968).
I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 57, 673 (1969).
G. Stell, "Extension of the Ornstein-Zernicke Theory to the Critical Region," Phys. Rev. B 1, 2265 (1970).
T. Asano, "Theorems on the Partition Functions of the Heisenberg Ferromagnets," J. Phys. Soc. Jpn. 29, 350 (1970).
M. E. Fisher and B. U. Felderhof, "Phase Transitions in One-Dimensional Cluster-Interaction Fluids," Ann. Phys. (N.Y.) 58, 176, 217 (1970).
D. Ruelle, "Extension of the Lee-Yang Circle Theorem," Phys. Rev. Lett. 26, 303 (1970).
L. Gunther, D. J. Bergman and Y. Imry, "Renormalized Critical Behavior or First-Order Phase Transitions?" Phys. Rev. Lett. 27, 558 (1971).
C. J. Thompson, Mathematical Statistical Mechanics, (MacMillan, 1972).
C. Domb and M. S. Green, Phase Transitions and Critical Phenomena, (Academic Press, 1972).
R. Balian and G. Toulouse, "Critical Exponents for Transitions with n=-2 Components of the Order Parameter," Phys. Rev. Lett. 30, 544 (1973).
M. E. Fisher, "Classical n-Component Spin Systems or Fields with Negative Integral n," Phys. Rev. Lett. 30, 679 (1973).
M. E. Fisher and G. Orkoulas, "The Yang-Yang Anomaly in Fluid Criticality: Experiment and Scaling Theory," Phys. Rev. Lett. 85, 696 (2000).

Theory of Phase Transformations - Miscellaneous

V. L. Ginzburg, Fiz. Tverd. Tela 21, 2031 (1960) [Sov. Phys. Solid State 2, 1824 (1961)].
S. Strässler and C. Kittel, "Degneracy and the Order of the Phase Transformation in the Molecular-Field Approximation," Phys. Rev. 139, A758 (1965).
T. Iyuyama, "A General Theory of the Second Order Phase Transition," J. Phys. Soc. Jpn. 22, 58 (1967).
B. I. Halperin and P. C. Hohenberg, "Scaling Laws for Dynamic Critical Phenomena," Phys. Rev. 177, 952 (1969).
L. P. Kadanoff, "Operator Algebra and the Determination of Critical Indices," Phys. Rev. Lett. 23, 1430 (1969).
L. P. Kadanoff and J. Swift, "Transport Coefficients Near the Liquid-Gas Critical Point," Phys. Rev. 166, 89 (1968).
R. A. Ferrell, "Decoupled-Mode Dynamical Scaling Theory of the Binary-Liquid Phase Transition," Phys. Rev. Lett. 23, 1430 (1969).
J. Mikeska and H. Schmidt, J. Low Temp. Phys. 2, 371 (1970).
K. G. Wilson, "Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture," Phys. Rev. B 4, 3174 (1971).
D. D. Betts, A. J. Guttman and G. S. Joyce, Lattice-Lattice Scaling and the Generalised Law of the Corresponding States," J. Phys. C 4, 1994 (1971).
A. Hankey, H. E. Stanley and T. S. Chang, "Geometric Predictions of Scaling at Tricritical Points," Phys. Rev. Lett. 29, 278 (1972).
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Statistical Hydrodynamical Systems

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Double-Time Green's Functions in Classical Statistical Mechanics

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Statistical Mechanics of Solitons

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Ordering Effects Far From Equilibrium

H. K. Janssen and B. Schmittmann, "Field Theory of Critical Behavior in Driven Diffusion Systems," Z. Phys. B 64, 503 (1986).
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Statistics of Nonequilibrium Steady States

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Over-Barrier Escape of Driven or Noisy Systems

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Molecular Dynamics Approach to Statistical Problems

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Matter in Electric and Magnetic Fields

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Virial Theorem and Applications

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