Selected lecture notes and problems from Nonequilibrium Statistical Physics (PHY 626), taught by Gerhard Müller at the University of Rhode Island.
Some Relevant Textbooks and Monographs:
L. E. Reichl: A modern course in statisitical physics. Wiley-Interscience, New York 1998.
R. E. Wilde and S. Singh: Statistical mechanics. Fundamentals and modern applications. Wiley, New York 1998.
C. W. Gardiner: Handbook of stochastic methods for physics, chemistry, and the natural sciences. Springer-Verlag, New York 1985.
W. Brenig: Statistical theory of heat. Nonequilibrium phenomena. Springer-Verlag, New York 1989.
R. Kubo, M. Toda, and N. Hashitsume: Statistical physics II. Nonequilibrium statistical mechanics. Springer-Verlag, New York 1985.
E. Fick and G. Sauermann: The quantum statistics of dynamic processes. Springer-Verlag, New York 1990.
J. McLennan: Introduction to nonequilibrium statistical mechanics. Prentice Hall 1989.
S. W. Lovesey: Condensed matter physics. Dynamic correlations.Benjamin/ Cummings, Reading 1980.
J. Honerkamp: Statistical physics. An advanced approach with applications. Springer-Verlag, New York 1998.
A. Papoulis: Probability, random variables, and stochastic processes. McGraw-Hill, New York 1991.
R. F. Streater: Statistical dynamics. A stochastic approach to nonequilibrium thermodynamics. Imperial College Press, London 1995.
R. Balescu: Statistical dynamics. Matter out of equilibrium. Imperial College Press, London 1997.
Gerd Röpke: Nonequilibrium statistical physics. Wiley-VCH, 2013.
R. Mahnke, J. Kaupuzs, and I. Lubashevsky: Physics of stochastic processes. Wiley-VCH, 2009.
V.S. Viswanath and G. Müller: The recursion method. Applications to many-body dynamics. Springer-Verlag, New York 1994.
Do you have a question about any of the problems? Do you need a hint? Do you wish to suggest additional problems? Do you have a question about the lecture notes? Did you find any mistakes? Entries listed in the table of contents, but not shown in the document, exist only in handwritten form. Documents will be updated periodically as more entries become presentable. Drop a note to gmuller@uri.edu
Submissions from 2016
11. Recursion Method: Concepts, Gerhard Müller
Submissions from 2015
01. Introduction: Maps, Gerhard Müller
02. Probability: Intuition - Ambiguity - Absurdity - Puzzles, Gerhard Müller
03. Elements of Probability Theory with Applications, Gerhard Müller
04. Random Variables: Concepts, Gerhard Müller
05. Random Variables: Applications, Gerhard Müller
06. Stochastic Processes: Concepts, Gerhard Müller
07. Stochastic Processes: Applications, Gerhard Müller
08. Brownian Motion, Gerhard Müller
09. Linear Response and Equilibrium Dynamics, Gerhard Müller
10. Zwanzig-Mori Formalism, Gerhard Müller