Nonequilibrium Statistical Physics: Linear Irreversible Processes
While systems at equilibrium are treated in a unified manner through the partition function formalism, the statistical physics of out-of-equilibrium systems covers a large variety of situations that are often without apparent connection. This book proposes a unified perspective on the whole set of systems near equilibrium: it brings out the profound unity of the laws which govern them and gathers together a large number of results usually fragmented in the literature. The reader will find in this book a pedagogical account of the fundamental results: physical origins of irreversibility, fluctuation-dissipation theorem, Boltzmann equation, linear response, Onsager relations, transport phenomena, Langevin and Fokker-Planck equations. The book's comprehensive organization makes it valuable both as a textbook about irreversible phenomena and as a reference book for researchers.
Table of Contents
1: Random variables and random processes
2: Linear thermodynamics of irreversible processes
3: Statistical description of out-of-equilibrium systems
4: Classical systems: reduced distribution functions
5: The Boltzmann equation
6: Transport coefficients
7: From the Boltzmann equation to the hydrodynamic equations
8: The Bloch-Boltzmann theory of electronic transport
9: Master equations
10: Brownian motion: the Langevin model
11: Brownian motion: the Fokker-Planck equation
12: Linear responses and equilibrium correlations
13: General linear response theory
14: The fluctuation-dissipation theorem
15: Quantum theory of electronic transport
16: Thermal transport coefficients
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