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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 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 organisation makes it valuable both as a textbook about irreversible phenomena and as a reference book for researchers.
Random variables and random processes
Linear thermodynamics of irreversible processes
Statistical description of out-of-equilibrium systems
Classical systems: reduced distribution functions
The Boltzmann equation
Transport coefficients
From the Boltzmann equation to the hydrodynamic equations
The Bloch-Boltzmann theory of electronic transport
Master equations
Brownian motion: the Langevin equation
Brownian motion: the Fokker-Planck equation
Linear responses and equilibrium correlations
General linear response theory
The fluctuation-dissipation theorem
Quantum theory of electronic transport
Thermal transport coefficients