Bikkin H., Lyapilin I.I. Non-equilibrium Thermodynamics and Physical Kinetics

2nd edition. — De Gruyter, 2021. — 450 p. — ISBN 978-3-11-072706-7.This graduate textbook covers contemporary directions of non-equilibrium statistical mechanics as well as classical methods of kinetics. Starting from phenomenological non-equilibrium thermodynamics, the kinetic equation method discussed and demonstrated with electrons and phonons in conducting crystals. Linear response theory as well as the non-equilibrium statistical operator and the master equation approach are discussed in the course of the book.
With one of the main propositions being to avoid terms such as "obviously" and "it is easy to show", this treatise is an easy-to-read introduction into this traditional, yet vibrant field. Problems and their well-documented solutions included at appropriate points of the narrative allow the reader to actively develop essential parts of the theory himself.From the content:Phenomenological thermodynamics of irreversible processes
Brownian motion
Kinetic equations in non-equilibrium thermodynamics
Kinetic equation for electrons and phonons in conducting crystals
Theory of non-linear response to an external mechanical pertubation
Non-equilibrium statistical operator method
Response of a highly non-equilibrium system to a weakly measuring field
Master equation approach