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.
Author(s): Halid Bikkin, Igor I. Lyapilin
Series: De Gruyter Textbook
Edition: 2
Publisher: De Gruyter
Year: 2021
Language: English
Pages: 436
City: Berlin
Authors’ introduction
Contents
1 Phenomenological thermodynamics of irreversible processes
2 Brownian motion
3 Kinetic equations in non-equilibrium statistical mechanics
4 Kinetic equation for electrons and phonons in conducting crystals
5 Theory of linear response to an external mechanical perturbation
6 Non-equilibrium statistical operator method
7 Physical principles of spintronics
8 Response of a highly non-equilibrium system to a weak measuring field
9 Master equation approach
Bibliography
Index