Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems (Springer Series in Synergetics Book 57) 1st Edition by Rouslan L. Stratonovich (PDF)

Description

This book gives the first detailed coherent treatment of a relatively young branch of statistical physics – nonlinear nonequilibrium and fluctuation-dissipative thermo­ dynamics. This area of research has taken shape fairly recently: its development began in 1959. The earlier theory -linear nonequilibrium thermodynamics – is in principle a simple special case of the new theory. Despite the fact that the title of this book includes the word “nonlinear”, it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unity of this discipline, and the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. Here one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less well known than their linear counterparts.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book summarizes the research performed during a 30 years time span (1960-1990) on extensions of the fluctuation-dissipation theorem to relations among higher order correlators and nonlinear response characteristics. Both classical Markovian and fully quantum mechanical extensions are discussed. The book is well written and readable by specialists, although the topic is quite complex.Very little has been done in this field at the fundamental level since publication of this book. So, I recommend it for all researchers dealing with nonequilibrium statistical mechanics. I give only 4 stars because the first volume of the book is written primarily for specialists. It is not a pedagogical introduction into the topic, although it could be.

⭐Not found.

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