Nonlinear nonequilibrium thermodynamics I. Linear and nonlinear fluctuation-dissipation theorems
type: Item
instance of: scholarly article
title: Nonlinear nonequilibrium thermodynamics I. Linear and nonlinear fluctuation-dissipation theorems
zbMATH Open document ID: 0786.73002
author: Rouslan L. Stratonovich
published in: Springer Series in Synergetics
publication date: 1993-01-23T00:00:00Z
review text: This volume belongs to a series devoted to a field that falls between different spheres of interest and thus might be, unfortunately, overlooked. Synergetics is concerned with cooperation of different parts of a system that produces macroscopic structures. The reviewer, whose main interest is continuum thermomechanics, regrets particularly the relatively scarce attention paid by his community to the field. This first volume could be a good introduction to the subfield which the author calls nonlinear nonequilibrium and fluctuation-dissipative thermodynamics (advanced problems are considered in the second volume). The six chapters are devoted respectively to: Preliminary concepts; Essential aspects of probability theory; Systems without after-effect: Generating equation and consequences; Systems where after-effect is allowed: Theory and applications. The level of rigour is that generally accepted in theoretical physics; if the mathematical reader feels impelled to improve and enlarge, the book will achieve one of its aims. The reviewer recommends it to the attention of many, though the specificity of the title will deter some. Notice that the references are mainly to papers in Russian, apart some books and contributions to the Rev. Mod. Phys.
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 82Cxx
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 108469
zbMATH Keywords: systems with after-effect
zbMATH Keywords: systems without after-effect
zbMATH Keywords: generating equation
reviewed by: Gianfranco Capriz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 108469