Nonlinear Nonequilibrium Thermodynamics II: Advanced TheoryThis two-volume work gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuational dissipative thermodynamics. This area of research has taken shape rather recently: its de~elopment began in 1959. The earlier theory - linear nonequilibrium ther modynamics - is in principle a simple special case of the new theory. Despite the fact that the title of the 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 unjty of this dis cipline, 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. There one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less known than their linear counterparts. The present second volume of the book deals with the advanced theory. It consists of four chapters. The connection and interdependence of the material in the various chapters of both volumes are illustrated in the accompanying diagram. |
Contents
Generating Equations of NonMarkov Theory | 1 |
Method of Projection in Space of Phase Space Distributions | 4 |
Nonequilibrium Thermodynamics of Open Systems | 40 |
Copyright | |
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Other editions - View all
Nonlinear Nonequilibrium Thermodynamics II: Advanced Theory Rouslan L. Stratonovich Limited preview - 2013 |
Nonlinear Nonequilibrium Thermodynamics II: Advanced Theory R. L. Stratonovich No preview available - 1994 |
Common terms and phrases
analogous approximation assume B₁ B₁(r Ba(t characteristic functional closed system coefficient coincides condition conjugate consider const constant correlators corresponds criterion critical point critical region denote density matrix derivatives Differentiating eigenvalues entropy equilibrium exponential function external forces FDRs fluxes Fokker-Planck equation follows formula free energy Gaussian gives H-theorem h₁ ha(t Hamiltonian Hence integration internal parameters introduce Ja(t kaß kinetic phase transition Langevin equation linear Lyapunov function Markov process master equation means minimal non-Markov nonequilibrium stationary nonequilibrium thermodynamics nonlinear nonquantum obey obtain open system probability density probability density w(B quantum quasi-frenergy quasiclassical moments random relations respect right-hand side Sect stable point stationary probability density subscripts Substituting t₁ t₂ Taylor series theorem theory time-reversal transformation valid values variables vector waves write y₁ yields zero