The Nonequilibrium Statistical Mechanics of Open and Closed Systems
Published on 13. June 1990
Book
Hardback
XI, 448 pages
978-3-527-26638-8 (ISBN)
Description
There is great current interest in nonlinear processes, and this book provides the necessary theory and methodology. The material in this book is applicable to weather systems, ocean currents, dye lasers and many other nonequilibrium systems. This textbook is suitable for use on graduate courses and for selfstudy aided by many physical chemical examples, and those interested in the book will include chemists, physicists, engineers and applied mathematicians.
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Content
Part 1 Introduction: evolution of complex systems; langevin equations; some problems. Part 2 Evolution of probability: stochastic rate equations; single degree of freedom; delta-correlated gaussian fluctuation; many degrees of freedom; fluctuations with a finite correlation time (colored noise); statistical measures. Part 3 Open systems: thermodynamic properties (nonequilibrium); dye laser with a fluctuating; pump parameter; chemical reaction with a fluctuating rate coefficient; bistable stochastic systems; mechanical oscillators with fluctuating frequences; kubo oscillator (semiclassical); Lorenz model (connection with chaos); odds and ends. Part 4 Closed systems (Hamiltonian systems); thermodynamic properties (nonequilibrium); projection operator techniques; explicit integration method; harmonic oscillator in a real fluid. Part 5 Reduced descriptions of non-Hamiltonian systems: statistical fluctuations in fluid flow; decimation procedure; projection method; explicit integration method. Part 6 Evolution of quantum systems: reduced density matrix (dynamical bath); reduced density matrix (c-number fluctuations). Part 7 Open systems (c-number fluctuations): linear oscillator; Haken-Strobi-Reineker (HSR) model; spin relaxations in an external fluctuating magnetic field. Part 8 Closed quantum systems (operator fluctuations): linear quantum oscillators; two-evel system in a linear bath; stochastic liouville equations; nonlinear coupling in bath variables; conclusions.