Simple models of equilibrium and nonequilibrium phenomena
This volume consists of two articles of particular interest to researchers in the field of statistical mechanics. Its appeal is, however, not limited to this group. Both articles are written in a style that makes them accessible to graduate students and to scientists who are interested in but not specialists in this field. The first article is based on the premise that the best way to understand the qualitative properties that characterize many-body (i.e. macroscopic) systems is to study ``a number of the more significant model systems which, at least in principle are susceptible of complete analysis.'' The second article deals exclusively with nonequilibrium phenomena. It reviews the theory of fluctuations in open systems to which the authors have made important contributions.
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Elliott Waters Montroll M F Shlesinger and G H Weiss 1
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additive fluctuations amplitude asymptotic average Boltzmann equation boundary conditions Brownian particle canonical coefficients conditional probability consider constant Correlated fluctuations correlation function cumulant delta-correlated fluctuations denotes deterministic dissipation distribution function diverges dynamic equation eigenvalue energy envelope equation of evolution equations of motion equilibrium evaluate example finite correlation fixed points fluctuations f(t fluid Fokker-Planck equation frequency fluctuations Gaussian fluctuations given grand partition function Helmholtz free energy Hence independent integral interaction Langevin equation laser Lax pair Lindenberg master equation moments momentum multiplicative fluctuations nonlinear obtained one-dimensional oscillator parametric resonance partition function Percus pf(x phase space equation phase transition Phys physical potential solvable solved squarelets stability boundary statistical properties steady steady-state distribution stochastic stochastic oscillator surface thermodynamic limit variables velocity water waves wave field Xf(t yields zero zero-centered