New PDF release: Systems Far from Equilibrium: Sitges Conference on

By L. Garrido

ISBN-10: 3540102515

ISBN-13: 9783540102519

ISBN-10: 3540383441

ISBN-13: 9783540383444

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Additional info for Systems Far from Equilibrium: Sitges Conference on Statistical Mechanics, June 1980, Sitges, Barcelona/Spain

Sample text

17), it is sufficient that the eigenvalue problem where the proportionality Equation constant ~ ~n appears ds/dw is pro- be solutions of the as the eigenvalue. 16) now reads. 19) is is positive . If s ~ is positive, = constant, on the other hand, s that the resulting droplet 9 distribution The eigenvalue which implies negative. Then definite, is the some as the then the only bounded solution which is not what we want. 18). L~cr; form the sign of W~(r) exp(-~t) c ) does, in fact, there must be exactly the solution equation describe for which of c~.

INTRODUCTION There are several interesting aspects in non-equilibrium statistical mechanics 1. One of them is to derive master equations, Fokker-Planck equations or nonlinear Langevin equations from microscopic equations of metion (or the Liouville egustion) under some conditions, using projection operators 2. Another very interesting and important subject in non-equilibrium statistical mechanics is to extract essential features of physical phenomena from semi-phenomenological equations of motion such as the nonlinear Fokker-Plsnck equation or nonlinear Lsngevin equations, using asymptotic evaluation methods.

This is called "the renormslized perturbation scheme of transient phenomena". A microscopic theory 15'15 of formation of macroscopic order is presented in order to show the existence of a finite onset time t o at which the macroscopic order sets in. To show this, we use the 49 variational principle proposed by Glsnsdorff and Prigogine 14, or the rate egustion method 13'15'16. We use a variational microscopic dis- tribution function with time-dependent temperature, which corresponds to the local equilibrium approximation 17'18.

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Systems Far from Equilibrium: Sitges Conference on Statistical Mechanics, June 1980, Sitges, Barcelona/Spain by L. Garrido


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