Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state View Full Text


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Article Info

DATE

1991-08

AUTHORS

Gregory Eyink, Joel L. Lebowitz, Herbert Spohn

ABSTRACT

Extending the results of a previous work, we consider a class of discrete lattice gas models in a finite interval whose bulk dynamics consists of stochastic exchanges which conserve the particle number, and with stochastic dynamics at the boundaries chosen to model infinite particle reservoirs at fixed chemical potentials. We establish here the local equilibrium structure of the stationary measures for these models. Further, we prove as a law of large numbers that the time-dependent empirical density field converges to a deterministic limit process which is the solution of the initial-boundary value problem for a nonlinear diffusion equation. More... »

PAGES

119-131

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02099293

DOI

http://dx.doi.org/10.1007/bf02099293

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013107580


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