Spohn
Herbert
Theoretische Physik, Universität München, W-8000, München, Federal Republic of Germany
Ludwig Maximilian University of Munich
Department of Mathematics and Physics, Rutgers University, 08903, New Brunswick, NJ, USA
Eyink
Gregory
Mathematical Sciences
research_article
en
2019-04-11T12:04
119-131
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.
http://link.springer.com/10.1007/BF02099293
Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
articles
1991-08
https://scigraph.springernature.com/explorer/license/
1991-08-01
false
dimensions_id
pub.1013107580
Statistics
1
doi
10.1007/bf02099293
Lebowitz
Joel L.
140
3e70e2dab7ce501de980dcac55dee4830808d4e0bea58f6ef51e7abd58f2489b
readcube_id
Rutgers University
Department of Mathematics and Physics, Rutgers University, 08903, New Brunswick, NJ, USA
0010-3616
1432-0916
Communications in Mathematical Physics
Springer Nature - SN SciGraph project