Hydrostatics and Dynamical Large Deviations of Boundary Driven Gradient Symmetric Exclusion Processes
نویسنده
چکیده
We prove hydrostatics of boundary driven gradient exclusion processes, Fick’s law and we present a simple proof of the dynamical large deviations principle which holds in any dimension.
منابع مشابه
From Dynamic to Static Large Deviations in Boundary Driven Exclusion Particle Systems
We consider the large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell’s strategy, we prove that the rate function is given by the quasi–potential of the Freidlin and Wentzell theory. This result is motivated by the recent developments on the...
متن کاملDynamical Large Deviations for the Boundary Driven Weakly Asymmetric Exclusion Process
We consider the weakly asymmetric exclusion process on a bounded interval with particles reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in the diffusive scaling, is given by the viscous Burgers equation with Dirichlet boundary conditions. We prove the associated dynamical large deviations principle.
متن کاملStatic Large Deviations of Boundary Driven Exclusion Processes
We prove that the stationary measure associated to a boundary driven exclusion process in any dimension satisfies a large deviation principle with rate function given by the quasi potential of the Freidlin and Wentzell theory.
متن کاملEntropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes
We examine the entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes. In contrast with the Gibbs–Shannon entropy [1, 10], the entropy of nonequilibrium stationary states differs from the entropy of local equilibrium states.
متن کاملStationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes
We prove nonequilibrium fluctuations for the boundary driven symmetric simple exclusion process. We deduce from this result the stationary fluctuations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009