English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider a lattice gas on the discrete d-dimensional torus$(\mathbb{Z}/N\mathbb{Z})^d$ with a generic translation invariant, finite rangeinteraction satisfying a uniform strong mixing condition. The lattice gasperforms a Kawasaki dynamics in the presence of a weak external field E/N. Weshow that, under diffusive rescaling, the hydrodynamic behavior of the latticegas is described by a nonlinear driven diffusion equation. We then prove theassociated dynamical large deviation principle. Under suitable assumptions onthe external field (e.g., E constant), we finally analyze the variationalproblem defining the quasi-potential and characterize the optimal exittrajectory. From these results we deduce the asymptotic behavior of thestationary measures of the stochastic lattice gas, which are not explicitlyknown. In particular, when the external field E is constant, we prove astationary large deviation principle for the empirical density and show thatthe rate function does not depend on E.

Large deviation principles for nongradient weakly asymmetric stochastic lattice gases