Correlations of the density and of the current in non-equilibrium diffusive systems. (9th November 2016)

• Record Type: Journal Article
• Authors: Sadhu, Tridib; Derrida, Bernard
• Is Part Of: Journal of statistical mechanics. (2016:Nov.)
• Publication Date: 2016-11-09
• Subjects: 1 -- 16; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/11/113202
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the hydrodynamic limit in terms of the diffusivity and the mobility. Within this hydrodynamic framework we discuss a generalization of the fluctuation dissipation relation in a non-equilibrium steady state where the response function is expressed in terms of the two-time correlations. We compare our results to an exact solution of the symmetric exclusion process. This exact solution also allows one to directly verify the fluctuating hydrodynamics equation.