Transport-induced correlations in weakly interacting systems

Abstract

We study spatial correlations in the transport of energy between two baths at different temperatures. To do this, we introduce a minimal model in which energy flows from one bath to another through two subsystems. We show that the transport-induced energy correlations between the two subsystems are of the same order as the energy fluctuations within each subsystem. The correlations can be either positive or negative and we give bounds on their values which are associated with a dynamic energy scale. The different signs originate as a competition between fluctuations generated near the baths, and fluctuations of the current between the two subsystems. This interpretation sheds light on known results for spatially-dependent heat and particle conduction models.

6 pages, 2 figures

References in corpus (5)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• On the heat flux and entropy produced by thermal fluctuations
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
• Non differentiable large-deviation functionals in boundary-driven diffusive systems

Cited by in corpus (4)

• Singularities in large deviation functions
• Singularities in Large Deviation Functionals of Bulk-Driven Transport Models
• Extreme current fluctuations of boundary-driven systems in the large-N limit
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective