Weak coupling limits in a stochastic model of heat conduction

Abstract

We study the Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local equilibrium measure in terms of the strength of coupling. For three and four site systems, we obtain the two-point correlation function and show it is generically not multilinear.

18 pages

References in corpus (5)

• Stochastic interacting particle systems out of equilibrium
• Duality and hidden symmetries in interacting particle systems
• Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
• Duality and exact correlations for a model of heat conduction
• Rigorous meaning of McLennan ensembles

Cited by in corpus (6)

• Large Deviations in Stochastic Heat-Conduction Processes Provide a Gradient-Flow Structure for Heat Conduction
• Large deviations in the symmetric simple exclusion process with slow boundaries
• Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries
• Current fluctuations in a semi-infinite line
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Multilinearity of two-point correlation functions in one-dimensional models out of equilibrium