Nonequilibrium Invariant Measure under Heat Flow

Abstract

We provide an explicit representation of the nonequilibrium invariant measure for a chain of harmonic oscillators with conservative noise in the presence of stationary heat flow. By first determining the covariance matrix, we are able to express the measure as the product of Gaussian distributions aligned along some collective modes that are spatially localized with power-law tails. Numerical studies show that such a representation applies also to a purely deterministic model, the quartic Fermi-Pasta-Ulam chain.

References in corpus (1)

• A momentum conserving model with anomalous thermal conductivity in low dimension

Cited by in corpus (5)

• Heat Transport in low-dimensional systems
• Heat conduction in disordered harmonic lattices with energy conserving noise
• Heat transport via low-dimensional systems with broken time-reversal symmetry
• Temperature profile and boundary conditions in an anomalous heat transport model
• Long-range correlations in a simple stochastic model of coupled transport