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Nonequilibrium Invariant Measure under Heat Flow

2008/06/26 by L. Delfini, Luca Delfini, S. Lepri +5 · 2 citations
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Material Dynamics and Properties #Thermal properties of materials #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.101.120604

arxiv created 2008/06/26 · openalex publication_date 2008/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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