Nonequilibrium Invariant Measure under Heat Flow

Details Nonequilibrium Invariant Measure under Heat Flow Nonequilibrium Invariant Measure under Heat Flow

2008-06-26

arxiv.org/abs/0806.4303v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.101.120604

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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