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Spatial Distributions of Observables in Systems under Thermal Gradients

Kenichiro Aoki Dimitri Kusnezov
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Abstract

Departures of observables from their thermal equilibrium expectation values are studied under heat flow in steady-state non-equilibrium environments. The relation between the spatial and temperature dependence of these non-equilibrium behaviors and the underlying statistical properties are clarified from general considerations. The predictions are then confirmed in direct numerical simulations within the FPU-$β$ model. Non-equilibrium momentum distribution functions are also examined and characterized through their cumulants and the properties of higher order cumulants are discussed.

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Kenichiro Aoki Dimitri Kusnezov. 2004-05-21. Spatial Distributions of Observables in Systems under Thermal Gradients. https://arxiv.org/abs/nlin/0405050

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