A mechanical model for Fourier's law of heat conduction

Details A mechanical model for Fourier's law of heat conduction A mechanical model for Fourier's law of heat conduction

2011-02-27

arxiv.org/abs/1102.5488v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous justification. A rigorous derivation of Fourier's law for heat conduction from the laws of mechanics remains thus a major unsolved problem. In this note we present a deterministic mechanical model of a heat-conducting chain with nontrivial interactions, where kinetic energy fluctuations at the nodes of the chain are removed. In this model the derivation of Fourier's law can proceed rigorously.

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