Fourier Law from Hamiltonian Dynamics
نویسنده
چکیده
The rigorous derivation of Fourier’s law of heat conduction for an interacting system of Hamiltonian particles is a classical and fundamental goal of statistical physics. I will consider the ball-piston system which is a dimension-reduced-version of a 2008 model of Gaspard and Gilbert. The direct aim is to treat its rare interaction limit leading to the mesoscopic master equation, i. e. to a Markov jump process for the energies of the particles. Our approach relies on Chernov-Dolgopyat averaging applied to a subsystem. In particular, I will show how a correlation decay bound of Chernov obtained for a 2D Sinai billiard flow can be extended. The talk is based on joint works with P. Bálint, Th. Gilbert, P. Nándori, IP. Tóth.
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