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Fourier law in the alternate mass hard-core potential chain

Baowen Li·Giulio Casati·Jiao Wang·Tomaz Prosen
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Abstract

We study energy transport in a one-dimensional model of elastically colliding particles with alternate masses $m$ and $M$. In order to prevent total momentum conservation we confine particles with mass $M$ inside a cell of finite size. We provide convincing numerical evidence for the validity of Fourier law of heat conduction in spite of the lack of exponential dynamical instability. Comparison with previous results on similar models shows the relevance of the role played by total momentum conservation.

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Baowen Li, Giulio Casati, Jiao Wang, Tomaz Prosen. 2003-07-29. Fourier law in the alternate mass hard-core potential chain. https://doi.org/10.1103/physrevlett.92.254301

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