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Fourier law in the alternate-mass hard-core potential chain
Baowen Li1, Giulio Casati, Jiao Wang
1Department of Physics, National University of Singapore, Singapore 117542, Republic of Singapore.
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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