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Fourier Law in the Alternate-Mass Hard-Core Potential Chain

2003/07/29 by Baowen Li, Giulio Casati, Jiao Wang +2
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #High-pressure geophysics and materials #Theoretical and Computational Physics #Thermal properties of materials #cond-mat.mes-hall #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.1103/physrevlett.92.254301

published as Phys. Rev. Lett. 92, 254301 (2004) · 4 Revtex pages, 7 EPS figures included

arxiv created 2003/07/29 · openalex publication_date 2004/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations