Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-12-07
Phys.Rev.E 71(6),061202(2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 7 figures
Scientific paper
10.1103/PhysRevE.71.061202
We investigate the heat conduction in a quasi 1-D gas model with various degree of chaos. Our calculations indicate that the heat conductivity $\kappa$ is independent of system size when the chaos of the channel is strong enough. The different diffusion behaviors for the cases of chaotic and non-chaotic channels are also studied. The numerical results of divergent exponent $\alpha$ of heat conduction and diffusion exponent $\beta$ are in consistent with the formula $\alpha=2-2/\beta$. We explore the temperature profiles numerically and analytically, which show that the temperature jump is primarily attributed to superdiffusion for both non-chaotic and chaotic cases, and for the latter case of superdiffusion the finite-size affects the value of $\beta$ remarkably.
Ji Yong-Yun
Li You-Quan
Mao Jun-Wen
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