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费米-帕斯塔-乌拉姆β模型:边界跳跃、傅里叶定律与标度律

Fermi-Pasta-Ulam beta model: boundary jumps, Fourier's law, and scaling.

作者信息

Aoki K, Kusnezov D

机构信息

Department of Physics, Keio University, 4-1-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8521, Japan.

出版信息

Phys Rev Lett. 2001 Apr 30;86(18):4029-32. doi: 10.1103/PhysRevLett.86.4029.

Abstract

We examine the interplay of surface and volume effects in systems undergoing heat flow. In particular, we compute the thermal conductivity in the Fermi-Pasta-Ulam beta model as a function of temperature and lattice size, and scaling arguments are used to provide analytic guidance. From this we show that boundary temperature jumps can be quantitatively understood, and that they play an important role in determining the dynamics of the system, relating soliton dynamics, kinetic theory, and Fourier transport.

摘要

我们研究了热流系统中表面效应和体积效应的相互作用。特别地,我们计算了费米 - 帕斯塔 - 乌拉姆β模型中作为温度和晶格尺寸函数的热导率,并使用标度论证提供解析指导。由此我们表明,边界温度跃变可以得到定量理解,并且它们在确定系统动力学、关联孤子动力学、动力学理论和傅里叶输运方面起着重要作用。

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