Thermal Conductivity of the Toda Lattice with Conservative Noise

被引：0
作者：
Alessandra Iacobucci
Frédéric Legoll
Stefano Olla
Gabriel Stoltz
机构：
[1] Université de Paris Dauphine,CEREMADE, UMR
[2] Université Paris Est,CNRS 7534
[3] Université Paris Est,UR Navier, Projet MICMAC Ecole des Ponts ParisTech—INRIA
来源：
Journal of Statistical Physics | 2010年 / 140卷
关键词：
Thermal conductivity; Toda lattice; Anomalous heat transport; Fourier’s law; Nonequilibrium systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the thermal conductivity of the one dimensional Toda lattice perturbed by a stochastic dynamics preserving energy and momentum. The strength of the stochastic noise is controlled by a parameter γ. We show that heat transport is anomalous, and that the thermal conductivity diverges with the length n of the chain according to κ(n)∼nα, with 0<α≤1/2. In particular, the ballistic heat conduction of the unperturbed Toda chain is destroyed. Besides, the exponent α of the divergence depends on γ.
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页码：336 / 348
页数：12
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