Thermal Conductivity of the Toda Lattice with Conservative Noise

Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano; Stoltz, Gabriel

Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano; Stoltz, Gabriel (2010), Thermal Conductivity of the Toda Lattice with Conservative Noise, Journal of Statistical Physics, 140, 2, p. 336-348. http://dx.doi.org/10.1007/s10955-010-9996-6

Type

Article accepté pour publication ou publié

External document link

http://fr.arxiv.org/abs/0912.3416v1

Date

2010

Journal name

Journal of Statistical Physics

Volume

140

Number

Publisher

Springer

Pages

336-348

Abstract (EN)

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 .

Subjects / Keywords

Thermal conductivity; Toda lattice; Anomalous heat transport; Fourier’s law; Nonequilibrium systems