Europhys. Lett.
Volume 68, Number 6, December 2004
Page(s) 790 - 796
Section General
Published online 26 November 2004
Europhys. Lett., 68 (6), pp. 790-796 (2004)
DOI: 10.1209/epl/i2004-10291-5

Temperature profiles in Hamiltonian heat conduction

J.-P. Eckmann1, 2 and L.-S. Young3

1  Département de Physique Théorique, Université de Genève - Geneva, Switzerland
2  Section de Mathématiques, Université de Genève - Geneva, Switzerland
3  Courant Institute for Mathematical Sciences, New York University - New York, USA

received 12 August 2004; accepted in final form 22 October 2004
published online 26 November 2004

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter $\alpha$, and is linear only when $\alpha=1$. The value of $\alpha$ depends on energy-exchange mechanisms, including the range of motion of tracer particles and their times of flight.

05.70.Ln - Nonequilibrium and irreversible thermodynamics.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.

© EDP Sciences 2004