Temperature profiles in Hamiltonian heat conductionJ.-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 , and is linear only when . The value of 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.
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