Hot scatterers and tracers for the transfer of heat in collisional dynamics

Abstract : We introduce stochastic models for the transport of heat in systems described by local collisional dynamics. The dynamics consists of tracer particles moving through an array of hot scatterers describing the effect of heat baths at fixed temperatures. Those models have the structure of Markov renewal processes. We study their ergodic properties in details and provide a useful formula for the cumulant generating function of the time integrated energy current. We observe that out of thermal equilibrium, the generating function is not analytic. When the set of temperatures of the scatterers is fixed by the condition that in average no energy is exchanged between the scatterers and the system, different behaviours may arise. When the tracer particles are allowed to travel freely through the whole array of scatterers, the temperature profile is linear. If the particles are locked in between scatterers, the temperature profile becomes nonlinear. In both cases, the thermal conductivity is interpreted as a frequency of collision between tracers and scatterers.
Type de document :
Pré-publication, Document de travail
Liste complète des métadonnées
Contributeur : Lorenzo Zambotti <>
Soumis le : mardi 9 juin 2009 - 17:38:39
Dernière modification le : mercredi 21 mars 2018 - 18:56:48

Lien texte intégral


  • HAL Id : hal-00393807, version 1
  • ARXIV : 0904.0020



Raphael Lefevere, Lorenzo Zambotti. Hot scatterers and tracers for the transfer of heat in collisional dynamics. 2009. 〈hal-00393807〉



Consultations de la notice