• Citer

Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes

par Gilbert, Thomas
Référence Journal of Statistical Mechanics: Theory and Experiment, 2017, 8, 083205
Publication Publié, 2017-08

Article révisé par les pairs

• Détails
• Contenu

Résumé :

I revisit the exactly solvable Kipnis-Marchioro-Presutti model of heat conduction (Kipnis et al 1982 J. Stat. Phys. 27 65) and describe, for one-dimensional systems of arbitrary sizes whose ends are in contact with thermal baths at different temperatures, a systematic characterisation of their non-equilibrium stationary states. These arguments avoid resorting to the analysis of a dual process and yield a straightforward derivation of Fourier's law, as well as higher-order static correlations, such as the covariant matrix. The transposition of these results to families of gradient models generalising the KMP model is established and specific cases are examined.