Thermal contact through a two-temperature kinetic Ising chain

Michel Bauer (1, 2) , Françoise Cornu (3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 DMA - Département de Mathématiques et Applications - ENS Paris
3 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

We consider a model for thermal contact through a diathermal interface between two macroscopic bodies at different temperatures: an Ising spin chain with nearest neighbor interactions is endowed with a Glauber dynamics with different temperatures and kinetic parameters on alternating sites. The inhomogeneity of the kinetic parameter is a novelty with respect to the model of Ref.[1] and we exhibit its influence upon the stationary non equilibrium values of the two-spin correlations at any distance. By mapping to the dynamics of spin domain walls and using free fermion techniques, we determine the scaled generating function for the cumulants of the exchanged heat amounts per unit of time in the long time limit.

Mots clés: exact analytical results; thermal contact; Glauber spin dynamics; current fluctuations

Domaines: Physique [physics]

Michel Bauer, Françoise Cornu. Thermal contact through a two-temperature kinetic Ising chain. Journal of Physics A General Physics (1968-1972), 2018, 51, pp.19. ⟨10.1088/1751-8121/aab9e7⟩. ⟨cea-01930110⟩