The role of the nature of the noise in the thermal conductance of mechanical systems
arXiv:1207.6044 · doi:10.1103/PhysRevE.86.041108
Abstract
Focussing on a paradigmatic small system consisting of two coupled damped oscillators, we survey the role of the Lévy-Itô nature of the noise in the thermal conductance. For white noises, we prove that the Lévy-Itô composition (Lebesgue measure) of the noise is irrelevant for the thermal conductance of a non-equilibrium linearly coupled chain, which signals the independence between mechanical and thermodynamical properties. On the other hand, for the non-linearly coupled case, the two types of properties mix and the explicit definition of the noise plays a central role.
9 pages, 2 figures. To be published in Physical Review E
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