Thursday, July 26, 2012

1207.6044 (Welles A. M. Morgado et al.)

The role of the nature of the noise in the thermal conductance of
mechanical systems

Welles A. M. Morgado, Silvio M. Duarte Queiros
Focussing on a paradigmatic small system consisting of two coupled damped oscillators, we survey the role of the L\'evy-It\^o nature of the noise in the thermal conductance. For white noises, we prove that the L\'evy-It\^o 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.
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