Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism

Details Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism

2009-06-24

arxiv.org/abs/0906.4583v1

Phys. Rev. E 79, 051116 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.79.051116

In this paper, we study exactly the thermal conductance for a low dimensional
system represented by two coupled massive Brownian particles, both directly and
via a Green-Kubo expression. Both approaches give exactly the same result. We
also obtain exactly the steady state probability distribution for that system
by means of time-averaging.

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