An H-theorem for the Brownian motion on the hyperbolic plane

Details An H-theorem for the Brownian motion on the hyperbolic plane An H-theorem for the Brownian motion on the hyperbolic plane

2010-09-16

arxiv.org/abs/1009.3232v3

Physics

Condensed Matter

Statistical Mechanics

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Scientific paper

We prove an $H-$theorem for the Brownian motion on the hyperbolic plane with
a drift, as studied by Comtet and Monthus; the entropy used here is not the
Boltzmann entropy but the R\'enyi entropy, the parameter of which being related
in a simple way to the value of the drift.

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