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Heat distribution function for motion in a general potential at low temperature

Hans C Fogedby et al 2009 J. Phys. A: Math. Theor. 42 475004 (8pp)   doi: 10.1088/1751-8113/42/47/475004  Help

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Hans C Fogedby1,2 and Alberto Imparato1
1 Department of Physics and Astronomy, University of Aarhus, Ny Munkegade, 8000, Aarhus C, Denmark
2 Niels Bohr Institute, Blegdamsvej 17, 2100, Copenhagen Ø, Denmark
E-mail: fogedby@phys.au.dk and imparato@phys.au.dk

Abstract. We consider the 1D motion of an over-damped Brownian particle in a general potential in the low temperature limit. We derive an explicit expression for the probability distribution for the heat transferred to the particle. We find that the local minima in the potential yield divergent side bands in the heat distribution in addition to the divergent central peak. The positions of the bands are determined by the potential gaps. We, moreover, determine the tails of the heat distribution.

PACS numbers: 05.40.−a, 05.70.Ln

Print publication: Issue 47 (27 November 2009)
Received 3 September 2009, in final form 12 October 2009
Published 6 November 2009

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