Hans C Fogedby and Alberto Imparato 2009 J. Phys. A: Math. Theor. 42 475004 doi:10.1088/1751-8113/42/47/475004
Hans C Fogedby1,2 and Alberto Imparato1
Show affiliationsWe 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.
44.05.+e Analytical and numerical techniques
62Exx Distribution theory (See also 60Exx)
80A20 Heat and mass transfer, heat flow
60Bxx Probability theory on algebraic and topological structures
Issue 47 (27 November 2009)
Received 3 September 2009, in final form 12 October 2009
Published 6 November 2009
Hans C Fogedby and Alberto Imparato 2009 J. Phys. A: Math. Theor. 42 475004
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