1 Department of Physics and Astronomy, Faculty of Science, Aarhus University, Aarhus University2 Teoretisk naturvidenskab, Aarhus University, Aarhus University3 Department of Physics and Astronomy, Science and Technology, Aarhus University4 Department of Physics and Astronomy, Science and Technology, Aarhus University
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.
Journal of Physics A: Mathematical and Theoretical, 2009, Vol 42, Issue 47