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We consider the 1D motion of an overdamped Brownian particle in a generalpotential in the low temperature limit. We derive an explicit expression forthe probability distribution for the heat transferred to the particle. We findthat the local minima in the potential yield divergent side bands in the heatdistribution in addition to the divergent central peak. The position of thebands are determined by the potential gaps. We, moreover, determine the tailsof the heat distribution.

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