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At Coulomb blockade valleys inelastic cotunneling processes generateparticle-hole excitations in quantum dots (QDs), and lead to energydissipation. We have analyzed the probability distribution function (PDF) ofenergy dissipated in a QD due to such processes during a given time interval.We obtained analytically the cumulant generating function, and extracted theaverage, variance and Fano factor. The latter diverges as $T^3/(eV)^2$ at bias$eV$ smaller than the temperature $T$, and reaches the value $3 eV / 5$ in theopposite limit. The PDF is further studied numerically. As expected, Crooksfluctuation relation is not fulfilled by the PDF. Our results can be verifiedexperimentally utilizing transport measurements of charge.

Statistics of energy dissipation in a quantum dot operating in the cotunneling regime