Statistics of the dissipated energy in driven single-electron transitions
Department of Physics and Astronomy, Stony Brook University, SUNY - Stony Brook, NY 11794-3800, USA
2 Low Temperature Laboratory, Aalto University - P.O. Box 13500, 00076 Aalto, Finland, EU
Accepted: 26 October 2011
We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that, in spite of thermal fluctuations, vanishes together with the average dissipated energy. We show that the transitions satisfy Jarzynski equality for arbitrary drive and calculate the probability of the negative heat values. We also derive a general condition on the heat distribution that connects it to the Jarzynski equality.
PACS: 73.23.Hk – Coulomb blockade; single-electron tunneling / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2011