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Statistics of the dissipated energy in driven single-electron transitions

2011/05/02 by D. V. Averin, Dmitri V. Averin, J. P. Pekola +1 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Computer science #Dissipation #Distribution (mathematics) #Electron #Fluctuation theorem #Gaussian #Limit (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Non-equilibrium thermodynamics #Physics #Probability distribution #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena #Quantum mechanics #Specific heat #Statistical physics #Statistics #Thermodynamics #Work (physics) #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/96/67004

5 pages, 2 figures

arxiv created 2011/05/02 · openalex publication_date 2011/12/01 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 generalizes the Bochkov-Kuzovlev equality and connects it to the Jarzynski equality.

Citations

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