Statistics of heat transfer in mesoscopic circuits

2003/12/17 by Markus Kindermann, M. Kindermann, S. Pilgram · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Advancements in Semiconductor Devices and Circuit Design #Charge (physics) #Conductor #Cumulant #Dissipation #Electronic circuit #Mathematics #Mesoscopic physics #Path integral formulation #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Statistics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.69.155334

9 pages, 6 figures

arxiv created 2003/12/17 · openalex publication_date 2004/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat dissipation from a biased mesoscopic conductor into the adjacent reservoirs. We then consider energy dissipation in an electrical circuit around a mesoscopic conductor. We derive the conditions under which measurements of the fluctuations of heat dissipation can be used to investigate higher-order cumulants of the charge counting statistics of a mesoscopic conductor.

Citations

• Electron counting statistics and coherent states of electric current
• Quantum theory of electromechanical noise and momentum transfer statistics
• Full Current Statistics in Diffusive Normal-Superconductor Structures
• Scattering approach to counting statistics in quantum pumps
• Shot Noise in Mesoscopic Conductors
• Phase Dependent Thermopower in Andreev Interferometers
• Temperature-Dependent Third Cumulant of Tunneling Noise

Cited by

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• Entropy Production in Quantum is Different
• Exact correspondence between Renyi entropy flows and physical flows