Heat leakage in overdamped harmonic systems

Dominic Arold, Andreas Dechant, and Eric Lutz
Phys. Rev. E 97, 022131 – Published 20 February 2018

Abstract

We investigate the occurrence of heat leakages in overdamped nonequilibrium Brownian harmonic systems. We exactly compute the underdamped and overdamped stochastic heats exchanged with the bath for a sudden frequency or temperature switch. We show that the underdamped heat reduces to the corresponding overdamped expression in the limit of large friction for the isothermal process. However, we establish that this is not the case for the isochoric transformation. We microscopically derive the additionally generated heat leakage and relate its origin to the initial relaxation of the velocity of the system. Our results highlight the limitations of the overdamped approximation for the evaluation of the stochastic heat in systems with changing bath temperature.

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  • Received 31 July 2017
  • Revised 1 December 2017

DOI:https://doi.org/10.1103/PhysRevE.97.022131

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Statistical Physics & Thermodynamics

Authors & Affiliations

Dominic Arold1, Andreas Dechant2, and Eric Lutz1

  • 1Department of Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany
  • 2Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 97, Iss. 2 — February 2018

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