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Fluctuation relations for a driven Brownian particle

2006/03/31 by Alberto Imparato, A. Imparato, Luca Peliti +1 · 4 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #cond-mat.other #cond-mat.stat-mech #thermodynamics and calorimetric analyses

paper · pdf · doi:10.1103/physreve.74.026106

published as PHYS. REV. E 74, 026106 (2006).

arxiv created 2006/06/01 · openalex publication_date 2006/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a driven Brownian particle, subject to both conservative and nonconservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the probability of a given Brownian path in phase space with that of the time-reversed path, in terms of the entropy flux to the heat reservoir. This fluctuation relation implies those of Seifert, Jarzynski, and Gallavotti-Cohen in different special cases.

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