Fluctuation theorems for a molecular refrigerator

Kyung Hyuk Kim and Hong Qian

Phys. Rev. E 75, 022102 – Published 12 February 2007

Abstract

We extend fluctuation theorems to a molecular refrigeration system that consists of Brownian particles in a heat bath under feedback control of their velocities. Such control can actively remove heat from the bath due to an entropy-pumping mechanism [Phys. Rev. Lett. 93, 120602 (2004)]. The presence of entropy pumping in an underdamped Brownian system modifies both the Jarzynski equality and the fluctuation theorems. We discover that the entropy pumping has a dual role of work and heat.

Received 12 January 2006

DOI:https://doi.org/10.1103/PhysRevE.75.022102

Authors & Affiliations

Kyung Hyuk Kim^*

Department of Physics, University of Washington, Seattle, Washington 98195, USA

Hong Qian^†

Department of Applied Mathematics, University of Washington, Seattle, Washington 98195, USA

^*Electronic address: kkim@u.washington.edu
^†Electronic address: qian@amath.washington.edu

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Vol. 75, Iss. 2 — February 2007

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics