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Hidden entropy production by fast variables

Hyun-Myung Chun1 and Jae Dong Noh1,2

  • 1Department of Physics, University of Seoul, Seoul 130-743, Korea
  • 2School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea

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Phys. Rev. E 91, 052128 – Published 15 May, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.052128

Abstract

We investigate nonequilibrium underdamped Langevin dynamics of Brownian particles that interact through a harmonic potential with coupling constant K and are in thermal contact with two heat baths at different temperatures. The system is characterized by a net heat flow and an entropy production in the steady state. We compare the entropy production of the harmonic system with that of Brownian particles linked with a rigid rod. The harmonic system may be expected to reduce to the rigid rod system in the infinite K limit. However, we find that the harmonic system in the K→∞ limit produces more entropy than the rigid rod system. The harmonic system has the center-of-mass coordinate as a slow variable and the relative coordinate as a fast variable. By identifying the contributions of the degrees of freedom to the total entropy production, we show that the hidden entropy production by the fast variable is responsible for the extra entropy production. We discuss the K dependence of each contribution.

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Phys. Rev. E 91, 052128– Published 15 May, 2015
  • Received 25 February 2015

©2015 American Physical Society

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