Role of Hidden Slow Degrees of Freedom in the Fluctuation Theorem

J. Mehl, B. Lander, C. Bechinger, V. Blickle, and U. Seifert
Phys. Rev. Lett. 108, 220601 – Published 1 June 2012

Abstract

The validity of the fluctuation theorem for entropy production as deduced from the observation of trajectories implicitly requires that all slow degrees of freedom are accessible. We experimentally investigate the role of hidden slow degrees of freedom in a system of two magnetically coupled driven colloidal particles. The apparent entropy production based on the observation of just one particle obeys a fluctuation theorem–like symmetry with a slope of 1 in the short time limit. For longer times, we find a constant slope, but different from 1. We present theoretical arguments for a generic linear behavior both for small and large apparent entropy production but not necessarily throughout. By fine-tuning experimental parameters, such an intermediate nonlinear behavior can indeed be recovered in our system as well.

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  • Received 16 February 2012

DOI:https://doi.org/10.1103/PhysRevLett.108.220601

© 2012 American Physical Society

Authors & Affiliations

J. Mehl1, B. Lander2, C. Bechinger1,3, V. Blickle1,3, and U. Seifert2

  • 12. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
  • 2II. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany
  • 3Max-Planck-Institute for Intelligent Systems, Heisenbergstrasse 3, 70569 Stuttgart, Germany

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Issue

Vol. 108, Iss. 22 — 1 June 2012

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