Nonequilibrium work fluctuations for oscillators in non-Markovian baths

Trieu Mai and Abhishek Dhar
Phys. Rev. E 75, 061101 – Published 1 June 2007

Abstract

We study work fluctuation theorems for oscillators in non-Markovian heat baths. By calculating the work distribution function for a harmonic oscillator with motion described by the generalized Langevin equation, the Jarzynski equality (JE), transient fluctuation theorem (TFT), and Crooks’ theorem (CT) are shown to be exact. In addition to this derivation, numerical simulations of anharmonic oscillators indicate that the validity of these nonequilibrium theorems does not depend on the memory of the bath. We find that the JE and the CT are valid under many oscillator potentials and driving forces, whereas the TFT is not applicable when the driving force is asymmetric in time and the potential is asymmetric in position.

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  • Received 1 December 2006

DOI:https://doi.org/10.1103/PhysRevE.75.061101

©2007 American Physical Society

Authors & Affiliations

Trieu Mai1 and Abhishek Dhar2

  • 1Department of Physics, University of California, Santa Cruz, California 95064, USA
  • 2Raman Research Institute, Bangalore 560080, India

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Issue

Vol. 75, Iss. 6 — June 2007

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