Nonequilibrium work fluctuations for oscillators in non-Markovian baths

Mai, Trieu ; Dhar, Abhishek (2007) Nonequilibrium work fluctuations for oscillators in non-Markovian baths Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 75 (6). 061101_1-061101_7. ISSN 1539-3755

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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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:79687
Deposited On:28 Jan 2012 12:10
Last Modified:18 May 2016 21:58

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