English

Work fluctuation theorems for harmonic oscillators

Statistical Mechanics 2007-05-23 v2

Abstract

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is modeled by a second order Langevin equation. Both the transient and stationary state fluctuation theorems hold and the finite time corrections are very different from those of a first order Langevin equation. The periodic forcing of the oscillator is also studied; it presents new and unexpected short time convergences. Analytical expressions are given in all cases.

Keywords

Cite

@article{arxiv.cond-mat/0603349,
  title  = {Work fluctuation theorems for harmonic oscillators},
  author = {Frederic Douarche and Sylvain Joubaud and Nicolas B. Garnier and Artem Petrosyan and Sergio Ciliberto},
  journal= {arXiv preprint arXiv:cond-mat/0603349},
  year   = {2007}
}