Work fluctuation theorems for harmonic oscillators

Authors:
  • FDFrederic Douarche
    Frederic Douarche
  • SJSylvain Joubaud
    Sylvain Joubaud
  • NGNicolas B. Garnier
    Nicolas B. Garnier
  • APArtem Petrosyan
    Artem Petrosyan
  • SCSergio Ciliberto
    Sergio Ciliberto
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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.