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Work fluctuation theorems for harmonic oscillators

Frederic Douarche·Sylvain Joubaud·Nicolas B. Garnier·Artem Petrosyan·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.

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Frederic Douarche, Sylvain Joubaud, Nicolas B. Garnier, Artem Petrosyan, Sergio Ciliberto. 2006-03-30. Work fluctuation theorems for harmonic oscillators. https://doi.org/10.1103/physrevlett.97.140603

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