Steady state fluctuation relations for systems driven by an external random force

Juan Ruben Gomez-Solano 1 Ludovic Bellon 1 Artyom Petrosyan 1 Sergio Ciliberto 1
1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
Abstract : We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever. We determine the corresponding probability density functions for different random forcing amplitudes ranging from a small fraction to several times the amplitude of the thermal noise. In both systems for sufficiently weak forcing amplitudes the work fluctuations satisfy the usual steady state fluctuation theorem. As the forcing amplitude drives the system far from equilibrium, deviations of the fluctuation theorem increase monotonically. The deviations can be recasted to a single master curve which only depends on the kind of stochastic external force.
Keywords : random processes Fluctuation relations Brownian motion random processes.
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Juan Ruben Gomez-Solano, Ludovic Bellon, Artyom Petrosyan, Sergio Ciliberto. Steady state fluctuation relations for systems driven by an external random force. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2010, 89 (6), pp.60003. ⟨10.1209/0295-5075/89/60003⟩. ⟨ensl-00438666⟩

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