Probability density functions of work and heat near the stochastic resonance of a colloidal particle

Alberto Imparato (1) , Pierre Jop (2) , Artyom Petrosyan (2) , Sergio Ciliberto (2)

1 Department of Physics and Astronomy [Aarhus]
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

We study experimentally and theoretically the probability density functions of the injected and dissipated energy in a system of a colloidal particle trapped in a double well potential periodically modulated by an external perturbation. The work done by the external force and the dissipated energy are measured close to the stochastic resonance where the injected power is maximum. We show a good agreement between the probability density functions exactly computed from a Langevin dynamics and the measured ones. The probability density function of the work done on the particle satisfies the fluctuation theorem.

Keywords: stochastic particle dynamics (theory); stochastic particle dynamics (experiment); Brownian motion; fluctuations (theory)

Domains: Physics [physics]; Condensed Matter [cond-mat]; Statistical Mechanics [cond-mat.stat-mech]; Physics [physics]; Condensed Matter [cond-mat]; Soft Condensed Matter [cond-mat.soft]

Alberto Imparato, Pierre Jop, Artyom Petrosyan, Sergio Ciliberto. Probability density functions of work and heat near the stochastic resonance of a colloidal particle. Journal of Statistical Mechanics: Theory and Experiment, 2008, 8 (10), pp.P10017. ⟨10.1088/1742-5468/2008/10/P10017⟩. ⟨ensl-00332642⟩