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

TL;DR

This study investigates the probability density functions of work and heat in a colloidal particle system near stochastic resonance, combining experimental measurements with theoretical Langevin dynamics to validate fluctuation theorem predictions.

Contribution

It provides a detailed experimental and theoretical analysis of energy fluctuations near stochastic resonance in colloidal particles, confirming the fluctuation theorem for work distribution.

Findings

Probability density functions match theoretical Langevin predictions.

Work distribution satisfies the fluctuation theorem.

Maximum injected power occurs near stochastic resonance.

Abstract

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.