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

2008/09/29 by Alberto Imparato, Pierre Jop, Artyom Petrosyan +2
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation #thermodynamics and calorimetric analyses

paper · pdf · doi:10.1088/1742-5468/2008/10/p10017

published as J. Stat. Mech. (2008) P10017

arxiv created 2008/09/29 · openalex publication_date 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Citations

• Work Fluctuation Theorems for Harmonic Oscillators
• Integral fluctuation theorem for the housekeeping heat
• Power and Heat Fluctuation Theorems for Electric Circuits
• Nonequilibrium fluctuations in a resistor
• Onsager-Machlup Theory for Nonequilibrium Steady States and Fluctuation Theorems
• Thermodynamics of a Colloidal Particle in a Time-Dependent Nonharmonic Potential
• Extension of the Fluctuation Theorem