Work Fluctuation Theorems for Harmonic Oscillators

2006/03/30 by Frederic Douarche, F. Douarche, Sylvain Joubaud +6 · 8 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #cond-mat.stat-mech #thermodynamics and calorimetric analyses

paper · pdf · doi:10.1103/physrevlett.97.140603

published as Physical Review Letters 97 (2006) 140603

arxiv created 2006/03/30 · openalex publication_date 2006/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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. 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.

Citations

• Fluidized Granular Medium as an Instance of the Fluctuation Theorem
• Power and Heat Fluctuation Theorems for Electric Circuits
• Nonequilibrium fluctuations in a resistor
• Extension of the Fluctuation Theorem

Cited by

• Fluctuations of energy flux in a simple dissipative out-of-equilibrium system
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• Work fluctuations in a nematic liquid crystal
• Nonequilibrium Steady State Thermodynamics and Fluctuations for Stochastic Systems
• Fluctuation theorems for harmonic oscillators
• Probability density functions of work and heat near the stochastic resonance of a colloidal particle
• Parallel Warfare: A Strategy for the Future
• Statistics of Entropy Production in Linearized Stochastic Systems