Related Experiment Video
Updated: May 13, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Power fluctuation theorem for a Brownian harmonic oscillator
J I Jiménez-Aquino1, R M Velasco
1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, 09340 México, D.F., Mexico. ines@xanum.uam.mx
Abstract:
In this paper we study the validity of the total power fluctuation theorem spent on a Brownian harmonic oscillator when the system is driven out of equilibrium through the drag of the potential minimum. The theorem is first proved for an ordinary harmonic oscillator in two cases: The first one considers the particle in a thermal bath under the action of Gaussian white noise, and in the second one the drift is provided by an additional external Gaussian colored noise satisfying the characteristics of an Ornstein-Uhlenbeck process. We go further, by considering a charged harmonic oscillator under the action of an electromagnetic field. The theorem is also proven as in the two cases given above. In both of those cases, we illustrate the theorem for a uniform motion of the trap potential minimum and show that in the presence of external colored noise, the theorem is only valid in the stationary state.
Related Concept Videos
Forced Oscillations
Oscillations about an Equilibrium Position
Energy in Simple Harmonic Motion
Damped Oscillations
Although friction and other non-conservative...
The Swing Equation
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque (Τe)...
Simple Harmonic Motion

