Non-equilibrium work fluctuations for oscillators in non-Markovian baths

Abstract

We study work fluctuation theorems for oscillators in non-Markovian heat baths. By calculating the work distribution function for a harmonic oscillator with motion described by the generalized Langevin equation, the Jarzynski equality (JE), transient fluctuation theorem (TFT), and Crooks' theorem (CT) are shown to be exact. In addition to this derivation, numerical simulations of anharmonic oscillators indicate that the validity of these nonequilibrium theorems do not depend on the memory of the bath. We find that the JE and the CT are valid under many oscillator potentials and driving forces whereas the TFT fails when the driving force is asymmetric in time and the potential is asymmetric in position.

7 pages, 3 figures

References in corpus (4)

• Nonequilibrium fluctuations in a resistor
• Work fluctuation theorems for harmonic oscillators
• A fluidized granular medium as an instance of the Fluctuation Theorem
• Fluctuation symmetries for work and heat

Cited by in corpus (7)

• Fluctuation theorems for stochastic dynamics
• Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
• Work and dissipation fluctuations near the stochastic resonance of a colloidal particle
• Current fluctuations in stochastic systems with long-range memory
• Fluctuation relations for anomalous dynamics
• Quantum Smoluchowski equation for driven systems
• Asymmetry of the work probability distribution