Generalized integral fluctuation relation with feedback control for diffusion processes
arXiv:1310.0345 · doi:10.1088/0253-6102/62/4/14
Abstract
We extend a generalized integral fluctuation relation in diffusion processes that we obtained previously to the situation with feedback control. The general relation not only covers existing results but also predicts other unnoticed fluctuation relations. In addition, we find that its explanation of time-reversal automatically emerges in the derivation. This interesting observation leads into an alternative inequality about the entropy-like quantity with an improved lower bound. Two feedback-controlled Brownian models are used to verify the result.
1 figure
References in corpus (15)
- Dissipation: The phase-space perspective
- State-dependent diffusion: thermodynamic consistency and its path integral formulation
- Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Comparison of far-from-equilibrium work relations
- Integral fluctuation theorem for the housekeeping heat
- Extracting work from a single heat bath through feedback
- Thermodynamics of feedback controlled systems
- Fluctuation Relations for Diffusion Processes
- Realization of a feedback controlled flashing ratchet
- Comparison of work fluctuation relations
- Nonequilibrium fluctuation theorem for systems under discrete and continuous feedback control
- Nonequilibrium steady state thermodynamics and fluctuations for stochastic systems
- Rocking feedback controlled ratchets
- Open Problems on Information and Feedback Controlled Systems