Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
arXiv:1011.4273 · doi:10.1103/PhysRevE.82.061120
Abstract
We extend the framework of forward and reverse processes commonly utilized in the derivation and analysis of the nonequilibrium work relations to thermodynamic processes with repeated discrete feedback. Within this framework, we derive a generalization of the detailed fluctuation theorem, which is modified by the addition of a term that quantifies the change in uncertainty about the microscopic state of the system upon making measurements of physical observables during feedback. As an application, we extend two nonequilibrium work relations: the nonequilibrium work fluctuation theorem and the relative-entropy work relation.
7 pages, 3 figures
References in corpus (10)
- Dissipation: The phase-space perspective
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Fluctuation theorems for stochastic dynamics
- Rare events and the convergence of exponentially averaged work values
- Integral fluctuation theorem for the housekeeping heat
- Thermodynamics of feedback controlled systems
- Entropy Production of Brownian Macromolecules with Inertia
- The "footprints'' of irreversibility
- Thermodynamics of adiabatic feedback control
- Symmetry Relations for Trajectories of a Brownian Motor