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Integral fluctuation theorems for stochastic resetting systems.
1Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Physical Review. E
|January 20, 2018
Summary
Stochastic resetting systems satisfy two integral fluctuation theorems, even when microreversibility is violated. These findings extend fluctuation theorems to systems with resetting dynamics.
Area of Science:
- Statistical physics
- Non-equilibrium thermodynamics
- Stochastic processes
Background:
- Stochastic thermodynamics studies energy fluctuations in small systems.
- Fluctuation theorems are key results in non-equilibrium statistical mechanics.
- Stochastic resetting introduces a unique dynamic to systems, potentially altering established thermodynamic laws.
Purpose of the Study:
- To investigate the validity of fluctuation theorems in systems with stochastic resetting.
- To explore how microreversibility violation impacts these theorems.
- To derive and analyze new integral fluctuation theorems for resetting systems.
Main Methods:
- Analysis of stochastic processes with resetting.
- Derivation of generalized fluctuation theorems.
- Application of Jensen's inequality to thermodynamic functionals.
Main Results:
- Stochastic resetting systems satisfy two integral fluctuation theorems despite violating microreversibility.
- The Hatano-Sasa relation is shown to hold for transitions between steady states in resetting systems.
- A novel integral fluctuation theorem, incorporating dynamical and thermodynamic contributions, is established.
Conclusions:
- Established fluctuation theorems can be extended to systems with stochastic resetting.
- The derived theorems provide new insights into the thermodynamics of non-equilibrium systems.
- The study reconciles previous findings on second law-like inequalities in resetting systems with broader fluctuation theorem frameworks.
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