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Integral fluctuation theorems for stochastic resetting systems.

Arnab Pal1, Saar Rahav1

  • 1Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

Stochastic resetting systems satisfy two integral fluctuation theorems, even when microreversibility is violated. These findings extend fluctuation theorems to systems with resetting dynamics.

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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.