Fluctuation theorems for autonomous work
Christopher Jarzynski1,2,3, Sebastian Deffner4,5,6, Saar Rahav7
1Department of Chemistry and Biochemistry, University of Maryland, College Park, MD 20742.
Summary
This study introduces autonomous fluctuation theorems for work and entropy production. These theorems apply to systems interacting with a reversible work source, accounting for mutual backaction, unlike previous nonautonomous models.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Quantum Physics
Background:
- Classical fluctuation theorems for work are well-established in nonautonomous systems where external parameters drive changes.
- These theorems describe the statistical properties of work done on a system via external manipulation.
Purpose of the Study:
- To derive fluctuation theorems for work and entropy production within an autonomous framework.
- To account for the backaction of a work source on the system, a factor absent in nonautonomous settings.
Main Methods:
- Developed autonomous fluctuation theorems by considering a system interacting with a reversible work source.
- Analyzed scenarios involving Hamiltonian or stochastic dynamics for the coupled subsystems.
- Investigated the limiting behavior of autonomous theorems as the work source's inertia becomes large.
Main Results:
- Derived autonomous fluctuation theorems for work and entropy production.
- Demonstrated that these autonomous theorems reduce to their nonautonomous counterparts under specific conditions (infinite inertia of the work source).
- Showcased the importance of including subsystem backaction in autonomous thermodynamic descriptions.
Conclusions:
- Autonomous fluctuation theorems provide a more general framework for understanding thermodynamics in interacting systems.
- The findings extend the applicability of fluctuation theorems to scenarios without direct external control.
- This work bridges the gap between autonomous and nonautonomous descriptions in statistical thermodynamics.
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