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Inference of entropy production for periodically driven systems
Pedro E Harunari1, Carlos E Fiore2, Andre C Barato3
1University of Luxembourg, Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, L-1511 Luxembourg City, Luxembourg.
Physical Review. E
|February 7, 2025
Summary
Estimating entropy production in periodically driven systems is crucial. This study develops a new method using transition statistics and waiting times, independent of initial conditions, for accurate entropy production estimation.
Area of Science:
- Stochastic thermodynamics
- Non-equilibrium systems
Background:
- Estimating entropy production is vital for understanding non-equilibrium systems.
- Existing methods often focus on steady states with fixed forces.
- Periodically driven systems present unique challenges for entropy estimation.
Purpose of the Study:
- To develop a method for estimating entropy production in periodically driven systems.
- To provide an estimate independent of initial conditions and protocol tracking.
- To analyze the method's performance using a molecular pump model.
Main Methods:
- Utilizing statistics of visible transitions and waiting times.
- Adapting a method from non-equilibrium steady states to time-dependent systems.
- Analyzing a molecular pump model with varying energies and barriers.
Main Results:
- An entropy production estimate dependent on inter-transition times but not the first transition time.
- An inequality relating the rate of entropy production and its estimate, including an extra term.
- Net motion (probability current) is necessary for a relevant entropy production estimate.
Conclusions:
- The proposed method offers a practical approach to entropy production estimation in complex, time-dependent systems.
- The findings highlight the importance of system dynamics and probability currents in thermodynamic assessments.
- This work advances the experimental and theoretical understanding of entropy in non-equilibrium thermodynamics.
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