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Thermodynamic skewness relation from detailed fluctuation theorem
1Unidade de Educação a Distância e Tecnologia, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil.
Physical Review. E
|November 18, 2022
Summary
The detailed fluctuation theorem (DFT) reveals a new lower bound for entropy production skewness. This finding extends our understanding of thermodynamics beyond equilibrium conditions.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Quantum Information
Background:
- The detailed fluctuation theorem (DFT) describes entropy production asymmetry.
- DFT consequences include the second law and thermodynamics uncertainty relation.
- Far from equilibrium, mean and variance are insufficient for entropy production characterization.
Purpose of the Study:
- To investigate the implications of the DFT on the skewness of entropy production.
- To establish a lower bound for skewness as a function of the mean.
- To apply this bound to a specific quantum thermodynamic system.
Main Methods:
- Theoretical derivation based on the detailed fluctuation theorem.
- Analysis of entropy production statistics, focusing on skewness.
- Application and verification of the derived bound in a model system.
Main Results:
- A tight, negative lower bound for the skewness of entropy production was proven.
- This bound is expressed as a function of the mean entropy production.
- The bound was successfully checked in a qubit-mediated heat exchange model.
Conclusions:
- The DFT imposes significant constraints on entropy production even far from equilibrium.
- The derived skewness bound offers a new tool for analyzing non-equilibrium systems.
- This work advances the understanding of quantum thermodynamics and fluctuation relations.
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