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Arbitrary-time thermodynamic uncertainty relation from fluctuation theorem
1Department of Science and Technology, Seikei University, Tokyo 180-8633, Japan.
Physical Review. E
|September 19, 2023
Summary
The thermodynamic uncertainty relation (TUR) is extended to general nonequilibrium dynamics. This research unifies multidimensional TUR and reveals scaling relations for charge transfer fluctuations.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Thermodynamics
- Information Theory
Background:
- The thermodynamic uncertainty relation (TUR) offers a universal entropic bound for precision in stochastic processes.
- Extending TUR to general non-equilibrium dynamics remains a significant challenge in statistical physics.
Purpose of the Study:
- To derive the thermodynamic uncertainty relation for arbitrary finite times in non-equilibrium systems.
- To establish a unified condition for multidimensional TUR.
- To uncover practical consequences and scaling relations in short-time charge transfer.
Main Methods:
- Derivation of TUR from the exchange fluctuation theorem.
- Application of geometric necessary and sufficient conditions.
- Analysis of multidimensional TUR under general conditions.
Main Results:
- A generalized TUR is derived for arbitrary finite times.
- A unified necessary and sufficient condition for multidimensional TUR is established.
- Universal scaling relations between mean and variance of charge transfer are obtained in the short-time regime.
Conclusions:
- The study successfully extends TUR to general non-equilibrium dynamics.
- It provides a deeper understanding of the connection between fluctuation theorems and TUR.
- The findings offer practical insights into charge transfer fluctuations in complex systems.
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