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Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
1II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.
Physical Review Letters
|December 3, 2022
Summary
The thermodynamic uncertainty relation (TUR) is analyzed for complex driven particle systems. Researchers derived an expression for entropy production using particle currents, demonstrating practical applications.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Thermodynamics
- Complex Systems
Background:
- The thermodynamic uncertainty relation (TUR) is established for simple systems.
- Its behavior in complex, many-degree-of-freedom systems remains largely unexplored.
Purpose of the Study:
- To investigate the thermodynamic uncertainty relation (TUR) in the thermodynamic limit for mixtures of driven particles.
- To develop a method for estimating total entropy production in complex systems.
Main Methods:
- Analysis of the TUR in the thermodynamic limit.
- Derivation of an explicit expression for entropy production estimation.
- Application to driven lattice gas models.
Main Results:
- An explicit formula for optimal entropy production estimation was derived.
- The formula utilizes single-particle currents and correlations between two-particle currents.
- Quantitative results were obtained for driven lattice gas models.
Conclusions:
- The study provides a practical framework for analyzing the TUR in complex driven particle systems.
- The derived expression facilitates the estimation of entropy production in such systems.
- Demonstrated the feasibility of the approach through driven lattice gas examples.
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