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Current fluctuations in stochastic lattice gases.
L Bertini1, A De Sole, D Gabrielli
1Dipartimento di Matematica, Università di Roma La Sapienza, Piazza A. Moro 2, 00185 Roma, Italy.
Physical Review Letters
|February 9, 2005
Summary
We developed a large deviation theory for current fluctuations in lattice gases. This approach refines previous findings and reveals how dynamical phase transitions can affect probability estimations.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
- Complex Systems
Background:
- Previous work established dynamic approaches for density fluctuations in lattice gases.
- Understanding current fluctuations is crucial for macroscopic systems.
Purpose of the Study:
- To establish a large deviation theory for space-time current fluctuations in lattice gases.
- To extend and refine existing dynamic approaches for density fluctuations.
- To estimate the probability of average current fluctuations over extended time intervals.
Main Methods:
- Macroscopic limit analysis of lattice gases.
- Development of a large deviation theory for empirical current fluctuations.
- Estimation of fluctuation probabilities for average currents.
Main Results:
- A comprehensive large deviation theory for space-time current fluctuations was established.
- The theory incorporates and extends previous results on density fluctuations.
- Underestimation of fluctuation probabilities was identified in specific cases, linked to dynamical phase transitions.
Conclusions:
- The developed large deviation theory provides a more accurate framework for studying current fluctuations.
- Dynamical phase transitions play a significant role in the probability of current fluctuations.
- This work refines the understanding of non-equilibrium statistical mechanics in lattice systems.