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Distribution of current in nonequilibrium diffusive systems and phase transitions
1Laboratoire de Probabilités et Modèles Aléatoires, CNRS-UMR 7599, Universités Paris VI & VII, 4 place Jussieu, Case 188, F-75252 Paris, Cedex 05, France.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
Summary
We analyzed diffusive lattice gases on a ring, finding a phase transition based on current deviation. This transition shifts density profiles from constant to time-dependent, confirmed by numerical data.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Non-equilibrium Systems
Background:
- Diffusive lattice gases are fundamental models in statistical mechanics.
- Understanding density profile stability is crucial for non-equilibrium systems.
- Phase transitions in driven systems reveal complex emergent behaviors.
Purpose of the Study:
- To investigate the stability of density profiles in diffusive lattice gases on a ring.
- To identify and characterize phase transitions driven by current deviations.
- To elucidate the physical mechanisms behind time-dependent density profiles.
Main Methods:
- Analysis of diffusive lattice gases on a circular lattice.
- Conditional stability analysis of density profiles based on current deviations.
- Numerical simulations to confirm theoretical predictions.
Main Results:
- A phase transition is observed, dependent on the system's current.
- Density profiles transition from a stable, constant state to a time-dependent state.
- The time-dependent profile persists in the large drift limit, explaining prior results.
Conclusions:
- The study reveals a current-driven phase transition in lattice gases.
- Time-dependent density profiles emerge and are stable under specific conditions.
- This work provides a physical basis for understanding related models like the totally asymmetric exclusion process.