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Long-range correlations and ensemble inequivalence in a generalized ABC model
1Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel.
Physical Review Letters
|January 15, 2011
Summary
A generalized ABC model with density-conserving or nonconserving dynamics exhibits detailed balance and two distinct phase diagrams for equal species densities. This advances understanding of long-range interacting systems and nonequilibrium steady states.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Theoretical Physics
Background:
- The ABC model is a one-dimensional driven system with local dynamics.
- Understanding nonequilibrium steady states in driven systems is crucial.
Purpose of the Study:
- To introduce a generalization of the ABC model with density-conserving and nonconserving dynamics.
- To investigate the phase diagrams and detailed balance properties of this generalized model.
Main Methods:
- Introduction of a generalized ABC model with two types of dynamics.
- Analysis of detailed balance with respect to a long-range interacting Hamiltonian.
- Determination of phase diagrams for canonical and grand canonical ensembles.
Main Results:
- Both density-conserving and nonconserving dynamics exhibit detailed balance for equal average densities.
- Two distinct phase diagrams emerge, corresponding to canonical and grand canonical ensembles.
- The findings align with expectations for systems with long-range interactions.
Conclusions:
- The generalized ABC model provides insights into the behavior of long-range interacting systems.
- The study clarifies the relationship between dynamics, ensembles, and phase diagrams in driven systems.
- Results have implications for understanding complex nonequilibrium phenomena.
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