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Mean-field analysis for parallel asymmetric exclusion process with anticipation effect.
Qing-Yi Hao1, Rui Jiang, Mao-Bin Hu
1University of Science and Technology of China, Hefei, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
This study introduces an extended parallel asymmetric exclusion process with anticipation effects. Cluster mean field analysis shows excellent agreement with simulations, suggesting its potential for exact expressions in complex systems.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Systems
- Mathematical Physics
Background:
- The asymmetric exclusion process is a fundamental model in non-equilibrium statistical mechanics.
- Previous mean-field analyses often relied on simpler cluster probability relationships.
- Incorporating anticipation effects presents a challenge for analytical models.
Purpose of the Study:
- To investigate an extended parallel asymmetric exclusion process including anticipation effects.
- To analyze the fundamental diagram of this model using cluster mean field analysis.
- To compare the analytical results with simulation data.
Main Methods:
- Developed an extended parallel asymmetric exclusion process model.
- Applied a novel asymmetric cluster mean field analysis.
- Performed Monte Carlo simulations to validate the analytical approach.
Main Results:
- The fundamental diagram was successfully investigated using the developed mean field analysis.
- A key finding is the asymmetric relationship between cluster probabilities.
- Excellent agreement was observed between Monte Carlo simulations and the cluster mean field analysis.
Conclusions:
- The cluster mean field analysis, despite its asymmetry, provides a highly accurate description of the model.
- The findings suggest that this analytical method may yield exact expressions for such systems.
- This work advances the understanding of non-equilibrium systems with anticipation effects.
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