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Domain-wall theory and nonstationarity in driven flow with exclusion
R B Stinchcombe1, S L A de Queiroz2
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, England, United Kingdom.
Physical Review. E
|August 31, 2016
Summary
We investigated the totally asymmetric simple exclusion process (TASEP) dynamics. Domain-wall theory and simulations show fluctuations are key for uniform systems, while alternating-bond chains offer approximate agreement.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Nonequilibrium Systems
Background:
- The totally asymmetric simple exclusion process (TASEP) is a fundamental model for studying stochastic nonequilibrium phenomena.
- Understanding the dynamical evolution towards steady state in TASEP is crucial for various physical systems.
Purpose of the Study:
- To analyze the steady-state dynamics of the TASEP in one-dimensional systems with open boundaries.
- To compare domain-wall theory predictions with numerical simulations and existing mean-field theories.
Main Methods:
- Utilizing domain-wall theory to model the system's behavior.
- Employing numerical simulations to generate and analyze TASEP dynamics.
- Comparing theoretical predictions against simulation results and established mean-field theories.
Main Results:
- For uniform TASEP chains, domain-wall theory including fluctuations shows good agreement with simulations, outperforming mean-field predictions.
- In alternating-bond TASEP chains, domain-wall theory predictions for phase diagram features are only approximately realized.
- Significant quantitative agreement is observed between several domain-wall theory predictions and numerical simulation data.
Conclusions:
- Fluctuations are essential for accurately describing TASEP dynamics in uniform systems.
- Domain-wall theory provides a valuable, though sometimes approximate, framework for understanding TASEP, especially in nonuniform systems.
- The study highlights the strengths and limitations of domain-wall theory when compared to numerical simulations.
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