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Asymmetric exclusion processes with disorder: effect of correlations
M Ebrahim Foulaadvand1, Anatoly B Kolomeisky, H Teymouri
1Department of Physics, Zanjan University, P.O. Box 45196-313, Zanjan, Iran.
Summary
This study explores disordered one-dimensional asymmetric exclusion processes. Correlations significantly impact particle dynamics, shifting from defect bonds to the region between them as defects approach.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Non-equilibrium Systems
Background:
- Disorder introduces complexity in multiparticle dynamics.
- One-dimensional asymmetric exclusion processes (AEPs) are fundamental models for transport phenomena.
Purpose of the Study:
- Investigate the impact of disorder, specifically defect bonds, on AEPs.
- Characterize the nonequilibrium phase diagram and particle dynamics in disordered AEPs.
- Develop and validate theoretical methods for describing these systems.
Main Methods:
- Computational and analytical theoretical approaches.
- Development of a numerical iterative procedure.
- Extensive Monte Carlo computer simulations for validation.
Main Results:
- Identified three nonequilibrium phases determined by entrance, exit, and defect bond dynamics.
- Correlations play a crucial role, shifting location based on defect bond separation.
- Theoretical predictions show good agreement with simulation results.
Conclusions:
- Disordered AEPs exhibit complex phase diagrams and dynamics.
- Understanding and incorporating correlations is key to accurate theoretical descriptions.
- The developed methods provide a framework for analyzing similar disordered systems.
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