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Partially asymmetric exclusion processes with sitewise disorder
Róbert Juhász1, Ludger Santen, Ferenc Iglói
1Fachrichtung Theoretische Physik, Universität des Saarlandes, D-66041 Saarbrücken, Germany. juhasz@lusi.uni-sb.de
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
Summary
The study reveals that the largest energy barrier dictates particle flow in a 1D exclusion process. Stationary states exhibit phase separation, with particle and hole clusters forming at barriers.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Complex Systems
Background:
- The one-dimensional partially asymmetric exclusion process is a fundamental model for studying particle transport.
- Understanding how random hop rates and energy landscapes influence system dynamics is crucial.
Purpose of the Study:
- To investigate the stationary properties and nonstationary dynamics of a 1D partially asymmetric exclusion process with position-dependent hop rates.
- To analyze the impact of an energy landscape on particle current and phase separation.
Main Methods:
- Analysis of stationary properties and nonstationary dynamics.
- Relating hop rates to an energy landscape.
- Investigating finite systems of L sites.
Main Results:
- Stationary current (J) is determined by the largest energy barrier and vanishes as J ~ L{-z}.
- Stationary states are typically phase-separated, with particle and hole clusters forming.
- Nonstationary processes like coarsening and invasion were also studied.
Conclusions:
- The largest energy barrier plays a critical role in determining transport properties.
- Phase separation is a characteristic feature of stationary states in this model.
- The model provides insights into systems with complex particle interactions and transport.
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