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Dynamic boundaries in asymmetric exclusion processes.

Sarah A Nowak¹, Pak-Wing Fok, Tom Chou

¹Department of Biomathematics, UCLA, Los Angeles, California 90095-1766, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 13, 2007

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This study explores a particle system with a dynamic wall, identifying conditions for stable wall positions or uncontrolled drift. It reveals nonequilibrium phases and boundary dynamics.

Area of Science:

Statistical Mechanics
Condensed Matter Physics
Non-equilibrium Systems

Background:

Investigates a one-dimensional asymmetric exclusion process (AEP) with Langmuir kinetics.
Focuses on the complex dynamics introduced by a fluctuating wall at the system's boundary.

Purpose of the Study:

Determine parameter regimes for steady-state wall positions.
Analyze conditions leading to wall drift off-lattice or indefinite movement.
Characterize nonequilibrium phases and boundary layer behavior.

Main Methods:

Employs Monte Carlo simulations for dynamic analysis.
Utilizes a moving-frame finite segment approach.
Integrates mean-field theory for theoretical insights.

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Main Results:

Identifies distinct parameter regimes dictating wall behavior (steady-state, drift-off, indefinite drift).
Reveals the influence of wall kinetics on overall system dynamics.
Characterizes fluctuating boundary layers and particle density variations.

Conclusions:

The system exhibits complex nonequilibrium phases dependent on boundary conditions.
Fluctuating walls significantly impact particle transport and system stability.
Understanding these dynamics is crucial for modeling open, driven systems.