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Stochastic exclusion processes with extended hopping.

Huang Dw1

  • 1Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
Summary

This study explores extended hopping in the one-dimensional asymmetric simple exclusion process (ASEP). Researchers observed unusual density fluctuations and distinct phases, noting the absence of a maximum current phase.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Systems
  • Condensed Matter Physics

Background:

  • The asymmetric simple exclusion process (ASEP) is a fundamental model for studying transport phenomena.
  • Understanding particle dynamics in one dimension is crucial for various physical systems.

Purpose of the Study:

  • To investigate the impact of extended hopping on the dynamics of the one-dimensional ASEP.
  • To analyze the resulting current, density profiles, and phase behavior of the modified ASEP model.

Main Methods:

  • Development of a modified four-parameter stochastic asymmetric simple exclusion process (ASEP).
  • Calculation of macroscopic quantities such as current and bulk density.
  • Observation and analysis of system phases and boundary effects.

Main Results:

  • Identification of two distinct phases characterized by a curved boundary.
  • Absence of the typical maximum current phase observed in standard ASEP models.
  • Detailed characterization of unusual density fluctuations occurring near the system boundaries.

Conclusions:

  • Extended hopping significantly alters the phase diagram and transport properties of the one-dimensional ASEP.
  • The modified ASEP model exhibits unique behaviors, including altered density fluctuations and phase structures.
  • The study highlights the importance of hopping range in determining stochastic dynamics.

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