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Phase coexistence in driven one-dimensional transport.

A Parmeggiani1, T Franosch, E Frey

  • 1Hahn-Meitner Institut, Abteilung Theorie, Glienicker Strasse 100, D-14109 Berlin, Germany.

Physical Review Letters
|March 14, 2003
PubMed
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This study explores particle dynamics in a one-dimensional system, revealing unexpected phase coexistence in large systems. These findings shed light on nonconserved dynamics and their unique stationary states.

Area of Science:

  • Statistical Mechanics
  • Complex Systems Dynamics

Background:

  • The one-dimensional totally asymmetric exclusion process (TASEP) is a fundamental model in statistical mechanics.
  • Understanding particle dynamics with random attachments and detachments is crucial for modeling various physical and biological systems.

Purpose of the Study:

  • To investigate the stationary regimes of a TASEP with random particle influx and outflux.
  • To analyze the emergence of phase coexistence in large, finite systems.
  • To predict the phase diagram for this nonconserved dynamics in the thermodynamic limit.

Main Methods:

  • Monte Carlo simulations were employed to generate numerical data.
  • A mean-field approach was utilized to interpret simulation results.
  • Analysis focused on identifying and characterizing different density regions and domain walls.

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Main Results:

  • Unexpected stationary regimes were observed in large, finite systems.
  • These regimes exhibit phase coexistence, with distinct low and high-density regions.
  • Domain walls were identified as the separators between these coexisting phases.

Conclusions:

  • The studied nonconserved dynamics lead to novel stationary states not typically seen in conserved systems.
  • The mean-field approach provides a valid interpretation of the complex dynamics observed.
  • A phase diagram for the thermodynamic limit is predicted based on the findings.