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Related Experiment Videos

Disorder and nonconservation in a driven diffusive system.

M R Evans1, T Hanney, Y Kafri

  • 1School of Physics, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, Scotland, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
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This study analyzes a disordered asymmetric exclusion process, revealing Griffiths singularities in nonequilibrium steady states. Disorder induces a stretched exponential decay in system density, impacting molecular motor models.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Biophysics

Background:

  • Interacting molecular motors, like RNA polymerases, exhibit complex behaviors.
  • Disordered systems can display unique phenomena not present in their pure counterparts.
  • Nonequilibrium steady states are crucial for understanding open systems far from equilibrium.

Purpose of the Study:

  • To investigate a disordered asymmetric exclusion process with non-conserving sites.
  • To analyze the system's steady state in limiting cases of nonconserving rates.
  • To explore the emergence of Griffiths singularities and density decay in this model.

Main Methods:

  • Exact solution of the steady state in infinite and vanishing nonconserving rate limits.
  • Approximation using large but finite nonconserving rates.

Related Experiment Videos

  • Analysis of Griffiths singularities in a nonequilibrium steady state.
  • Characterization of system density decay.

    • Main Results:

    • Exact steady-state solutions obtained for limiting rates.
    • Griffiths singularities identified in the nonequilibrium steady state.
    • Absence of a phase transition in the pure model contrasted with the disordered case.
    • Stretched exponential decay of system density observed with exponent phi=2/5.

    Conclusions:

    • Disorder can induce novel phenomena like Griffiths singularities in driven systems.
    • The model provides insights into the behavior of interacting molecular motors.
    • The stretched exponential decay highlights the impact of disorder on system density.