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Related Experiment Videos

Anomalous nucleation far from equilibrium.

I T Georgiev1, B Schmittmann, R K P Zia

  • 1Center for Stochastic Processes in Science and Engineering and Department of Physics, Virginia Tech, Blacksburg, VA 24061-0435, USA.

Physical Review Letters
|May 21, 2005
PubMed
Summary
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We studied an asymmetric exclusion process with two particle types moving in opposite directions. Our findings reveal a complex nucleation process, where cluster formation and stability depend on system size, leading to exponential size distributions.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Asymmetric exclusion processes are fundamental models in statistical mechanics.
  • Previous studies showed discrepancies between simulation data and analytic conjectures for a 2xL lattice model.

Purpose of the Study:

  • To resolve discrepancies in earlier simulation data and analytic conjectures.
  • To investigate the nucleation process in an asymmetric exclusion process on a 2xL lattice.

Main Methods:

  • Precision Monte Carlo simulations.
  • Analytic arguments and theoretical modeling.

Main Results:

  • Identified a single macroscopic cluster as an intermediate stage in nucleation.

Related Experiment Videos

  • Demonstrated that cluster stability is size-dependent: destabilized in smaller systems, multiple clusters form in larger systems.
  • Observed exponential cluster size distributions in both limiting cases.

    • Conclusions:

    • The nucleation process is complex and size-dependent.
    • The observed cluster dynamics explain the discrepancy between prior simulation and analytic results.
    • The study provides a unified understanding of cluster formation in this driven lattice gas model.