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Related Experiment Videos

Fluctuation-dominated phase ordering driven by stochastically evolving surfaces: depth models and sliding particles.

D Das1, M Barma, S N Majumdar

  • 1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
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This study reveals unconventional phase ordering in fluctuating surfaces, leading to large-scale particle clustering and deviations from standard models. Systems exhibit unique ordered states with significant fluctuations, differing from conventional phase ordering. Keywords: phase ordering, fluctuating surfaces, particle clustering.

Area of Science:

  • Statistical Physics
  • Condensed Matter Physics
  • Surface Science

Background:

  • Investigating phase ordering phenomena in complex systems is crucial for understanding emergent behaviors.
  • Fluctuating surfaces and particle dynamics present challenges due to their inherent randomness and scale-dependent properties.
  • Conventional models often fail to capture the nuances of systems with large-scale fluctuations.

Purpose of the Study:

  • To explore unconventional phase ordering in coarse-grained models of fluctuating surfaces.
  • To analyze the behavior of hard-core particles sliding on these surfaces under gravity.
  • To characterize the deviations from conventional phase ordering and Porod law in specific universality classes.

Main Methods:

  • Coarse-grained depth models for Edwards-Wilkinson (EW), Kardar-Parisi-Zhang (KPZ), and noisy surface-diffusion (NSD) universality classes.

Related Experiment Videos

  • Numerical and exact analytical techniques to study coarsening processes and steady states.
  • Analysis of particle cluster size distributions, spatial correlation functions, and density-density correlations.
  • Main Results:

    • Systems exhibit ordering with large-scale fluctuations, deviating from conventional states.
    • For EW and KPZ surfaces, order parameter distributions are broad, and correlation functions show cusps (alpha=1/2), differing from Porod law.
    • Surface fluctuations induce large-scale particle clustering, with coarsening length scaling as t^(1/z).

    Conclusions:

    • Fluctuating surfaces exhibit unique phase ordering characterized by broad distributions and cusped correlation functions.
    • Particle dynamics on these surfaces lead to significant clustering driven by surface fluctuations.
    • The findings challenge conventional coarsening theories and highlight the importance of scale-dependent phenomena in statistical physics.