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Energy landscapes in random systems, driven interfaces, and wetting

Seppala1, Alava

  • 1Helsinki University of Technology, Laboratory of Physics, P.O. Box 1100, FIN-02015 HUT, Finland.

Physical Review Letters
|October 6, 2000
PubMed
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This study reveals that quenched randomness causes elastic manifold susceptibility to diverge with system size. This divergence is linked to low-lying energy states, suggesting discrete transitions in random systems.

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Elastic manifolds are theoretical models used to study the behavior of interfaces in disordered materials.
  • Quenched randomness introduces persistent defects or impurities that significantly influence material properties.
  • Understanding the zero-temperature susceptibility is crucial for characterizing the response of these systems to external fields.

Purpose of the Study:

  • To investigate the zero-temperature susceptibility of elastic manifolds subjected to quenched disorder.
  • To determine the scaling behavior of the 'jump field' associated with transitions in these random systems.
  • To elucidate the nature of wetting phenomena in disordered elastic systems.

Main Methods:

  • Numerical simulations were employed to study the system's behavior.

Related Experiment Videos

  • Probabilistic arguments were used to analyze the distribution of energy gaps.
  • Comparison between numerical data and theoretical predictions was performed.

    • Main Results:

    • Zero-temperature susceptibility diverges with increasing system size due to the presence of low-lying local minima.
    • The distribution of energy gaps was found to be constant in the limit of vanishing gaps.
    • The 'jump field' exhibits scaling behavior, approximately L-5/3 for (1+1) dimensions and L-2.2 for (2+1) dimensions, with random bond disorder.

    Conclusions:

    • The divergence in susceptibility is attributed to a level-crossing phenomenon in the manifold's response.
    • Wetting in random systems initiates as a discrete transition, characterized by the calculated 'jump field'.
    • The findings provide insights into the fundamental behavior of disordered elastic systems and their phase transitions.