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Universality of Critically Pinned Interfaces in Two-Dimensional Isotropic Random Media.

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This summary is machine-generated.

Critically pinned interfaces in 2D random media universally belong to ordinary percolation, unifying fractal and rough interfaces. This finding applies to various models, excluding those with long-range correlations or forbidden overhangs.

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Area of Science:

  • Statistical Physics
  • Complex Systems
  • Condensed Matter Physics

Background:

  • Interfaces in random media are crucial in diverse physical phenomena.
  • Distinguishing between fractal and rough interfaces is a key challenge.
  • Universality classes dictate system behavior near critical points.

Purpose of the Study:

  • To investigate the universality class of critically pinned interfaces in 2D isotropic random media.
  • To determine if fractal and rough interfaces belong to the same universality class.
  • To explore the implications for various physical models.

Main Methods:

  • Extensive numerical simulations were performed.
  • Analysis focused on interfaces with short-range correlations in the randomness.
  • The study considered models like random field Ising models and epidemic models.

Main Results:

  • A conjecture is proposed that these interfaces are always in the universality class of ordinary percolation.
  • No distinction was found between fractal (percolative) and rough, nonfractal interfaces in 2D.
  • This holds for zero-temperature random field Ising models, heterogeneous bootstrap percolation, and SIIR epidemics.

Conclusions:

  • Critically pinned 2D interfaces in isotropic random media with short-range correlations exhibit universal behavior.
  • The findings unify the understanding of interface roughness and fractal properties in these systems.
  • Exclusions apply to models with long-range correlations or forbidden overhangs.