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Effect of quenched disorder on moving interfaces in two dimensions

Author

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  • Nolle, C.S.
  • Koiller, Belita
  • Martys, Nicos
  • Robbins, Mark O.

Abstract

We consider the morphology and dynamics of an interface driven through a random two-dimensional medium by an applied force ƒ. The onset of motion is a critical phenomenon, with mean velocity v ∼ (ƒ−ƒc)ζ above the threshold force ƒc. Fluctuations in the velocity exhibit a power law noise spectrum. At large length scales the moving interfaces are self-affine with roughness exponent α=0.5. There is a crossover to different scaling behavior below the correlation length, ξ ∼ (ƒ−ƒc)−v. The type of scaling at small lengths depends upon the nature and strength of the disorder. Two examples are considered — a magnetic domain wall model exhibiting self-similar structure characteristic of percolation, and a fluid invasion model which produces self-affine scaling.

Suggested Citation

  • Nolle, C.S. & Koiller, Belita & Martys, Nicos & Robbins, Mark O., 1994. "Effect of quenched disorder on moving interfaces in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 342-354.
  • Handle: RePEc:eee:phsmap:v:205:y:1994:i:1:p:342-354
    DOI: 10.1016/0378-4371(94)90512-6
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    Cited by:

    1. Mijatović, Svetislav & Jovković, Dragutin & Janićević, Sanja & Graovac, Stefan & Spasojević, Djordje, 2021. "A tool for identifying the criticality in the disordered systems with metastable dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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