Effect of quenched disorder on moving interfaces in two dimensions

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

Physica A: Statistical Mechanics and its Applications, 1994, vol. 205, issue 1, 342-354

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:1:p:342-354

DOI: 10.1016/0378-4371(94)90512-6

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