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Author
Nolle, C. S. | Koiller, B. | Martys, N. S. | Robbins, M. O.
Title
Morphology and Dynamics of Interfaces in Random Two-Dimensional Media.
Coporate
Johns Hopkins Univ., Baltimore, MD Pontificia Universidade Catolica do Rio de Janeiro, Brazil National Institute of Standards and Technology, Gaithersburg, MD
Journal
Physical Review Letters, Vol. 71, No. 13, 2074-2077, September 27, 1993
Sponsor
National Science Foundation, Washington, DC
Contract
NSF-GRANT-DMR-9110004
Keywords
morphology | dynamics | interfaces
Abstract
We study the morphology and dynamics of an interface driven through a disordered two-dimensional medium by an applied force. At large length scales the interface is self-affine with roughness exponent alpha = 1/2. The structure at small scales may be self-similar or self-affine, depending on the degree of disorder. Simulations of wetting invasion produce self-affine interfaces with alpha = 0.8 and a power law distribution of local interface velocities. Numerical results are in excellent agreement with experiment. A technique that distinguishes between true self-affine scaling and a crossover is presented, and applied to the invasion model and a model for magnetic domain growth.