Scaling Relations and Exponents in the Growth of Rough Interfaces Through Random Media

Details Scaling Relations and Exponents in the Growth of Rough Interfaces Through Random Media Scaling Relations and Exponents in the Growth of Rough Interfaces Through Random Media

1994-12-13

arxiv.org/abs/cond-mat/9412059v1

Physics

Condensed Matter

4 pages, RevTex, twocolumns, two figures (upon request). To appear in Europhysics Letters

Scientific paper

10.1209/0295-5075/29/3/002

The growth of a rough interface through a random media is modelled by a continuous stochastic equation with a quenched noise. By use of the Novikov theorem we can transform the dependence of the noise on the interface height into an effective temporal correlation for different regimes of the evolution of the interface. The exponents characterizing the roughness of the interface can thus be computed by simple scaling arguments showing a good agreement with recent experiments and numerical simulations.

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