Kim, Hyun-Joo; Park, Kwangho; Kim, In-Mook:

Stochastic growth models for driven interfaces through random media in two and three dimensions

In: Physical review : E, Jg. 65 (2002) ; Nr. 1, S. 017104 (4 pages)
ISSN: 1550-2376, 1539-3755
Zeitschriftenaufsatz / Fach: Physik
Abstract:
We introduce two simple stochastic growth models which describe the motion of the interfaces driven through random media in two and three dimensions. One model describes the motion of the interface driven through isotropic random media, where the dynamics of the interface can be described by the quenched Edwards-Wilkinson (QEW) equation. The other model describes the motion of the interface driven through anisotropic random media, where the dynamics of the interface can be described by the quenched Kardar-Parisi-Zhang (QKPZ) equation. We show via computer simulations that two models belong to the QEW and QKPZ universality class in two and three dimensions, respectively.

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