Microscopic equation for growing interfaces in quenched disordered media

L. A. BRAUNSTEIN; R. C. BUCETA; A. DÍAZ-SÁNCHEZ

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP Publishing Ltd.

Lugar: Bristol; Año: 1999 vol. 32 p. 1801 - 1807

0305-4470

We present a microscopic equation for a growing interface with quenched noise of the Tang and Leschhorn model (Tang L H and Leschhorn H 1992 Phys. Rev. A 45 R8309). Evolution equations for the height, the mean height, and the roughness are reached in a simple way. An equation for the interface activity density (or free sites density) as a function of time is obtained. The microscopic equation allows us to express these equations in terms of two contributions: the diffusion and the substratum contributions. All these equations shows the strong interplay between the diffusion and the substratum contribution in the dynamics