J. Phys. II France
Volume 5, Number 1, January 1995
Page(s) 11 - 17
DOI: 10.1051/jp2:1995110
J. Phys. II France 5 (1995) 11-17

Dynamics of Growing Interfaces in Disordered Medium: The Effect of Lateral Growth

Semjon Stepanow

Martin-Luther-Universität Halle-Wittenberg, Fachbereich Physik, Friedemann-Bach-Platz 6, 06108 Halle/Saale, Germany

(Received 1 October 1994, received in final form 11 October 1994, accepted 18 October 1994)

We study the model of a driven interface in a disordered medium including the KPZ-nonlinearity. The coupled functional renormalization group flow equations for the disorder correlator and the coupling constant associated with the KPZ-nonlinearity possess a strong coupling fixed-point for the interface dimensions d=1, 2. In d=1 we get the roughness exponent and the dynamical exponent in one-loop approximation respectively as $\zeta = 0.8615$ and z=1.

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