Title

Dynamic Scaling of the Interface in a Diffusive Front

Document Type

Article

Publication Date

6-21-1992

Department

Computing

Abstract

A model is introduced to simulate irreversible wetting in a two-dimensional lattice system in which a fixed number of carriers, each diffusing from the source, wet the dry sites on their trail. We find that the propagation of the front of the wet phase is diffusive. The interface width is found to increase as a power of the average height with the exponent beta congruent-to 0.74. In a system of finite size L the width saturates to a constant value in the long time limit. The saturated interface width scales as L(alpha) with alpha congruent-to 1.

Publication Title

Journal of Physics A: Mathematics and General

Volume

25

Issue

12

First Page

L745

Last Page

L748