Dynamic Scaling of the Interface in a Diffusive Front
Document Type
Letter to the Editor
Publication Date
6-21-1992
Department
Computing
School
Computing Sciences and Computer Engineering
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
Recommended Citation
Family, F.,
Pandey, R. B.
(1992). Dynamic Scaling of the Interface in a Diffusive Front. Journal of Physics A: Mathematics and General, 25(12), L745-L748.
Available at: https://aquila.usm.edu/fac_pubs/6804