Active-Site Motion and Pattern Formation in Self-Organised Interface Depinning
Condensed Matter
2007-05-23 v1
Abstract
We study a dynamically generated pattern in height gradients, centered around the active growth site, in the steady state of a self-organised interface depinning model. The pattern has a power-law tail and depends on interface slope. An approximate integral equation relates the profile to local interface readjustments and long-ranged jumps of the active site. The pattern results in a two-point correlation function saturating to a finite value which depends on system size. Pattern formation is generic to systems in which the dynamics leads to correlated motion of the active site.
Cite
@article{arxiv.cond-mat/9601013,
title = {Active-Site Motion and Pattern Formation in Self-Organised Interface Depinning},
author = {Supriya Krishnamurthy and Mustansir Barma},
journal= {arXiv preprint arXiv:cond-mat/9601013},
year = {2007}
}
Comments
Revtex, 4 pages, 5 figures available upon request from author. To appear in Physical Review Letters