Active-Site Motion and Pattern Formation in Self-Organised Interface Depinning

Preprint

5 January 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9601013

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.

Keywords

ORGANISED INTERFACE DEPINNING
SYSTEMS IN WHICH THE DYNAMICS
ACTIVE SITE MOTION
PATTERN FORMATION
INTEGRAL EQUATION
CORRELATED MOTION

All Related Versions

Version 1, 1996-01-05, ArXiv

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