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

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

1996-01-05

arxiv.org/abs/cond-mat/9601013v1

Physics

Condensed Matter

Revtex, 4 pages, 5 figures available upon request from author. To appear in Physical Review Letters

Scientific paper

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.

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