1996/01/05 by Supriya Krishnamurthy, Krishnamurthy, Supriya, Mustansir Barma +1
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9601013
Revtex, 4 pages, 5 figures available upon request from author. To appear in Physical Review Letters
arxiv created 1996/01/05 · openalex publication_date 1996/01/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a dynamically generated pattern in height gradients, centered around\nthe active growth site, in the steady state of a self-organised interface\ndepinning model. The pattern has a power-law tail and depends on interface\nslope. An approximate integral equation relates the profile to local interface\nreadjustments and long-ranged jumps of the active site. The pattern results in\na two-point correlation function saturating to a finite value which depends on\nsystem size. Pattern formation is generic to systems in which the dynamics\nleads to correlated motion of the active site.\n