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Numerical study of the disorder-driven roughening transition in an elastic manifold in a periodic potential

2002/06/10 by Jae Dong Noh, Heiko Rieger
Engineering · Materials Science · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.66.036117

published as Phys. Rev. E 66, 036117 (2002). · 6 pages, 7 EPS figures

arxiv created 2002/06/10 · openalex publication_date 2002/09/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the roughening transition of a (3+1)-dimensional elastic manifold, which is driven by the competition between a periodic pinning potential and a random impurity potential. The elastic manifold is modeled by a solid-on-solid-type interface model, and the universal properties of the transition from a flat phase (for strong periodic potential) to a rough phase (for strong random potential) are investigated at zero temperature using a combinatorial optimization algorithm technique. We find that the transition is a continuous one. Critical exponents are estimated numerically, and compared with analytic results and those for a periodic elastic medium.

Citations