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

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

2002-06-10

arxiv.org/abs/cond-mat/0206148v1

Phys. Rev. E 66, 036117 (2002).

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 EPS figures

Scientific paper

10.1103/PhysRevE.66.036117

We investigate the roughening phase transition of a $(3+1)$-dimensional elastic manifold driven by the completion between a periodic pinning potential and a randomly distributed impurities. The elastic manifold is modeled by a solid-on-solid type interface model, and universal features of the transition from a flat phase (for strong periodic potential) to a rough phase (for strong disorder) are studied at zero temperature using a combinatorial optimization algorithm technique. We find a {\it continuous} transition with a set of numerically estimated critical exponents that we compare with analytic results and those for a periodic elastic medium.

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