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

Jae Dong Noh; Heiko Rieger

doi:10.1103/physreve.66.036117

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

Jae Dong Noh·Heiko Rieger

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Abstract

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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BibTeX RIS

Jae Dong Noh, Heiko Rieger. 2002-06-10. Numerical study of the disorder-driven roughening transition in an elastic manifold in a periodic potential. https://doi.org/10.1103/physreve.66.036117

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