Intermittence and roughening of periodic elastic media

Details Intermittence and roughening of periodic elastic media Intermittence and roughening of periodic elastic media

2000-12-07

arxiv.org/abs/cond-mat/0012109v1

Phys. Rev. E 63, 036126 (2001)

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.036126

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the typical behavior of a large sample is intermittent, and does not self-average to a smooth behavior. Instead, large fluctuations occur in the mean location of the interface and the onset of interface roughening is via an extensive fluctuation which leads to a jump in the roughness of order $\lambda$, the period of the potential. Analytical arguments based on extreme statistics are given for the number of the minima of the periodicity visited by the interface and for the roughening cross-over, which is confirmed by extensive exact ground state calculations.

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