Intermittence and roughening of periodic elastic media

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2001
Major/Subject
Mcode
Degree programme
Language
en
Pages
036126/1-7
Series
Physical Review E, Volume 63, Issue 3
Abstract
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 λ, 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 crossover, which is confirmed by extensive exact ground state calculations.
Description
Keywords
interface and surface thermodynamics, random magnets, optimization, interface structure and roughness
Other note
Citation
Seppälä, E. T. & Alava, Mikko J. & Duxbury, P. M. 2001. Intermittence and roughening of periodic elastic media. Physical Review E. Volume 63, Issue 3. 036126/1-7. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.63.036126.