Intermittence and roughening of periodic elastic media

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Intermittence and roughening of periodic elastic media. / Seppälä, Eira T.; Alava, M.J.; Duxbury, P.M.

In: Physical Review E, Vol. 63, No. 3, 036126, 2001, p. 1-7.

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Seppälä, Eira T. ; Alava, M.J. ; Duxbury, P.M. / Intermittence and roughening of periodic elastic media. In: Physical Review E. 2001 ; Vol. 63, No. 3. pp. 1-7.

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@article{8759a918f9d44bab9f0ad1ad0ae7b97f,
title = "Intermittence and roughening of periodic elastic media",
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.",
keywords = "interface and surface thermodynamics, interface structure and roughness, optimization, random magnets, interface and surface thermodynamics, interface structure and roughness, optimization, random magnets, interface and surface thermodynamics, interface structure and roughness, optimization, random magnets",
author = "Sepp{\"a}l{\"a}, {Eira T.} and M.J. Alava and P.M. Duxbury",
year = "2001",
doi = "10.1103/PhysRevE.63.036126",
language = "English",
volume = "63",
pages = "1--7",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3",

}

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TY - JOUR

T1 - Intermittence and roughening of periodic elastic media

AU - Seppälä, Eira T.

AU - Alava, M.J.

AU - Duxbury, P.M.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - interface and surface thermodynamics

KW - interface structure and roughness

KW - optimization

KW - random magnets

KW - interface and surface thermodynamics

KW - interface structure and roughness

KW - optimization

KW - random magnets

KW - interface and surface thermodynamics

KW - interface structure and roughness

KW - optimization

KW - random magnets

U2 - 10.1103/PhysRevE.63.036126

DO - 10.1103/PhysRevE.63.036126

M3 - Article

VL - 63

SP - 1

EP - 7

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

M1 - 036126

ER -

ID: 3545541