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|a eng
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|a Seppala
|e verfasserin
|4 aut
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|a Periodic elastic medium in which periodicity is relevant
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|c 2000
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Revised 20.11.2019
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a We analyze, in both (1+1) and (2+1) dimensions, a periodic elastic medium in which the periodicity is such that at long distances the behavior is always in the random-substrate universality class. This contrasts with the models with an additive periodic potential in which, according to the field-theoretic analysis of Bouchaud and Georges and more recently of Emig and Nattermann, the random manifold class dominates at long distances in (1+1) and (2+1) dimensions. The models we use are random-bond Ising interfaces in hypercubic lattices. The exchange constants are random in a slab of size L(d-1)xlambda and these coupling constants are periodically repeated, with a period lambda, along either 10 or 11 [in (1+1) dimensions] and 100 or 111 [in (2+1) dimensions]. Exact ground-state calculations confirm scaling arguments which predict that the surface roughness w behaves as w approximately L(2/3), L<<L(c) and w approximately L(1/2),L>>L(c) with L(c) approximately lambda(3/2) in (1+1) dimensions, and w approximately L0.42,L<<L(c) and w approximately ln(L),L>>L(c) with L(c) approximately lambda(2. 38) in (2+1) dimensions
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|a Journal Article
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|a Alava
|e verfasserin
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|a Duxbury
|e verfasserin
|4 aut
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|i Enthalten in
|t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
|d 1993
|g 62(2000), 3 Pt A vom: 27. Sept., Seite 3230-3
|w (DE-627)NLM098226002
|x 1063-651X
|7 nnns
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| 773 |
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|g volume:62
|g year:2000
|g number:3 Pt A
|g day:27
|g month:09
|g pages:3230-3
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|a AR
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|d 62
|j 2000
|e 3 Pt A
|b 27
|c 09
|h 3230-3
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