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Article: Frenkel-Kontorova model with toda interactions

TitleFrenkel-Kontorova model with toda interactions
Authors
Lin, BHu, B
KeywordsBreaking Of Analyticity
Frenkel-Kontorova Model
Incommensurate
Multifractal
Toda Interaction
Issue Date1992
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-4715
Citation
Journal of Statistical Physics, 1992, v. 69 n. 5-6, p. 1047-1068 How to Cite?
DOI: http://dx.doi.org/10.1007/BF01058761
AbstractWe have studied the Frenkel-Kontorova (FK) model with Toda interactions. The phase diagram is found to be asymmetric due to the exponential form of the Toda interaction. The reflection symmetry observed in the standard FK model is broken here. The singularity spectrum and the generalized dimension are calculated and their dependence on the nonlinearity parameter is discussed. The critical exponents of the gap in the phonon spectrum, the correlation length, and the Peierls-Nabarro barrier are found to be the same as those in the standard FK model and are independent of the nonlinearity parameter. © 1992 Plenum Publishing Corporation.
Persistent Identifierhttp://hdl.handle.net/10722/91063
ISSN
0022-4715
2023 Impact Factor: 1.3
2023 SCImago Journal Rankings: 0.798
ISI Accession Number ID
WOS:A1992KA93500006

 

DC FieldValueLanguage
dc.contributor.authorLin, Ben_HK
dc.contributor.authorHu, Ben_HK
dc.date.accessioned2010-09-17T10:12:29Z-
dc.date.available2010-09-17T10:12:29Z-
dc.date.issued1992en_HK
dc.identifier.citationJournal of Statistical Physics, 1992, v. 69 n. 5-6, p. 1047-1068en_HK
dc.identifier.issn0022-4715en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91063-
dc.description.abstractWe have studied the Frenkel-Kontorova (FK) model with Toda interactions. The phase diagram is found to be asymmetric due to the exponential form of the Toda interaction. The reflection symmetry observed in the standard FK model is broken here. The singularity spectrum and the generalized dimension are calculated and their dependence on the nonlinearity parameter is discussed. The critical exponents of the gap in the phonon spectrum, the correlation length, and the Peierls-Nabarro barrier are found to be the same as those in the standard FK model and are independent of the nonlinearity parameter. © 1992 Plenum Publishing Corporation.en_HK
dc.languageengen_HK
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0022-4715en_HK
dc.relation.ispartofJournal of Statistical Physicsen_HK
dc.subjectBreaking Of Analyticityen_HK
dc.subjectFrenkel-Kontorova Modelen_HK
dc.subjectIncommensurateen_HK
dc.subjectMultifractalen_HK
dc.subjectToda Interactionen_HK
dc.titleFrenkel-Kontorova model with toda interactionsen_HK
dc.typeArticleen_HK
dc.identifier.emailLin, B:blin@hku.hken_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/BF01058761en_HK
dc.identifier.scopuseid_2-s2.0-21144482354en_HK
dc.identifier.volume69en_HK
dc.identifier.issue5-6en_HK
dc.identifier.spage1047en_HK
dc.identifier.epage1068en_HK
dc.identifier.eissn1572-9613-
dc.identifier.isiWOS:A1992KA93500006-
dc.identifier.issnl0022-4715-

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