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Article: Generalized FrenkelKontorova models
Title  Generalized FrenkelKontorova models 

Authors  
Issue Date  1994 
Publisher  Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa 
Citation  Physica A: Statistical Mechanics and its Applications, 1994, v. 205 n. 13, p. 420442 How to Cite? 
Abstract  We have studied two generalized FrenkelKontorova (FK) models. In one of them the interatomic potential is changed from simple harmonic to Toda; in the other the external potential is changed from sinusoidal to nonanalytic. Their critical behaviors are found to be markedly different. In the Toda case, the local critical exponents are the same as those in the standard FK model. However, the global singularity spectrum and the generalized dimension depend on the anharmonicity parameter. In the nonanalytic FK model, the critical exponents are found to vary with the degree of inflection z for 2≤z<3, but remain the same for z≥3. The degree of inflection thus plays a role quite similar to that of dimensionality in phase transitions with z = 2 and 3 corresponding respectively to the lower and upper critical dimensions. For z>3, a sequence of pinning and depinning transitions, reflecting the recurrence of KolmogorovArnol'dMoser tori, has also been observed. © 1994. 
Persistent Identifier  http://hdl.handle.net/10722/90805 
ISSN  2015 Impact Factor: 1.785 2015 SCImago Journal Rankings: 0.738 
DC Field  Value  Language 

dc.contributor.author  Hu, B  en_HK 
dc.contributor.author  Lin, B  en_HK 
dc.contributor.author  Shi, J  en_HK 
dc.date.accessioned  20100917T10:08:39Z   
dc.date.available  20100917T10:08:39Z   
dc.date.issued  1994  en_HK 
dc.identifier.citation  Physica A: Statistical Mechanics and its Applications, 1994, v. 205 n. 13, p. 420442  en_HK 
dc.identifier.issn  03784371  en_HK 
dc.identifier.uri  http://hdl.handle.net/10722/90805   
dc.description.abstract  We have studied two generalized FrenkelKontorova (FK) models. In one of them the interatomic potential is changed from simple harmonic to Toda; in the other the external potential is changed from sinusoidal to nonanalytic. Their critical behaviors are found to be markedly different. In the Toda case, the local critical exponents are the same as those in the standard FK model. However, the global singularity spectrum and the generalized dimension depend on the anharmonicity parameter. In the nonanalytic FK model, the critical exponents are found to vary with the degree of inflection z for 2≤z<3, but remain the same for z≥3. The degree of inflection thus plays a role quite similar to that of dimensionality in phase transitions with z = 2 and 3 corresponding respectively to the lower and upper critical dimensions. For z>3, a sequence of pinning and depinning transitions, reflecting the recurrence of KolmogorovArnol'dMoser tori, has also been observed. © 1994.  en_HK 
dc.language  eng  en_HK 
dc.publisher  Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa  en_HK 
dc.relation.ispartof  Physica A: Statistical Mechanics and its Applications  en_HK 
dc.title  Generalized FrenkelKontorova models  en_HK 
dc.type  Article  en_HK 
dc.identifier.email  Lin, B:blin@hku.hk  en_HK 
dc.description.nature  link_to_subscribed_fulltext   
dc.identifier.scopus  eid_2s2.00013136515  en_HK 
dc.identifier.volume  205  en_HK 
dc.identifier.issue  13  en_HK 
dc.identifier.spage  420  en_HK 
dc.identifier.epage  442  en_HK 