Minimal configurations for the Frenkel-Kontorova model on a quasicrystal

Author	dc.contributor.author	Gambaudo, Jean Marc
Author	dc.contributor.author	Guiraud, Pierre	es_CL
Author	dc.contributor.author	Petite, Samuel	es_CL
Admission date	dc.date.accessioned	2009-04-07T10:36:06Z
Available date	dc.date.available	2009-04-07T10:36:06Z
Publication date	dc.date.issued	2006-07
Cita de ítem	dc.identifier.citation	COMMUNICATIONS IN MATHEMATICAL PHYSICS Volume: 265 Issue: 1 Pages: 165-188 Published: JUL 2006	en
Identifier	dc.identifier.issn	0010-3616
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124871
Abstract	dc.description.abstract	In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. This potential splits into an interaction potential and a potential induced by an underlying substrate which is a quasicrystal. Under standard hypotheses, we show that every minimal configuration has a rotation number, that the rotation number varies continuously with the minimal configuration, and that every non negative real number is the rotation number of a minimal configuration. This generalizes well known results obtained by S. Aubry and P.Y. le Daeron in the case of a crystalline substrate.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	SPRINGER	en
Keywords	dc.subject	DELONE SETS	en
Título	dc.title	Minimal configurations for the Frenkel-Kontorova model on a quasicrystal	en
Document type	dc.type	Artículo de revista