Modelling non-periodic systems by binary uniform substitution sequences

Autor:	T. C. Petit Lobão, M.A.S. Trindade, Suani Tavares Rubim de Pinho
Rok vydání:	2005
Předmět:	Statistics and Probability Pure mathematics Spins Homogeneous Lattice (order) Binary number Condensed Matter Physics Mathematics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 357:79-85
ISSN:	0378-4371
DOI:	10.1016/j.physa.2005.05.062
Popis:	Substitution sequences are used for modelling non-homogeneous interactions between elements (atoms, spins, etc.) that form up neither periodic nor disordered lattice models whose physical properties may be different from those of homogeneous systems. In this work, we present a classification of substitution sequences generated by 2-letters uniform rules concerning periodicity with its demonstration as well as its relation with the concept of almost periodicity. We also discuss some physical consequences of our classification regarding spin models.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::496f036430fb6f58bdd8d2a94130e85c https://doi.org/10.1016/j.physa.2005.05.062 Zobrazit plný text záznamu Full Text from ScienceDirect