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Modelling non-periodic systems by binary uniform substitution sequences

✍ Scribed by S.T.R. Pinho; T.C. Petit Lobão; M.A.S. Trindade


Book ID
103880146
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
198 KB
Volume
357
Category
Article
ISSN
0378-4371

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✦ Synopsis


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.