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10-19U

10-19U


By icmp_admin - Posted on 08 February 2012

UDC: 
537.611.2, 538.971
PACS: 
05.50.+q, 75.10.Hk, 68.43.Fg, 68.43.De

Structures on lattices: some useful relations

Yu.I. Dublenych

We consider a lattice and structures on it generated by a set of configurations of a cluster. Using some general considerations, we show that there exist linear relations between fractional contents of these configurations in the structures. Such relations can be useful for the determination of the ground states of lattice-gas models (or equivalent spin models). As an illustration we consider a set of configurations of a seven-site cluster on the triangular lattice.

Year: 
2010
Pages: 
5
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