The canonical partition function of a system of rotators (classical X-Y spins) on a lattice, coupled by terms decaying as the inverse of their distance to the power alpha, is analytically computed. It is also shown how to compute a rescaling function that allows us to reduce the model, for any d-dimensional lattice and for any alpha<d, to the mean-field (alpha=0) model.
Canonical solution of a system of long-range interacting rotators on a lattice / Alessandro, Campa; Giansanti, Andrea; Daniele, Moroni. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 62:1 A(2000), pp. 303-306. [10.1103/physreve.62.303]
Canonical solution of a system of long-range interacting rotators on a lattice
GIANSANTI, Andrea;
2000
Abstract
The canonical partition function of a system of rotators (classical X-Y spins) on a lattice, coupled by terms decaying as the inverse of their distance to the power alpha, is analytically computed. It is also shown how to compute a rescaling function that allows us to reduce the model, for any d-dimensional lattice and for any alphaFile allegati a questo prodotto
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