Canonical solution of a system of long-range interacting rotators on a lattice
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.
Campa
A
Physics Laboratory, Istituto Superiore di Sanita and INFN Sezione di Roma 1, Gruppo Collegato Sanita, Viale Regina Elena 299, 00161 Roma, Italy.
Giansanti
A
Moroni
D