Canonical solution of a system of long-range interacting rotators on a lattice
Statistical Mechanics
2009-10-31 v2
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 to reduce the model, for any d-dimensional lattice and for any alpha<d, to the mean field (alpha=0) model.
Cite
@article{arxiv.cond-mat/0002168,
title = {Canonical solution of a system of long-range interacting rotators on a lattice},
author = {Alessandro Campa and Andrea Giansanti and Daniele Moroni},
journal= {arXiv preprint arXiv:cond-mat/0002168},
year = {2009}
}
Comments
Initially submitted to Physical Review Letters: following referees' Comments it has been transferred to Phys. Rev. E, because of supposed no general interest. Divided into sections, corrections in (5) and (20), reference 5 updated. 8 pages 1 figure