Canonical solution of a system of long-range interacting rotators on a lattice

Details Canonical solution of a system of long-range interacting rotators on a lattice Canonical solution of a system of long-range interacting rotators on a lattice

2000-02-11

arxiv.org/abs/cond-mat/0002168v2

Phys. Rev. E 62, 303 (2000)

Physics

Condensed Matter

Statistical Mechanics

Initially submitted to Physical Review Letters: following referees' Comments it has been transferred to Phys. Rev. E, because

Scientific paper

10.1103/PhysRevE.62.303

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

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