Dc. Brody, ONE-DIMENSIONAL SPHERICAL MODEL WITH A PHASE-TRANSITION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 3665-3669
The one-dimensional spherical model is generalized to include long-ran
ge interactions. A phase transition is shown to occur for a certain ty
pe of interaction. The partition function is explicitly calculated, an
d the critical behaviour of the model is examined.