Abstract
A recently proposed molecular model is discussed as a nontrivial extension of the Ising model. For the two models are shown to be equivalent, while for the molecular model describes a peculiar second order transition from an isotropic high-temperature phase to a low-dimensional anisotropic low-temperature state. The general mean-field analysis is compared with the results achieved by a variational Migdal-Kadanoff real space renormalization group method and by standard Monte Carlo sampling for By finite size scaling the critical exponent has been found to be thus establishing that the molecular model does not belong to the universality class of the Ising model for
- Received 24 May 2000
DOI:https://doi.org/10.1103/PhysRevE.62.6026
©2000 American Physical Society