Physics NotePublished
Equation of States of the Potts Ferromagnet in Anisotropic Square Lattice: Renormalization Group Approach
A. M. N. Chame; C. Tsallis; U. M. S. Costa
1987
Publication details
- Authors
- A. M. N. Chame; C. Tsallis; U. M. S. Costa
- Type
- Physics Note
- Status
- Published
- Publication date
- 1987
- Description
- We extend to the anisotropic case (not necessarily equal coupling constants along the various crystalline directions) the real space renormalization group procedure recently introduced by Caride and Tsallis, which directly yields the order parameter for arbitrary temperatures. The method does not demand the calculation of the thermodynamic energy, it is as simple as a mean field calculation although it provides non trivial results, which can be systematically improved. Within the present extension, the coordination number of any given site is generalized into a suitable average of the coupling constants involving that site. We apply the procedure to the q-state Potts ferromagnet in anisotropic square lattice, whose exact equation of states is still unknown. Whenever possible, the results compare satisfactorily with available exact results.
- Year
- 1987
- Number
- CBPF-NF-028/87
- Linked to a thesis
- No
- Linked to a grant
- No