Mariz, Ananias MonteiroSouza, Ezequiel Silva de2014-12-172012-06-062014-12-171988-08-19SOUZA, Ezequiel Silva de. Propriedades críticas do modelo z(4) em sistemas bi e tridimensionais. 1988. 71 f. Dissertação (Mestrado em Física da Matéria Condensada; Astrofísica e Cosmologia; Física da Ionosfera) - Universidade Federal do Rio Grande do Norte, Natal, 1988.https://repositorio.ufrn.br/jspui/handle/123456789/16580A real space renormalization group method is used to investigate the criticality (phase diagrams, critical expoentes and universality classes) of Z(4) model in two and three dimensions. The values of the interaction parameters are chosen in such a way as to cover the complete phase diagrams of the model, which presents the following phases: (i) Paramagnetic (P); (ii) Ferromagnetic (F); (iii) Antiferromagnetic (AF); (iv) Intermediate Ferromagnetic (IF) and Intermediate Antiferromagnetic (IAF). In the hierarquical lattices, generated by renormalization the phase diagrams are exact. It is also possible to obtain approximated results for square and simple cubic lattices. In the bidimensional case a self-dual lattice is used and the resulting phase diagram reproduces all the exact results known for the square lattice. The Migdal-Kadanoff transformation is applied to the three dimensional case and the additional phases previously suggested by Ditzian et al, are not foundapplication/pdfAcesso AbertoModelo Z(4)Propriedades críticasmasterThesisCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA