Made available in DSpace on 2014-12-17T15:14:51Z (GMT). No. of bitstreams: 1 RobertoTGO_DISSERT.pdf: 394069 bytes, checksum: fbb8faf7e24cc92335302e442b92ec43 (MD5) Previous issue date: 2010-02-22 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico / In this work we study the phase transitions of the ferromagnetic three-color Ashkin-Teller Model in the hierarquical lattice generated by the Wheatstone bridge using real space renormalization group approach. With such technique we obtain the phase diagram and its critical points with respective critical exponents v. This model presents four phases: ferromagnetic, paramagnetic and two intermediates. Nine critical points were found, three of which are of Ising model type, three are of four states Potts model type, one is of eight states Potts model type and the last two which do not correspond to any Potts model with integer number of states. iv / Neste trabalho estudamos as transi??es de fase do modelo de Ashkin-Teller de tr?s cores ferromagn?tico na rede hier?rquica ponte de Wheatstone utilizando o m?todo de grupo de renormaliza??o no espa?o real. Com a utiliza??o desta t?cnica obtemos o diagrama de fases e seus pontos cr?ıticos com respectivos expoentes cr?ticos v. O modelo apresenta quatro fases: ferromagn?tica, paramagn?tica e duas intermedi?rias. Nove pontos cr?ıticos foram encontrados, sendo tr?s de classe de universalidade Ising, tr?s Potts de quatro estados, um Potts de oito estados e dois com classe de universalidade n?o correspondente a nenhum Potts com n?mero inteiro de estados