Mário José de Oliveira

• Scaling hypothesis for a sequence of approxmate results., AR.EXT

• Abstract

  We intent to study the time evolution of biological populations, including epidemic spreading, by the point of view of the stochastic dynamics. Among the models that we will study there are generalizations of the cyclic model susceptible-infected-recovered-susceptible for four or more states. We will analize the phase transition and the critical behavior in Bravais lattices in many dimens…

  Phase transitions and critical phenomena in stochastic models describing population dynamics, BP.DR

• Abstract

  We intend to analyze by numerical simulations models that describe the dynamic percolation, which are used in the stochastic description of epidemic spreading. The main model to be analyzed has three states, susceptible, infected and exposed, and two reactions, auto-catalytic infection and catalytic exposition. We will focus in the study of the critical behavior and in the determination o…

  Numerical simulations of dynamic percolation, BP.MS

• Abstract

  In this project, we pretend to study liquid crystals with modulated structures from discrete models defined on lattices, with emphasis on the structural understanding of thermotropic liquid crystals, in particular the cholesteric phase.Based on ferromagnetic models with interactions like ANNNI (Axial-Next-Nearst-Ising) and like Dzyaloshinsky-Moriya, responsible for the existence of modula…

  Statistical Models for Liquid Crystals, BP.PD

(Only some records are available in English at this moment)

• Abstract

  The study and classification of phase transitions is of major importance because it allows us to organize different systems according to theirmost basic features into universality classes. Phase transitions in nonequilibrium models have attracted recent attention, and here we are interested in continuous phase transition between absorbing and active nonequilibrium steady states. Such phas…

  Nonequilibrium phase transitions in the presence of temporal disorder, BE.EP.DR

• Abstract

  In this project we intend to study the effects of competing interactions in two different systems.As the quantum spherical model is an excellent laboratory in the context of quantum phase transitions, we wish to study the properties of quantum spherical model with competing interactions in order to construct and analyze the phase diagram, characterizing the modulated phases. In the field …

  Competing interactions in spin-like models, BE.EP.PD