Estudo das propriedades críticas do processo epidêmico por par com difusão de pares

The pair contact process - PCP is a nonequilibrium stochastic model which, like the basic contact process - CP, exhibits a phase transition to an absorbing state. While the absorbing state CP corresponds to a unique configuration (empty lattice), the PCP process infinitely many. Numerical and theoretical studies, nevertheless, indicate that the PCP belongs to the same universality class as the CP (direct percolation class), but with anomalies in the critical spreading dynamics. An infinite number of absorbing configurations arise in the PCP because all process (creation and annihilation) require a nearest-neighbor pair of particles. The diffusive pair contact process - PCPD) was proposed by Grassberger in 1982. But the interest in the problem follows its rediscovery by the Langevin description. On the basis of numerical results and renormalization group arguments, Carlon, Henkel and Schollwöck (2001), suggested that certain critical exponents in the PCPD had values similar to those of the party-conserving - PC class. On the other hand, Hinrichsen (2001), reported simulation results inconsistent with the PC class, and proposed that the PCPD belongs to a new universality class. The controversy regarding the universality of the PCPD remains unresolved. In the PCPD, a nearest-neighbor pair of particles is necessary for the process of creation and annihilation, but the particles to diffuse individually. In this work we study the PCPD with diffusion of pair, in which isolated particles cannot move; a nearest-neighbor pair diffuses as a unit. Using quasistationary simulation, we determined with good precision the critical point and critical exponents for three values of the diffusive probability: D=0.5 and D=0.1. For D=0.5: PC=0.89007(3), β/v=0.252(9), z=1.573(1), =1.10(2), m=1.1758(24). For D=0.1: PC=0.9172(1), β/v=0.252(9), z=1.579(11), =1.11(4), m=1.173(4)

A contribuição de Diké na formação do Emílio ou o papel da jurisdição constitucional na concretização do direito social à educação

The fundamental social right to education has a lengthy constitutional argument, having been declared as a right to everyone in the Title dedicated to the fundamental rights and warrants and, later, scrutinized in the Social Order Chapter exclusively devoted to this theme, where specific rights are guaranteed and fundamental duties are imposed to family, society, and state. In that which concerns education, the 1988 Constitution is the result of a historical-normative process which, since the days of the Lusitanian Empire wavering between distinct levels of protection warrants in some way the educational process. Nevertheless, not even the State s oldest commitment to education has been fully achieved, namely, the annihilation of illiteracy. Even as other fundamental social rights, education is inflicted with the lack of effective political will to reach its fulfillment, and this is reflected in the production of doctrine and jurisprudence which reduce the efficacy of these rights. The objective of this work is to analyze what part is to be played by the constitutional jurisdiction in the reversal of this picture in regards to the fulfillment of the fundamental social right to education. Therefore it is indispensable to present a proper conception of constitutional jurisdiction its objectives, boundaries and procedures and that of the social rights in the Brazilian context so as to establish its relationship from the prism of the right to education. The main existing obstacles to the effective action of constitutional jurisdiction on the ground of social rights are identified and then proposals so as to overcome them are presented. The contemplative and constructive importance of education in the shaping of the individual as well as its instrumental relevance to the achievement of the democratic ideal through the means of the shaping of the citizen is taken into account. The historical context which leads to the current Brazilian educational system is analyzed, tracing the normative area and the essential content of the fundamental right to education aiming to delineate parameters for the adequate development of the constitutional jurisdiction in the field. This jurisdiction must be neither larger nor narrower than that which has been determined by the Constitution itself. Its activity has been in turns based on a demagogic rhetoric of those fundamental rights which present a doubtful applicability, or falling short of that which has been established showing an excessive reverence to the constituent powers. It is necessary to establish dogmatic parameters for a good action of this important tool of constitutional democracy, notably in regards to the fundamental social right to education, for the sake of its instrumental role in the achievement of the democratic ideals of liberty and equality

Estudo das propriedades críticas do processo epidêmico por par com difusão de pares

The pair contact process - PCP is a nonequilibrium stochastic model which, like the basic contact process - CP, exhibits a phase transition to an absorbing state. While the absorbing state CP corresponds to a unique configuration (empty lattice), the PCP process infinitely many. Numerical and theoretical studies, nevertheless, indicate that the PCP belongs to the same universality class as the CP (direct percolation class), but with anomalies in the critical spreading dynamics. An infinite number of absorbing configurations arise in the PCP because all process (creation and annihilation) require a nearest-neighbor pair of particles. The diffusive pair contact process - PCPD) was proposed by Grassberger in 1982. But the interest in the problem follows its rediscovery by the Langevin description. On the basis of numerical results and renormalization group arguments, Carlon, Henkel and Schollwöck (2001), suggested that certain critical exponents in the PCPD had values similar to those of the party-conserving - PC class. On the other hand, Hinrichsen (2001), reported simulation results inconsistent with the PC class, and proposed that the PCPD belongs to a new universality class. The controversy regarding the universality of the PCPD remains unresolved. In the PCPD, a nearest-neighbor pair of particles is necessary for the process of creation and annihilation, but the particles to diffuse individually. In this work we study the PCPD with diffusion of pair, in which isolated particles cannot move; a nearest-neighbor pair diffuses as a unit. Using quasistationary simulation, we determined with good precision the critical point and critical exponents for three values of the diffusive probability: D=0.5 and D=0.1. For D=0.5: PC=0.89007(3), β/v=0.252(9), z=1.573(1), =1.10(2), m=1.1758(24). For D=0.1: PC=0.9172(1), β/v=0.252(9), z=1.579(11), =1.11(4), m=1.173(4)