Realização experimental de uma rede de fusíveis aleatórios via diluição

• Autor(a) principal: Vilela, Tatiane de Souza
• Data de Publicação: 2013
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: LOCUS Repositório Institucional da UFV
• Texto Completo: http://locus.ufv.br/handle/123456789/4271
• topic: Percolação (Física estática); Metais - Fraturas; Redes elétricas; Circuitos elétricos; Percolation (static Physics); Metals - fractures; Electrical networks; Electrical circuits; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA

The study of the process of fracture in disordered materials is of huge importance in various fields of science and technology. Thus, several network models have been proposed to investigate the process of rupture of these materials, in particular, the random fuse model (RFM).The fuse model is the electrical analog to the mechanic model where the elastic force is represented by the electric current and the displacement is represented by voltage. In this work, our main objective was to experimentally study the influence of disorder in the rupture process of a random network of fuses. The experimental apparatus consisted of a square lattice of size L x L, in which the edges are fuses (copper wires). The network vertices were connected with copper wires (diameter 0.031 mm and resistivity ρ = 1.69 x 10-8 Ωm). This process generates an weakly disordered system. The disorder was introduced via a dilution of the network, where copper wires edges randomly removed from the network. The rupture process consisted of applying a potential difference on the network and measuring the corresponding current. After this process we obtain did information, such as the behavior of the was network as a function of the degree of disorder represented by the parameter p, and plot depending on the size L of the network, which were analyzed according to the percolation theory and fractures. Our results indicate that near the critical parameter pc, quantities such as the average number of burned fuses that form the percolation cluster, the average size of the percolation cluster and the average resistance of the network, obey power laws with critical exponents that are apparently not related to the exponents provided by the percolation theory.