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Resumo: Estudamos um modelo unidimensional de partículas interagentes que se comunicam por meio de canais com uma corrente representando a atividade dos mesmos. Temos portanto um modelo de 1+1 dimensões, em que a interação se dá ao longo da dimensão temporal por meio de aglutinação de canais primeiros vizinhos ou criação de sítios por meio de divisão de fluxo num dado vértice. Tais processos são ditados por meio de uma otimização definida em cada sítio a qual é atribuído um gasto estocástico para a transferência de corrente em cada ligação, realizada de forma a otimizar localmente o fluxo por entre os canais. Obtivemos as distribuições estáveis de correntes para os limites de altas e baixas correntes, neste limite inferior a fração de canais utilizados tende ao valor nulo por meio de uma lei de potência com expoente 1/2 para a corrente média do sistema.
Discussão
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