Self-avoiding random walkers with steps along eight possible directions (octopus walkers)

Resumo

Diferent types of random walkers are studied by assuming that they have eight diferent possibilities to make steps in pre-determined directions. The walkers are not allowed to step on already visited places in the plane (self-avoiding walkers). The main variables chosen to depict their behavior are the number of steps and the distance they reach before

they are trapped. A measure of how the walkers are difused, an index of how the paths of the walkers are folded and the efect of restricting the region where the walkers may walk are also studied.