Dynamic Model with Quenched Rotational Disorder in the Hexagonal Lattice
摘要:
We study a 'percolative' dynamic model with quenched rotational disorder for the hexagonal lattice whose localization properties of the trajectories depend on the turning probabilities. Its critical behavior corresponds to that of simple percolation in some part of the parameter space, but elsewhere the exponents reveal new universality classes. We obtain the end-to-end distance as a function of the number of steps for different points in the parameter space. We also calculate the critical percolation probability for the hexagonal lattice, and find that it does not agree with the standard value.