Dynamic model with quenched rotational disorder in the hexagonal lattice

We study a 'percolative' dynamic model with quenched rotational disorder fo r the hexagonal lattice whose localization properties of the trajectories d epend on the turning probabilities. Its critical behavior corresponds to th at of simple percolation in some part of the parameter space, but elsewhere the exponents reveal new universality classes. We obtain the end-to-end di stance as a function of the number of steps for different points in the par ameter space. We also calculate the critical percolation probability for th e hexagonal lattice, and find that it does not agree with the standard valu e.