NEW RESULTS ON ORIENTED SELF-AVOIDING WALKS WITH ORIENTATION-DEPENDENT INTERACTIONS

We consider oriented self-avoiding walks on the square lattice with different interactions between steps depending on their relative parallel or anti-parallel orientations. Using Monte Carlo techniques we study the question, raised by previous field-theoretical considerations, that, in the case of interactions between steps of the walk that are oriented parallel to each other, the exponent gamma, which is associated with the total number of such walks, varies continuously with the energy of interaction. The Monte Carlo results are in disagreement with the field-theoretic prediction.