Self-avoiding walk (SAW), being a nonequilibrium cooperative phenomenon, is investigated with a finite-order-restricted-walk (finite-ORW or FORW) coherent-anomaly method (CAM). The coefficient β1r in the asymptotic form Cnr≅ β1r λn1r for the total number Cnr of r- ORW's with respect to the...

The competition between two orders which have three and two components, respectively, in three dimensions, modeling the general phase diagram of high-Tc superconductivity (SC) with proximity of antiferromagnetism (AF) and d-wave SC, is investigated by Monte Carlo simulations on an O(5)...