Affordable Access

Tests of hyperuniversality for self-avoiding walks

Publication Date
  • Caltech Library Services


A universal combination of amplitudes for the end-to-end distance of N-step self-avoiding walks and for the number of N step self-avoiding polygons is estimated numerically for various lattices. In d=2, universality of this amplitude combination is confirmed to good accuracy, while in d=3, the data are consistent with universality but the error limits are rather large. For finite-width, square-lattice strips the authors calculate universal critical point correlation amplitudes by fixed-fugacity Monte Carlo simulations. In addition, these amplitudes are calculated analytically either exactly or approximately by Cardy's conformal mapping approach. Numerical values agree well with the theoretical predictions.

There are no comments yet on this publication. Be the first to share your thoughts.