Ising spin dynamics on fractal lattices

Abstract

Glauber dynamics of Ising spins on three finitely ramified fractal lattices is studied by numerical simulation. We find that the relaxation time diverges, as T 0, with a temperature-dependent dynamic exponent, z A/T, as predicted by Henley. His heuristic theory predicts A to within 15%. © 1987 The American Physical Society.