Abstract
Ferromagnetically interacting Ising spins are placed on a fractal network (such as a critical percolation cluster) with , and endowed with a single-spin-flip dynamics. At low temperatures the collective dynamics is determined by thermal activation over energy barriers. The barrier to overturning of the spins in a domain of size is proportional to , where is a new geometrical parameter characterizing the fractal. A new "singular" dynamic scaling is found in which the effective dynamic critical exponent diverges at criticality.
- Received 7 February 1985
DOI:https://doi.org/10.1103/PhysRevLett.54.2030
©1985 American Physical Society