Singular dynamic scaling on fractal lattices

S. C. Bell and B. W. Southern
Phys. Rev. B 38, 333 – Published 1 July 1988
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Abstract

Finite-size scaling calculations are performed for the critical dynamics of the ferromagnetic Ising model on fractal lattices. We confirm the predictions of Henley’s heuristic theory of singular dynamic scaling and compare our results with those recently obtained by Kutasov et al. using Monte Carlo methods. It is found that fractal lattices which have odd coordination have an exponentially large number of metastable states but that these states do not necessarily play a significant role in the critical dynamics.

  • Received 22 February 1988

DOI:https://doi.org/10.1103/PhysRevB.38.333

©1988 American Physical Society

Authors & Affiliations

S. C. Bell and B. W. Southern

  • Department of Physics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

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Vol. 38, Iss. 1 — 1 July 1988

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