Numéro
J. Phys. Colloques
Volume 49, Numéro C8, Décembre 1988
Proceedings of the International Conference on Magnetism
Page(s) C8-1565 - C8-1566
DOI https://doi.org/10.1051/jphyscol:19888717
Proceedings of the International Conference on Magnetism

J. Phys. Colloques 49 (1988) C8-1565-C8-1566

DOI: 10.1051/jphyscol:19888717

FRACTALNESS OF THE ISING CONFIGURATION

N. Ito et M. Suzuki

Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo, 113, Japan


Abstract
The configurations of the Ising models are studied. At the critical point, the magnetization of each configuration has fractal nature with respect to the majority-rule scale transformation. This fractalness yields the hyperscaling relation and predicts the values of finite-size-scaling exponents in four- or more-dimensional lattices.