Simulation of a Critical Ising Fractal
- 10 December 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (24), 2277-2280
- https://doi.org/10.1103/physrevlett.53.2277
Abstract
The results of microcanonical simulation of an Ising model defined on a truncated, lattice-embedded, fractal, Sierpinsky carpet of dimension ∼ 1.86 are presented. Estimates for a variety of exponents give, via hyperscaling at criticality and via the behavior of the spin-spin correlation away from criticality, consistently, a dimension ∼ 1.66±0.10.Keywords
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