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Simulation of a critical Ising fractal

Journal Article · · Phys. Rev. Lett.; (United States)
The results of a microcanonical simulation of an Ising model defined on a truncated, lattice-embedded, fractal Sierpinsky carpet of dimension approx.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 approx.1.66 +- 0.10.
Research Organization:
The Institute for Advanced Study, Princeton, New Jersey 08540
OSTI ID:
6256702
Journal Information:
Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 53:24; ISSN PRLTA
Country of Publication:
United States
Language:
English

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