Abstract
The Ising model on the three-dimensional icosahedral quasilattice is studied by use of a Monte Carlo simulation. The authors treat both cases where the spins are located on the vertices of the lattice and the centres of the lattice. They investigate the critical phenomena on the basis of finite-size scaling. It is shown that the critical exponents are universal among regular lattices and quasilattices. The critical temperatures of both models are found to be higher than that of the simple cubic lattice though the (average) coordination numbers of the three lattices are all six.
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