The four dimensional site-diluted Ising model: a finite-size scaling study

Abstract

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the perturbative scenario: there is only the Ising fixed point with large logarithmic scaling corrections. We obtain, using the Perturbative Renormalization Group, functional forms for the scaling of several observables that are in agreement with the numerical data.

30 pages, 8 postscript figures

References in corpus (2)

• Ising exponents in the two-dimensional site-diluted Ising model
• Measures of critical exponents in the four dimensional site percolation

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