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Site-diluted Ising model in four dimensions.

Research paper by A A Gordillo-Guerrero, R R Kenna, J J JJ Ruiz-Lorenzo

Indexed on: 13 Nov '09Published on: 13 Nov '09Published in: Physical review. E, Statistical, nonlinear, and soft matter physics



Abstract

In the literature, there are five distinct fragmented sets of analytic predictions for the scaling behavior at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.