Griffiths singularities in the two dimensional diluted Ising model

Details Griffiths singularities in the two dimensional diluted Ising model Griffiths singularities in the two dimensional diluted Ising model

1996-07-13

arxiv.org/abs/cond-mat/9607091v2

J.Phys.A30:485-494,1997

Physics

Condensed Matter

11 pages and 4 figures, some minor changes in Fig. 4, available at http://chimera.roma1.infn.it/index_papers_complex.html

Scientific paper

10.1088/0305-4470/30/2/014

We study numerically the probability distribution of the Yang-Lee zeroes inside the Griffiths phase for the two dimensional site diluted Ising model and we check that the shape of this distribution is that predicted in previous analytical works. By studying the finite size scaling of the averaged smallest zero at the phase transition we extract, for two values of the dilution, the anomalous dimension, $\eta$, which agrees very well with the previous estimated values.

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