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19 April 2024
 
  » arxiv » hep-lat/9707017

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The four dimensional site-diluted Ising model: a finite-size scaling study
H. G. Ballesteros ; L. A. Fernandez ; V. Martin-Mayor ; A. Munoz Sudupe ; G. Parisi ; J. J. Ruiz-Lorenzo ;
Date 16 Jul 1997
Journal Nucl.Phys. B512 (1998) 681-701
Subject High Energy Physics - Lattice; Disordered Systems and Neural Networks | hep-lat cond-mat.dis-nn
AffiliationUniversidad Complutense de Madrid), G. Parisi, and J. J. Ruiz-Lorenzo (Universita di Roma I
AbstractUsing 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.
Source arXiv, hep-lat/9707017
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