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



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Ballesteros, H. G. and Fernández Pérez, Luis Antonio and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Parisi, G. and Ruiz Lorenzo, J. J. (1998) The four-dimensional site-diluted Ising model: A finite-size scaling study. Nuclear physics B, 512 (3). pp. 681-701. ISSN 0550-3213

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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.

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© 1998 Elsevier Science B.V. We thank the CICyT (contracts AEN93-0604, AEN96-1634) for partial financial support, especially for the use of dedicated Pentium Pro machines on which we have carried out the simulations. JJRL is granted by EC HMC (ERBFMBICT950429). We also acknowledge to E. Luijten for pointing out the right scaling of the Binder cumulant in the pure case.

Uncontrolled Keywords:Critical-behavior; Partition-function; Universality; System; Zeros.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:40960
Deposited On:25 Jan 2017 08:39
Last Modified:25 Jan 2017 08:39

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