Measures of critical exponents in the four-dimensional site percolation

Ballesteros, H. G.Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, AntonioParisi, G.Ruiz Lorenzo, J. J.2023-06-202023-06-20@ 1997 Pub1997-05-15Ballesteros, H. G., et al. «Measures of Critical Exponents in the Four-Dimensional Site Percolation». Physics Letters B, vol. 400, n.o 3-4, mayo de 1997, pp. 346-51. DOI.org (Crossref), https://doi.org/10.1016/S0370-2693(97)00337-7.1) D. Stauffer, A. Aharony, An Introduction to the Percolation Theory (Taylor & Francis, London, 1994). 2) P.W. Kasteleyn, C.M. Fortuin, J. Phys. Sot. Japan, 26 (Suppl) (1969) 11. 3) O.F. de Alcántara, J.E. Kirkham, A.J. McKane, J. Phys. A, 13 (1980) L247 -- ibid., 14 (1981) 2391 and references therein. 4) B. Nienhuis, J. Phys. A, 15 (1982) 199. 5) G. Parisi, E. Fucito, J. Phys. A, 14 (1981) L507. 6) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378 ( 1996) 207 -- ibid., B, 387 ( 1996) 125 -- ibid., Nucl. Phys. B, 483 (1997). 7) G. Parisi, J.J. Ruiz-Lorenzo, J. Phys. A, 28 (1995) L395. 8) D.J. Amit, Field Theory, the Renormalization Group and Critical Phenomena, 2nd Ed. (World Scientific, Singapore, 1984). 9) G. Parisi, Field Theory, Disorder and Simulations (World Scientific, Singapore, 1994). 10) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, work in progress. 11) G. Parisi, F. Rapuano, Phys. Lett. B, 157 (1985) 301. 12) G. Harris, Nucl. Phys. B, 418 (1994) 278. 13) F. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210 (1989) 210. 14) K. Binder, Z. Phys. B, 43 (1981) 119. 15) J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1993).0370-269310.1016/S0370-2693(97)00337-7https://hdl.handle.net/20.500.14352/60087Using finite-size scaling methods we measure the thermal and magnetic exponents of the site percolation in four dimensions, obtaining a value for the anomalous dimension very different from the results found in the literature. We also obtain the leading corrections-to-scaling exponent and, with great accuracy, the critical density.engMeasures of critical exponents in the four-dimensional site percolationjournal articlehttp://doi.org/10.1016/S0370-2693(97)00337-7http://www.sciencedirect.com/open access5351-73Ising-model.Física (Física)Física-Modelos matemáticos22 Física