Measures of critical exponents in the four-dimensional site percolation
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1997
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Elsevier Science BV
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Ballesteros, 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).
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).
Abstract
Using 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.