RT Journal Article
T1 Measures of critical exponents in the four-dimensional site percolation
A1 Ballesteros, H. G.
A1 Fernández Pérez, Luis Antonio
A1 Martín Mayor, Víctor
A1 Muñoz Sudupe, Antonio
A1 Parisi, G.
A1 Ruiz Lorenzo, J. J.
AB 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.
PB Elsevier Science BV
SN 0370-2693
YR 1997
FD 1997-05-15
LK https://hdl.handle.net/20.500.14352/60087
UL https://hdl.handle.net/20.500.14352/60087
LA eng
NO 1) D. Stauffer, A. Aharony, An Introduction to thePercolation 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 andCritical 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 inprogress.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 CriticalPhenomena (Clarendon Press, Oxford, 1993).
NO @ 1997 Published by Elsevier Science B.V. We thank the CICyT (contracts AEN94-0218, AEN96-1634) for partial financial support, specially for the financing of dedicated Pentium Pro machines where most of the simulations have been done. J.J.R.L. is supported by an EC HMC (ERBFMBICT950429) grant.
NO CICyT, Spain
NO EC HMC
DS Docta Complutense
RD 2 may 2024