RT Journal Article T1 Critical behavior in the site-diluted three-dimensional three-state Potts model 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 We have studied numerically the effect of quenched site dilution on a weak first-order phase transition in three dimensions. We have simulated the site diluted three-states Potts model studying in detail the secondorder region of its phase diagram. We have found that the n exponent is compatible with the one of the three-dimensional diluted Ising model, whereas the h exponent is definitely different. PB American Physical Society SN 1098-0121 YR 2000 FD 2000-02-01 LK https://hdl.handle.net/20.500.14352/60068 UL https://hdl.handle.net/20.500.14352/60068 LA eng NO 1) A.B. Harris, J. Phys. C, 7, 1671 (1974).2) M. Aizenman, J. Wehr, Phys. Rev. Lett., 62, 2503 (1989).3)H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, J. Phys. A, 32, 1 (1999).4) J. Cardy, J.L. Jacobsen, Phys. Rev. Lett., 79, 4063 (1997) -- J. Cardy, cond-mat/9806355 (unpublished).5) F.Y. Wu, Rev. Mod. Phys., 54, 235 (1982).6) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo (unpublished).7) U. Wolff, Phys. Rev. Lett., 62, 361 (1989).8) R.H. Swendsen, J.S. Wang, Phys. Rev. Lett., 58, 86 (1987).9) M. Falcioni, E. Marinari, M.L. Paciello, G. Parisi, B. Taglienti, Phys. Lett., 108B, 331 (1982) -- A.M. Ferrenberg, R.H. Swendsen, Phys. Rev. Lett., 61, 2635 (1988).10) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Phys. Lett. B, 400, 346 (1997).11) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Nucl. Phys. B, 512[FS], 681 (1998).12) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A.Muñoz Sudupe, Phys. Lett. B, 378, 207 (1996) -- ibid., Nucl. Phys. B, 483, 707 (1997).13) F. Cooper, B. Freedman, D. Preston, Nucl. Phys. B, 210, 210 (1989).14) H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J.J. Ruiz-Lorenzo, Phys. Rev. B, 58, 2740 (1998). NO © 2000 The American Physical Society. We gratefully acknowledge discussions with D. Belanger, J. Cardy and H. Rieger. We are grateful for partial financial support from CICyT (AEN97-1708 and AEN97-1693). The computations have been carried out using the RTNN machines (Universidad de Zaragoza and Universidad Complutense de Madrid) and the ORIGIN2000 at the Centro de Supercomputación Complutense (CSC). NO CICyT, Spain DS Docta Complutense RD 1 sept 2024