RT Journal Article T1 Off-equilibrium fluctuation-dissipation relations in the 3d Ising spin glass in a magnetic field A1 Cruz, A. A1 Fernández Pérez, Luis Antonio A1 Jiménez, S. A1 Ruiz Lorenzo, J. J. A1 Tarancón, A. AB We study the fluctuation-dissipation relations for a three dimensional Ising spin glass in a magnetic field both in the high temperature phase as well as in the low temperature one. In the region of times simulated we have found that our results support a picture of the low temperature phase with broken replica symmetry, but a droplet behavior cannot be completely excluded. PB American Physical Society SN 1098-0121 YR 2003 FD 2003-06-01 LK https://hdl.handle.net/20.500.14352/51929 UL https://hdl.handle.net/20.500.14352/51929 LA eng NO 1) W. L. McMillan, J. Phys. C 17, 3179 ~1984!; A. J. Bray and M. A.Moore, ibid. 18, L699 ~1985!; G. J. Koper and H. J. Hilhorst, J.Phys. ~Paris! 49, 429 ~1988!; D. S. Fisher and D. A. Huse, Phys.Rev. B 38, 386 ~1988!; ibid. 38, 373 ~1988!.2) K. Binder and P. Young, Rev. Mod. Phys. 58, 801 ~1986!.3) M. Me´zard, G. Parisi, and M. A. Virasoro, Spin Glass Theory andBeyond ~World Scientific, Singapore, 1987!.4) E. Marinari, G. Parisi, F. Ricci-Tersenghi, J. Ruiz-Lorenzo, and F.Zuliani, J. Stat. Phys. 98, 973 ~2000!.5) J. R. L. de Almeida and D. J. Thouless, J. Phys. A 11, 983 ~1978!.6) C. N. Newman and D. S. Stein. cond-mat/0105282 ~unpublished!.7) A. J. Bray and S. A. Roberts, J. Phys. C 13, 5405 ~1980!.8) I. R. Pimentel, T. Temesva´ri, and C. De Dominicis, Phys. Rev. B65, 224420 ~2002!.9) T. Temesva´ri and C. De Dominicis, cond-mat/0207512 ~unpublished!.10) G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev.B 57, 13617 ~1998!.11) E. Marinari, G. Parisi, and F. Zuliani J. Phys. A 31, 1181 ~1998!.12) E. Marinari, G. Parisi, and F. Zuliani, Phys. Rev. Lett. 84, 1056~2000!.13) D. Herisson and M. Ocio, Phys. Rev. Lett. 88, 257202 ~2002!.14) F. Krazakala, J. Houdayer, E. Marinari, O.C. Martin, and G. Parisi,Phys. Rev. Lett. 87, 197204 ~2001!.15) J. Lamarq, J.-P. Bouchaud, and O.C. Martin. cond-mat/0208100~unpublished!.16) S. Caracciolo, G. Parisi, S. Patarnello, and N. Sourlas, Europhys.Lett. 11, 783 ~1990!; J. Phys. ~Paris! 51, 1877 ~1990!. E. R.Grannan and R. E. Hetzel, Phys. Rev. Lett. 67, 907 ~1991!; J. C.Ciria, G. Parisi, F. Ritort, and J. J. Ruiz-Lorenzo, J. Phys. I 3,2207 ~1993!; M. Picco and F. Ritort, ibid. 4, 1619 ~1994!;cond-mat/9702041; E. Marinari, C. Naitza, and F. Zuliani, J.Phys. A 31, 6355 ~1998!.17) E. Marinari, G. Parisi, and J. J. Ruiz-Lorenzo, in Spin Glassesand Random Fields, edited by P. Young ~World Scientific, Singapore,1997!; cond-mat/9701016 ~unpublished!.18) P. Norblad and P. Svendlish, in Spin Glasses and Random Fields~Ref. 17!.19) V. S. Zotev and R. Orbach, cond-mat/0112489 ~unpublished!;cond-mat/0201226 ~unpublished!.20) D. Petit, L. Fruchter, and I. A. Campbell, Phys. Rev. Lett. 83,5130 ~1999!.21) S. Franz and H. Rieger, J. Stat. Phys. 79, 749 ~1995!.22) E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo,J. Phys. A 31, 2611 ~1998!.23) G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Eur. Phys. J.B 10, 317 ~1999!.24) G. Parisi, Phys. Rev. Lett. 79, 3660 ~1997!.25) A. Cruz, J. Pech, A. Taranco´n, P. Te´llez, C. L. Ullod, and C.Ungil, Comput. Phys. Commun. 133, 165 ~2001!.26) H.G. Ballesteros, A. Cruz, L.A. Ferna´ndez, V. Martı´n-Mayor,J. Pech, J.J. Ruiz-Lorenzo, A. Taranco´n, P. Tellez, C.L. Ullod,and C. Ungil, Phys. Rev. B 62, 14237 ~2000!.27) H. Castillo et al., Phys. Rev. Lett. 88, 237201 ~2002!; A. Monatanariand F. Ricci-Tersenghi, cond-mat/0207416 ~unpublished!;G. Parisi, cond-mat/0208070 ~unpublished!.28) L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173~1993!; Philos. Mag. 71, 501 ~1995!; J. Phys. A 27, 5749 ~1994!.29) S. Franz and M. Me´zard, Europhys. Lett. 26, 209 ~1994!.30) A. Baldassarri, L. F. Cugliandolo, J. Kurchan, and G. Parisi, J.Phys. A 28, 1831 ~1995!.31) S. Franz, M. Mezard, G. Parisi, and L. Peliti, Phys. Rev. Lett. 81,1758 ~1998!; J. Stat. Phys. 97, 459 ~1999!.32) G. Parisi and D. J. Thouless, J. Phys. ~France! Lett. 41, L361~1980!.33) A. Barrat and L. Berthier, Phys. Rev. Lett. 87, 087204 ~2001!.34) E. Marinari, G. Parisi, and F. Ricci-Tersenghi, J. Phys. A 33, 2373~2000!. NO © 2003 American Physical Society. We acknowledge partial financial support from CICyT (AEN97-1680, FPA2000-0956, FPA2001-1813 and PB98- 0842) and DGA (P46/97). We also want to acknowledge the contribution of Prof. Domingo González to the development of Spanish physics, and in particular his help to our group, which has been essential to build our dedicated computers. We finally thank Giorgio Parisi for interesting comments. S. J. is a DGA fellow. NO CICyT , Spain NO DGA, Spain DS Docta Complutense RD 6 oct 2024