Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Dynamical transition in the D=3 Edwards-Anderson spin glass in an external magnetic field

dc.contributor.authorBaity Jesi, Marco
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMuñoz Sudupe, Antonio
dc.date.accessioned2023-06-19T15:01:37Z
dc.date.available2023-06-19T15:01:37Z
dc.date.issued2014-03-31
dc.description© 2014 American Physical Society. Artículo firmado por 24 autores. The Janus project has been partially supported by the EU (FEDER funds, Grant No. UNZA05-33-003, MEC-DGA, Spain); by the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013, ERC Grant agreement N. 247328); by the MICINN (Spain) (Contracts No. FIS2006-08533, No. FIS2012-35719-C02, No. FIS2010-16587, and No. TEC2010-19207); by the SUMA project of INFN (Italy); by CAM (Spain); by the Junta de Extremadura (GR10158); by the Microsoft Prize 2007 and by the European Union (PIRSES-GA-2011-295302). F.R.-T. was supported by the Italian Research Ministry through the FIRB Project No. RBFR086NN1; M.B.-J. was supported by the FPU program (Ministerio de Educación, Spain); R.A.B. and J.M.-G. were supported by the FPI program (Diputación de Aragón, Spain); S.P.-G. was supported by the ARAID foundation; finally, J.M.G.-N. was supported by the FPI program (Ministerio de Ciencia e Innovación, Spain).
dc.description.abstractWe study the off-equilibrium dynamics of the three dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus special-purpose computer, based on field-programmable gate array (FPGAs), we have been able to reach times equivalent to 0.01 s in experiments. We have studied the system relaxation both for high and for low temperatures, clearly identifying a dynamical transition point. This dynamical temperature is strictly positive and depends on the external applied magnetic field. We discuss different possibilities for the underlying physics, which include a thermodynamical spin-glass transition, a mode-coupling crossover, or an interpretation reminiscent of the random first-order picture of structural glasses.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipEU (FEDER funds)
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipINFN (Italy)
dc.description.sponsorshipCAM (Spain)
dc.description.sponsorshipJunta de Extremadura
dc.description.sponsorshipMicrosoft Prize 2007
dc.description.sponsorshipEuropean Union
dc.description.sponsorshipItalian Research Ministry
dc.description.sponsorshipMinisterio de Educación (Spain) under FPU program
dc.description.sponsorshipDiputación de Aragón (Spain) under FPI program
dc.description.sponsorshipARAID foundation
dc.description.sponsorshipMinisterio de Ciencia e Innovación (Spain) under FPI program
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/36929
dc.identifier.doi10.1103/PhysRevE.89.032140
dc.identifier.issn1539-3755
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevE.89.032140
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/35153
dc.issue.number3
dc.journal.titlePhysical review E
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDCriPheRaSy (247328)
dc.relation.projectIDSPIDER (295302)
dc.relation.projectIDFIS2010-16587
dc.relation.projectIDFIS2006-08533
dc.relation.projectIDFIS2012-35719-C02
dc.relation.projectIDUNZA05-33-003
dc.relation.projectIDMEC-DGA
dc.relation.projectIDTEC2010-19207
dc.relation.projectIDSUMA project
dc.relation.projectIDGR10158
dc.relation.projectIDRBFR086NN1
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordReplica symmetry-breaking
dc.subject.keywordSupercooled liquids
dc.subject.keywordForming ligquids
dc.subject.keywordOrdered phase
dc.subject.keywordRelaxation
dc.subject.keywordEquilibrium
dc.subject.keywordComputer
dc.subject.keywordBehavior
dc.subject.keywordModels
dc.subject.keywordState.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleDynamical transition in the D=3 Edwards-Anderson spin glass in an external magnetic field
dc.typejournal article
dc.volume.number89
dcterms.references[1] P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, NJ, 1997). [2] P. G. Debenedetti, F. H. Stillinger, Nature (London), 410, 259 (2001). [3] A. Cavagna, Phys. Rep., 476, 51 (2009). [4] J. A. Mydosh, Spin Glasses: An Experimental Introduction (Taylor and Francis, London, 1993). [5] A. Montanari, G. Semerjian, J. Stat. Phys., 125, 23 (2006). [6] G. Adam, J. H. Gibbs, J. Chem. Phys., 43, 139 (1965). [7] E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, D. A. Weitz, Science, 287, 627 (2000). [8] L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L’Hôte, F. Ladieu, M. Pierno, Science, 310, 1797 (2005). [9] K. Gunnarsson, P. Svedlindh, P. Nordblad, L. Lundgren, H. Aruga, A. Ito, Phys. Rev. B, 43, 8199 (1991). [10] M. Palassini, S. Caracciolo, Phys. Rev. Lett., 82, 5128 (1999). [11] H. G. Ballesteros, A. Cruz, L. A. Fernández, V. Martín-Mayor, J. Pech, J. J. Ruiz-Lorenzo, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, Phys. Rev. B, 62, 14237 (2000). [12] D. Hérisson, M. Ocio, Phys. Rev. Lett., 88, 257202 (2002). [13] Y. G. Joh, R. Orbach, G. G. Wood, J. Hammann, E. Vincent, Phys. Rev. Lett., 82, 438 (1999). [14] F. Bert, V. Dupuis, E. Vincent, J. Hammann, J.-P. Bouchaud, Phys. Rev. Lett., 92, 167203 (2004). [15] A. Cruz, J. Pech, A. Tarancón, P. Téllez, C. L. Ullod, C. Ungil, Comput. Phys. Commun., 133, 165 (2001). [16] A. T. Ogielski, Phys. Rev. B, 32, 7384 (1985). [17] F. Belletti, F. Mantovani, G. Poli, S. F. Schifano, R. Tripiccione, I. Campos, A. Cruz, D. Navarro, S. Pérez-Gaviro, D. Sciretti, A. Tarancón, J. L. Velasco, P. Téllez, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, S. Jiménez, A. Maiorano, E. Marinari, J. J. Ruiz-Lorenzo (Janus Collaboration), Comput. Sci. Eng., 8, 41 (2006). [18] F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz Sudupe, D. Navarro, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco (Janus Collaboration), Comput. Phys. Commun., 178, 208 (2008). [19] F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. M. Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, D. Yllanes (Janus Collaboration), Phys. Rev. Lett., 101, 157201 (2008). [20] F. Belletti, A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín Mayor, J. Monforte, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), J. Stat. Phys., 135, 1121 (2009). [21] R. Álvarez Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), J. Stat. Mech., (2010) P06026. [22] R. Álvarez Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), Phys. Rev. Lett., 105, 177202 (2010). [23] S. Franz, M. Mézard, G. Parisi, L. Peliti, Phys. Rev. Lett., 81, 1758 (1998). [24] J. R. L. de Almeida, D. J. Thouless, J. Phys. A: Math. Gen., 11, 983 (1978). [25] M. Mézard, G. Parisi, M. Virasoro, Spin-Glass Theory and Beyond (World Scientific, Singapore, 1987). [26] E. Marinari, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, F. Zuliani, J. Stat. Phys., 98, 973 (2000). [27] M. A. Moore, B. Drossel, Phys. Rev. Lett., 89, 217202 (2002). [28] C. J. Fullerton, M. A. Moore, arXiv:1304.4420. [29] T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. B, 36, 5388 (1987). [30] T. R. Kirkpatrick, D. Thirumalai, P. G. Wolynes, Phys. Rev. A, 40, 1045 (1989). [31] W. Götze, T. F. Sjögren, Rep. Prog. Phys., 55, 241 (1992). [32] M. Mézard, G. Parisi, Phys. Rev. Lett., 82, 747 (1999). [33] M. Mézard, G. Parisi, J. Chem. Phys., 111, 1076 (1999). [34] B. Coluzzi, G. Parisi, P. Verrocchio, Phys. Rev. Lett., 84, 306 (2000). [35] G. Parisi, T. Rizzo, J. Phys. A: Math. Theor., 43, 235003 (2010). [36] S. Singh, M. Ediger, J. de Pablo, Nat. Mater., 12, 139 (2013). [37] W. L. McMillan, J. Phys. C: Solid State Phys., 17, 3179 (1984). [38] A. J. Bray, M. A. Moore, in Heidelberg Colloquium on Glassy Dynamics, Lecture Notes in Physics No. 275, edited by J. L. van Hemmen and I. Morgenstern (Springer, Berlin, 1987). [39] D. S. Fisher, D. A. Huse, Phys. Rev. Lett., 56, 1601 (1986). [40] D. S. Fisher, D. A. Huse, Phys. Rev. B, 38, 386 (1988). [41] M. A. Moore, A. J. Bray, Phys. Rev. B, 83, 224408 (2011). [42] G. Parisi, T. Temesvári, Nucl. Phys. B, 858, 293 (2012). [43] J. Yeo, M. A. Moore, Phys. Rev. E, 86, 052501 (2012). [44] A. P. Young, H. G. Katzgraber, Phys. Rev. Lett., 93, 207203 (2004). [45] T. Jörg, H. G. Katzgraber, F. Krzakala, Phys. Rev. Lett., 100, 197202 (2008). [46] P. E. Jönsson, H. Takayama, H. A. Katori, A. Ito, Phys. Rev. B, 71, 180412(R) (2005). [47] D. Petit, L. Fruchter, I. A. Campbell, Phys. Rev. Lett., 83, 5130 (1999). [48] D. Petit, L. Fruchter, I. A. Campbell, Phys. Rev. Lett., 88, 207206 (2002). [49] Y. Tabata, K. Matsuda, S. Kanada, T. Yamazaki, T. Waki, H. Nakamura, K. Sato, K. Kindo, J. Phys. Soc. Jpn., 79, 123704 (2010). [50] R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil Narvión, A. Gordillo-Guerrero, M. Guidetti, D. Íñiguez, A. Maiorano, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, P. Téllez, R. Tripiccione, D. Yllanes, Proc. Natl. Acad. Sci. USA, 109, 6452 (2012). [51] G. Kotliar, P. W. Anderson, D. L. Stein, Phys. Rev. B, 27, 602 (1983). [52] D. Larson, H. G. Katzgraber, M. A. Moore, A. P. Young, Phys. Rev. B, 87, 024414 (2013). [53] L. Leuzzi, G. Parisi, Phys. Rev. B, 88, 224204 (2013). [54] C. de Dominicis, I. Giardina, Random Fields and Spin Glasses (Cambridge University Press, Cambridge, England, 2006). [55] G. Parisi, Field Theory, Disorder and Simulations (World Scientific, Singapore, 1994). [56] F. Belletti, M. Guidetti, A. Maiorano, F. Mantovani, S. F. Schifano, R. Tripiccione, M. Cotallo, S. Pérez-Gaviro, D. Sciretti, J. L. Velasco, A. Cruz, D. Navarro, A. Tarancón, L. A. Fernández, V. Martín-Mayor, A. Muñoz-Sudupe, D. Yllanes, A. Gordillo-Guerrero, J. J. Ruiz-Lorenzo, E. Marinari, G. Parisi, M. Rossi, G. Zanier (Janus Collaboration), Comput. Sci. Eng., 11, 48 (2009). [57] M. Baity-Jesi, R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, M. Guidetti, D. Íñiguez, A. Maiorano, F. Mantovani, E. Marinari, V. Martín Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, M. Pivanti, S. Pérez-Gaviro, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, P. Téllez, R. Tripiccione, D. Yllanes, Eur. Phys. J.: Spec. Top., 210, 33 (2012). [58] M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables., 9th ed. (Dover, New York, 1972). [59] A. J. Bray, S. A. Roberts, J. Phys. C: Solid State Phys., 13, 5405 (1980). [60] D. S. Fisher, H. Sompolinsky, Phys. Rev. Lett., 54, 1063 (1985). [61] T. Temesvári, C. De Dominicis, Phys. Rev. Lett., 89, 097204 (2002). [62] T. Temesvári, Phys. Rev. B, 78, 220401 (2008). [63] A. K. Hartmann, Phys. Rev. E, 59, 84 (1999). [64] M. Palassini, A. P. Young, Phys. Rev. Lett., 83, 5126 (1999). [65] S. Boettcher, Eur. Phys. J. B, 38, 83 (2004). [66] M. Palassini, A. P. Young, Phys. Rev. Lett., 85, 3017 (2000). [67] F. Krzakala, O. C. Martin, Phys. Rev. Lett., 85, 3013 (2000). [68] D. Yllanes, arXiv:1111.0266. [69] H. Sompolinsky, A. Zippelius, Phys. Rev. B, 25, 6860 (1982). [70] T. Nattermann, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998). [71] W. Götze, Complex Dynamics of Glass-forming Liquids: A Mode-Coupling Theory (Oxford University Press, New York, 2009). [72] A. Andreanov, G. Biroli, J.-P. Bouchaud, Europhys. Lett., 88, 16001 (2009). [73] S. Franz, H. Jacquin, G. Parisi, P. Urbani, F. Zamponi, J. Chem. Phys., 138, 12A540 (2013). [74] S. Franz, H. Jacquin, G. Parisi, P. Urbani, F. Zamponi, Proc. Natl. Acad. Sci. USA, 109, 18725 (2012). [75] F. Caltagirone, U. Ferrari, L. Leuzzi, G. Parisi, F. RicciTersenghi, T. Rizzo, Phys. Rev. Lett., 108, 085702 (2012). [76] W. Kob, H. C. Andersen, Phys. Rev. Lett., 73, 1376 (1994). [77] V. Lubchenko, P. G. Wolynes, Annu. Rev. Phys. Chem., 58, 235 (2007). [78] T. Jonsson, K. Jonason, P. E. Jönsson, P. Nordblad, Phys. Rev. B, 59, 8770 (1999). [79] G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 57, 13617 (1998). [80] E. Marinari, G. Parisi, F. Zuliani, J. Phys. A: Math. Gen., 31, 1181 (1998). [81] M. Baity-Jesi, R. A. Baños, A. Cruz, L. A. Fernández, J. M. Gil-Narvión, A. Gordillo-Guerrero, D. Íñiguez, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, J. Monforte-García, A. Muñoz Sudupe, D. Navarro, G. Parisi, S. Pérez-Gaviro, M. Pivanti, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, S. F. Schifano, B. Seoane, A. Tarancón, R. Tripiccione, D. Yllanes (Janus Collaboration), Phys. Rev. B, 88, 224416 (2013). [82] S. Franz, G. Parisi, J. Phys.: Condens. Matter, 12, 6335 (2000). [83] T. R. Kirkpatrick, D. Thirumalai, Phys. Rev. A, 37, 4439 (1988). [84] A. Cavagna, T. S. Grigera, P. Verrocchio, Phys. Rev. Lett., 98, 187801 (2007). [85] G. B. J. P. Biroli, A. Cavagna, T. S. Grigera, P. Verrocchio, Nat. Phys., 4, 771 (2008). [86] E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 58, 14852 (1998). [87] P. Contucci, C. Giardinà, Phys. Rev. B, 72, 014456 (2005). [88] P. Contucci, C. Giardinà, C. Giberti, C. Vernia, Phys. Rev. Lett., 96, 217204 (2006). [89] L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, Phys. Rev. Lett., 103, 267201 (2009).
dspace.entity.typePublication
relation.isAuthorOfPublication146096b1-5825-4230-8ad9-b2dad468673b
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication33f82d50-c0e4-4628-a384-f8b256a4a84e
relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
FernándezPérezLuisAntonio01LIBRE.pdf
Size:
1.06 MB
Format:
Adobe Portable Document Format

Collections