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Sample-to-sample fluctuations of the overlap distributions in the three-dimensional Edwards-Anderson spin glass

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dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMuñoz Sudupe, Antonio
dc.contributor.authorSeoane Bartolomé, Beatriz
dc.contributor.authorYllanes, D.
dc.date.accessioned2023-06-20T04:12:33Z
dc.date.available2023-06-20T04:12:33Z
dc.date.issued2011-11-20
dc.description© 2011 American Physical Society. Artículo firmado por 23 autores. Janus has been funded by European Union (Fondo Europeo de Desarrollo Regional) funds, by Diputación General de Aragón (Spain), by a Microsoft Award-Sapienza-Italy, and by Eurotech. We acknowledge partial financial support from Ministerio de Ciencia e Innovación, Spain (Contracts No. FIS2009-12648-C03, No. FIS2010-16587, and No. TEC2010- 19207), Junta de Extremadura (GR10158), UEx (ACCVII-08), and from UCM-Banco de Santander (GR32/10-A/910383). D. Íñiguez is supported by the Government of Aragon through a Fundación ARAID contract. B. Seoane and D. Yllanes are supported by the Formación del Profesorado Universitario program (Ministerio de Educación, Spain).
dc.description.abstractWe study the sample-to-sample fluctuations of the overlap probability densities from large-scale equilibrium simulations of the three-dimensional Edwards-Anderson spin glass below the critical temperature. Ultrametricity, stochastic stability, and overlap equivalence impose constraints on the moments of the overlap probability densities that can be tested against numerical data. We found small deviations from the Ghirlanda Guerra predictions, which get smaller as system size increases. We also focus on the shape of the overlap distribution, comparing the numerical data to a mean-field-like prediction in which finite-size effects are taken into account by substituting delta functions with broad peaks.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipJunta de Extremadura, Spain
dc.description.sponsorshipUEx
dc.description.sponsorshipUCM-Banco de Santander
dc.description.sponsorshipGovernment of Aragon through a Fundación ARAID
dc.description.sponsorshipFormación del Profesorado Universitario program (Ministerio de Educación, Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37787
dc.identifier.doi10.1103/PhysRevB.84.174209
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.84.174209
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45044
dc.issue.number17
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2009-12648-C03
dc.relation.projectIDFIS2010-16587
dc.relation.projectIDTEC2010-19207
dc.relation.projectIDGR10158
dc.relation.projectIDACCVII-08
dc.relation.projectIDGR32/10-A/910383
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.cdu53
dc.subject.keywordOrdered phase
dc.subject.keywordUltrametricity
dc.subject.keywordSystems
dc.subject.keywordModel.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleSample-to-sample fluctuations of the overlap distributions in the three-dimensional Edwards-Anderson spin glass
dc.typejournal article
dc.volume.number84
dcterms.references1) D. Sherrington, S. Kirkpatrick, Phys. Rev. Lett., 35, 1792 (1975). 2) G. Parisi, J. Phys. A: Math. Gen., 13, 1101 (1980). 3) M. Mézard, G. Parisi, M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987). 4) D. S. Fisher, D. A. Huse, Phys. Rev. Lett., 56, 1601 (1986) -- ibid, Phys. Rev. B, 38, 373 (1988) --- ibid, 38, 386 (1988). 5) E. Marinari, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, F. Zuliani, J. Stat. Phys., 98, 973 (2000). 6) A. Sharma, A. P. Young, Phys. Rev. B, 84, 014428 (2011). 7) F. Guerra, Int. J. Mod. Phys. B, 10, 1675 (1997). 8) M. Aizenman, P. Contucci, J. Stat. Phys., 92, 765 (1998). 9) S. Ghirlanda, F. Guerra, J. Phys. A: Math. Gen., 31, 9149 (1998). 10) G. Parisi, e-print arXiv:cond-mat/9801081. 11) M. Talagrand, Ann. Math., 163, 221 (2006). 12) F. Belletti, et al., (Janus Collaboration), Comput. Phys. Commun., 178, 208 (2008). 13) F. Belletti, et al., Phys. Rev. Lett., 101, 157201 (2008) -- J. Stat. Phys., 135, 1121 (2009). 14) R. Álvarez Baños, et al., (Janus Collaboration), J. Stat. Mech., (2010) P06026. 15) F. Krzakala, O. C. Martin, Phys. Rev. Lett., 85, 3013 (2000). 16) S. F. Edwards, P. W. Anderson, J. Phys. F, 5, 965 (1975) -- ibid, 6, 1927 (1976). 17) D. Íñiguez, G. Parisi, J. J. Ruiz-Lorenzo, J. Phys. A: Math. Gen, 29, 4337 (1996). 18) G. Parisi, F. Ricci-Tersenghi, J. Phys. A: Math. Gen., 33, 113 (2000). 19) G. G. Athanasiu, C. P. Bachas, W. F. Wolff, Phys. Rev. B, 35, 1965 (1987). 20) P. Contucci, C. Giardinà, C. Giberti, G. Parisi, C. Vernia, Phys. Rev. Lett., 99, 057206 (2007). 21) M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, M. Virasoro, Phys. Rev. Lett., 52, 1156 (1984). 22) M. Mézard, G. Parisi, M. A. Virasoro, J. Phys. Lett., 46, 217 (1985). 23) E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B., 58, 14852 (1998). 24) M. Hasenbusch, A. Pelissetto, E. Vicari, J. Stat. Mech., (2008) L02001. 25) M. Hasenbusch, A. Pelissetto, E. Vicari, Phys. Rev. B, 78, 214205 (2008). 26) A. Billoire, L. A. Fernández, A. Maiorano, E. Marinari, V. Martín-Mayor, D. Yllanes, J. Stat. Mech (2011) P10019. 27) L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz Lorenzo, Phys. Rev. Lett., 101, 107203 (2008). 28) This introduces a q-dependent spread, as the Jacobian of the transformation (30) stretches the distribution at high-q values.
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