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Critical behavior of three-dimensional disordered Potts models with many states

dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorMuñoz Sudupe, Antonio
dc.contributor.authorotros, ...
dc.date.accessioned2023-06-20T04:13:15Z
dc.date.available2023-06-20T04:13:15Z
dc.date.issued2010-05-05
dc.description© 2010 IOP Publishing Ltd and SISSA. Artículo firmado por 21 autores. Janus has been funded by European Union (FEDER) funds, Diputación General de Aragón (Spain), by a Microsoft Award - Sapienza - Italy, and by Eurotech. We were partially supported by MICINN (Spain), through contracts No. TEC2007-64188, FIS2006-08533-C03, FIS2007-60977, FIS2009-12648-C03 and UCM-Banco de Santander. D. Yllanes and B. Seoane are FPU Fellow (Spain). S.P.-G. was supported by FECYT (Spain). The authors would like to thank the Arénaire team, especially J. Detrey and F. de Dinechin for the VHDL code of the logarithm function 19.
dc.description.abstractWe study the 3D Disordered Potts Model with p = 5 and p = 6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower p values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.
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.sponsorshipEuropean Union (FEDER)
dc.description.sponsorshipDiputación General de Aragón (Spain)
dc.description.sponsorshipMicrosoft Award - Sapienza - Italy
dc.description.sponsorshipEurotech
dc.description.sponsorshipUCM-Banco de Santander
dc.description.sponsorshipFPU Fellow (Spain)
dc.description.sponsorshipFECYT (Spain)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37832
dc.identifier.doi10.1088/1742-5468/2010/05/P05002
dc.identifier.issn1742-5468
dc.identifier.officialurlhttp://doi.org/10.1088/1742-5468/2010/05/P05002
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.relatedurlhttp://arxiv.org/pdf/1002.4288.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45057
dc.journal.titleJournal of statistical mechanics : theory and experiment
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.projectIDTEC2007-64188
dc.relation.projectIDFIS2006-08533-C03
dc.relation.projectIDFIS2007-60977
dc.relation.projectIDFIS2009-12648-C03
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordSpin-glass
dc.subject.keywordFerromagnetic phase
dc.subject.keyword3 dimensions
dc.subject.keywordComputer.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleCritical behavior of three-dimensional disordered Potts models with many states
dc.typejournal article
dcterms.references1) C. Brangian, W. Kob, K. Binder, Europhys. Lett., 53, 756-761 (2001), preprint arXiv:cond-mat/0009475 -- ibid, Phil. Mag. B, 82, 663 (2002), preprint arXiv:cond-mat/0104355 -- ibid, J. Phys. A : Math. Gen., 35, 191 (2002), preprint arXiv:cond-mat/0106314 -- ibid, Europhys. Lett., 59, 546 (2002), preprint arXiv:cond-mat/0202232 -- ibid, J. Phys. A: Math. Gen., 36, (2003) 10847, preprint arXiv:cond-mat/0211195. 2) 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, Comp. Phys. Comm., 178, 208 (2008). 3) F. Belletti, M. Cotallo, A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz-Sudupe, D. Navarro, S. Pérez Gaviro, M. Rossi, J. J. Ruiz-Lorenzo, S. F. Schifano, D. Sciretti, A. Tarancón, R. Tripiccione, J. L. Velasco, G. Zanier, D. Yllanes, Computing in Science & Engineering, 11, 48 (2009). 4) H. Nishimori, M. J. Stefen, Phys. Rev. B, 27, 5644 (1983). -- E. Marinari, S. Mossa, G. Parisi, Phys. Rev. B, 59, 8401 (1999) -- L. A. Fernández, A. Maiorano, V. Martín Mayor, D. Navarro, D. Sciretti, A. Tarancón, J. L. Velasco, Phys. Rev. B, 77, 104432 (2008) -- D. M. Carlucci, Phys. Rev. B, 60, 9862 (1999) -- J.L. Jacobsen, M. Picco, Phys. Rev B, 65, 026113 (2002). 5) L. W. Lee, H. G. Katzgraber, A. P. Young, Phys Rev. B, 74, 104416 (2006). 6) See for example D. J. Amit and V. Martín-Mayor, Field Theory, the Renormalization Group and Critical Phenomena, (World-Scientific, Singapore, third edition, 2005). 7) D. Elderfield, D. Sherrington, J. Phys. C, 16, L497 (1983). -- D. Elderfield, D. Sherrington, J. Phys. C, 16, L971 (1983) -- D. J. Gross, I. Kanter, H. Sompolinsky, Phys. Rev. Lett., 55, 304 (1985). 8) G. Parisi, F. Rapuano, Phys. Lett. B, 157, 301 (1995). 9) M. Tesi, E. Janse van Resburg, E. Orlandini, S. G. Whillington, J. Stat. Phys., 82, 155 (1996) -- K. Hukushima, K. Nemoto, J. Phys. Soc. Jpn., 65, 1604 (1996) -- E. Marinari, Optimized Monte Carlo Methods, in Advances in Computer Simulation, edited by J. Kertész and Imre Kondor (Springer-Verlag, Berlin 1998), preprint arXiv:cond-mat/9612010 -- E. Marinari, G. Parisi, J. J. Ruiz-Lorenzo, Numerical Simulations of Spin Glass Systems in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997). 10) L.A. Fernández, V. Martín-Mayor, S. Pérez-Gaviro, A. Tarancón, A.P. Young Phys. Rev. B, 80, 024422 (2009). 11) A. D. Sokal, Functional Integration. Basis and Applications, lectures given at the 1996 Cargèse Summer School, edited by C. DeWitt-Morette, P. Cartier and A. Folacci (Plenum, New York, USA 1997). 12) H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, Phys. Lett. B, 378, 207 (1996). 13) A. Cruz, L. A. Fernández, A. Gordillo-Guerrero, M. Guidetti, A. Maiorano, F. Mantovani, E. Marinari, V. Martín-Mayor, A. Muñoz 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, A. P. Young, Phys. Rev. B, 79, 184408 (2009). 14) A. Maiorano, V. Martín-Mayor, J. J. Ruiz-Lorenzo, A. Tarancón, Phys. Rev. B, 76, 064435 (2007). 15) H. G. Katzgraber, M. Körner, A. P. Young , Phys. Rev. B, 73, 224432 (2006) 16) M. Hasenbusch, A. Pelissetto, E. Vicari, Phys. Rev. B, 78, (2008) 214205. 17) T. R. Kirkpatrick, P. G. Wolynes, Phys. Rev. B, 36, 8552 (1987). 18) B. Lobe, W. Janke, K. Binder, Eur. Phys. J. B, 7, 283 (1999). 19) J. Detrey, F. de Dinechin, Microprocessors and Microsystems, 31, 537 (2007).
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