First Order Phase Transition in a 3D disordered system

Simple item page
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorGordillo Guerrero, A.
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorRuiz Lorenzo, J. J.
dc.date.accessioned2023-06-20T11:17:11Z
dc.date.available2023-06-20T11:17:11Z
dc.date.issued2008
dc.description© 2008 American Institute of Physics. BIFI International Congress (111th. 2008. Zaragoza, Spain). This work has been partially supported by MEC through contracts No. FIS2004-0I399, FIS2006-08533-C03, FIS2007-60977 and by CAM and BSCH. Computer time was obtained at BIFI, UCM and UEx and (~ 50%) in the Mare Nostrum. The authors thankfully acknowledge the computer resources and technical expertise provided by the Barcelona Supercomputing Center.
dc.description.abstractWe present a detailed numerical study on the effects of adding quenched impurities to a three dimensional system which in the pure case undergoes a strong first order phase transition (specifically, the ferromagnetic/paramagnetic transition of the site-diluted four states Potts model). We can state that the transition remains first-order in the presence of quenched disorder (a small amount of it) but it turns out to be second order as more impurities are added. A tricritical point, which is studied by means of Finite-Size Scaling, separates the first-order and second-order parts of the critical line. The results were made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that arise using the standard methodology. We also made use of a recently proposed microcanonical Monte Carlo method in which entropy, instead of free energy, is the basic quantity.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMEC (Spain)
dc.description.sponsorshipCAM (Spain)
dc.description.sponsorshipBSCH
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/38301
dc.identifier.citation1. See e.g., G. Farisi, Field Theory, Disorder and Simulations, World Scientific 1994. 2. L. A. Fernández, A. Gordillo-Guerrero, V. Martín-Mayor, J. J. Ruiz-Lorenzo, Phys. Rev. Lett., 100, 057201 (2008). 3. E. Dagotto, Science, 309, 258 (2005) -- J. Burgy, et al, Phys. Rev. Lett., 87, 277202 (2001) -- ibid, 92, 097202 (2004) -- C. Sen, G. Álvarez, E. Dagotto, Phys. Rev. Lett., 98, 127202 (2007). 4. M. Aizenman, J. Wehr, Phys. Rev. Lett., 62, 2503 (1989) -- K. Hui, A.N. Berker, ibid, 62, 2507 (1989). 5. J. Cardy, J.L. Jacobsen, Phys. Rev. Lett., 79, 4063 (1997) -- ibid, Nucl. Phys. B, 515, 701 (1998). 6. F.Y. Wu, Rev. Mod. Phys., 54, 235 (1982). 7. H. Rieger, A.P. Young, J. Phys. A: Math. Gen., 26, 5279 (1993) -- J. Machta, M.E.J. Newman, L.B. Chayes, Phys. Rev. E, 62, 8782 (2000). 8. H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, J. J. Ruiz-Lorenzo, Phys. Rev. B, 61, 3215 (2000). 9. C. Chatelain, B. Berche, W. Janke, P-E. Berche, Phys. Rev. E, 64, 036120 (2001). 10. C. Chatelain, B. Berche, W. Janke, P-E. Berche, Nucl. Phys. B, 719, 275 (2005). 11. T. Nehaus, J.S. Hager, J. of Stat. Phys., 113, 47 (2003). 12. V. Martín-Mayor, Phys. Rev. Lett., 98, 137207 (2007). 13. R.H. Swendsen, J.-S. Wang, Phys. Rev. Lett., 58, 86 (1987). 14. D. Stauffer, A. Aharony, Introduction to the percolation theory, (Taylor and Francis, London 1984). 15. D. Amit, V. Martín-Mayor, Field Theory, the Renormalization Group, and Critical Phenomena, World-Scientific Singapore 2005. 16. L. A. Fernández, A. Gordillo-Guerrero, V. Martín-Mayor, J. J. Ruiz-Lorenzo, in preparation. 17. H.G. Ballesteros, et al., Nucl. Phys. B, 512, 681 (1998) -- ibid, Phys. Rev. B, 58, 2740 (1998). 18. H.G. Ballesteros, L.A. Fernández, V. Martín-Mayor, A. Muñoz-Sudupe, Phys. Lett. B, 378, 207 (1996) -- ibid, 387, 125 (1996).
dc.identifier.doi10.1063/1.3033359
dc.identifier.issn0094-243x
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.3033359
dc.identifier.relatedurlhttp://scitation.aip.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51917
dc.journal.titleAIP conference proceedings: large scale simulations of complex systems, condensed matter and fusion plasma
dc.language.isoeng
dc.page.final57
dc.page.initial46
dc.publisherAmerican Institute of Physics
dc.relation.projectIDFIS2004-0I399
dc.relation.projectIDFIS2006-08533-C03
dc.relation.projectIDFIS2007-60977
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.cdu51-73
dc.subject.keywordField ising-model
dc.subject.keywordBond Potts models
dc.subject.keywordCritical exponents
dc.subject.keywordCritical-behavior
dc.subject.keywordMonte-Carlo.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleFirst Order Phase Transition in a 3D disordered system
dc.typejournal article
dc.volume.number1071
dspace.entity.typePublication
relation.isAuthorOfPublication146096b1-5825-4230-8ad9-b2dad468673b
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery146096b1-5825-4230-8ad9-b2dad468673b
Download
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
FernándezPérezLuisAntonio26LIBRE.pdf
Size:
557.65 KB
Format:
Adobe Portable Document Format
downoload Download
Collections
Artículos