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Genus-zero Whitham hierarchies in conformal-map dynamics

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dc.contributor.authorMartínez Alonso, Luis
dc.contributor.authorMedina Reus, Elena
dc.date.accessioned2023-06-20T11:02:43Z
dc.date.available2023-06-20T11:02:43Z
dc.date.issued2006-08-26
dc.description©2006 Elsevier B.V. Partially supported by MEC project FIS2005-00319
dc.description.abstractA scheme for solving quasiclassical-string equations is developed to prove that genus-zero hitham hierarchies describe the deformations of planar domains determined by rational conformal-maps. This property is applied in normal matrix models to show that deformations of simply-connected supports of eigenvalues under changes of coupling constants are governed by genus-zero Whitham hierarchies.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/34284
dc.identifier.doi10.1016/j.physletb.2006.08.082
dc.identifier.issn0370-2693
dc.identifier.officialurlhttp://dx.doi.org/10.1016/j.physletb.2006.08.082
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51639
dc.issue.number6
dc.journal.titlePhysics letters B
dc.language.isoeng
dc.page.final473
dc.page.initial466
dc.publisherElsevier Science BV
dc.relation.projectIDFIS2005-00319
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51-73
dc.subject.keywordRandom-matrix ensemble
dc.subject.keywordGrowth
dc.subject.keywordFluid
dc.subject.keywordFlows
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleGenus-zero Whitham hierarchies in conformal-map dynamics
dc.typejournal article
dc.volume.number641
dcterms.references[1] M.Z. Bazant, D. Crowdy, Conformal mapping methods for interfacial dynamics, in: S. Yip (Ed.), Handbook of Materials Modeling, vol. 1, Springer, 2005. [2] P.Ya. Polubarinova-Kochina, Dokl. Acad. Nauk SSSR 47 (1945) 254. [3] P.P. Kufarev, Dokl. Acad. Nauk SSSR 75 (1950) 507. [4] S. Richardson, J. Fluid Mech. 56 (1972) 609. [5] P.W. Wiegmann, P.B. Zabrodin, Commun. Math. Phys. 213 (2000) 523. [6] M. Mineev-Weinstein, P. Wiegmann, A. Zabrodin, Phys. Rev. Lett. 84 (2000) 5106. [7] I. Krichever, M. Mineev-Weinstein, P. Wiegmann, A. Zabrodin, Physica D 198 (2004) 1. [8] A. Zabrodin, Teor. Mat. Fiz. 142 (2005) 197. [9] D. Crowdy, Quadrature domains and fluid dynamics, in: Operator Theory: Advances and Applications, in: A Harold Shapiro Anniversary, vol. 156, Birkhäuser, 2005, p. 113. [10] H.S. Shapiro, The Schwarz Functions and its Generalization to Higher Dimensions, Wiley, New York, 1992. [11] I.M. Krichever, Commun. Pure Appl. Math. 47 (1994) 437. [12] K. Takasaki, Dispersionless integrable hierarchies revisited, Conference on Riemann–Hilbert Problems, Integrability and Asymptotics, http://misgam.sissa.it/ RHPIA/talks/takasaki.pdf, SISSA, Trieste, 2005. [13] L. Martínez Alonso, E. Medina, Phys. Lett. B 610 (2005) 277. [14] R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann, Nucl. Phys. B 700 (2004) 521; R. Teodorescu, E. Bettelheim, O. Agam, A. Zabrodin, P. Wiegmann, Nucl. Phys. B 704 (2005) 407. [15] D. Bensimon, L.P. Kadanoff, S. Liang, B.I. Shraiman, C. Tang, Rev. Mod. Phys. 58 (1986) 977.
dspace.entity.typePublication
relation.isAuthorOfPublication896aafc0-9740-4609-bc38-829f249a0d2b
relation.isAuthorOfPublication.latestForDiscovery896aafc0-9740-4609-bc38-829f249a0d2b

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