The isotropic N-vector model in random magnetic fields

dc.contributor.advisorStevenson, Paul M.en_US
dc.creatorStancu, Ionen_US
dc.date.accessioned2009-06-04T00:25:31Zen_US
dc.date.available2009-06-04T00:25:31Zen_US
dc.date.issued1988en_US
dc.description.abstractWe have investigated the dynamics of the isotropic N-vector model with long-range exchange couplings in random magnetic fields using a 1/N expansion. The leading order is exactly solved, showing the existence of a ferromagnetic phase separated from the disordered paramagnetic phase by a line. The critical behaviour of the system has been examined in the next-to-leading order of the 1/N expansion, showing that the critical exponents are by no means related to the ones of the pure system in d-2 dimensions. The ordered phase has been also investigated in the next-to-leading order, revealing a typical Goldstone behaviour of the non time-persistent part of the transverse fluctuations. For the longitudinal fluctuations, two different types of coexistence singularities emerge, one from the non time-persistent (as in the pure systems), vanishing with the temperature, and a more divergent one from the time-persistent part of the correlation.en_US
dc.format.extent110 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoThesis Phys. 1988 Stancuen_US
dc.identifier.citationStancu, Ion. "The isotropic N-vector model in random magnetic fields." (1988) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13319">https://hdl.handle.net/1911/13319</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/13319en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectCondensed matter physicsen_US
dc.titleThe isotropic N-vector model in random magnetic fieldsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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