Asymptotic phase diagrams for lattice spin systems

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dc.contributor.authorTarnawski, Maciejen
dc.contributor.committeechairSlawny, Josephen
dc.contributor.committeememberBrown, E.A.en
dc.contributor.committeememberGreenberg, W.en
dc.contributor.committeememberHagedorn, Georgeen
dc.contributor.committeememberThomson, J.E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2015-06-24T13:35:21Zen
dc.date.available2015-06-24T13:35:21Zen
dc.date.issued1985en
dc.description.abstractWe present a method of constructing the phase diagram at low temperatures, using the low temperature expansions. We consider spin Iattice systems described by a Hamiltonian with a d-dimensional perturbation space. We prove that there is a one-one correspondence between subsets of the phase diagram and extremal elements of some family of convex sets. We also solve a linear programming problem of the phase diagram for a set of affine functionals.en
dc.description.degreePh. D.en
dc.format.extentviii, 111 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53610en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 12876676en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1985.T326en
dc.subject.lcshPhase diagramsen
dc.subject.lcshStatistical physics -- Mathematicsen
dc.subject.lcshLattice theoryen
dc.subject.lcshHamiltonian systemsen
dc.titleAsymptotic phase diagrams for lattice spin systemsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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