Equilibrium states of ferromagnetic abelian lattice systems

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dc.contributor.authorMiekisz, Jaceken
dc.contributor.committeechairSlawny, Josephen
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.committeememberGreenberg, Williamen
dc.contributor.committeememberHagedorn, George A.en
dc.contributor.committeememberThomson, Jamesen
dc.contributor.departmentMathematicsen
dc.date.accessioned2015-06-24T13:35:07Zen
dc.date.available2015-06-24T13:35:07Zen
dc.date.issued1984en
dc.description.abstractFerromagnetic abelian lattice systems are the topic of this paper. Namely, at each site of ZV-invariant lattice is placed a finite abelian group. The interaction is given by any real, negative definite, and translation invariant function on the space of configurations.Algebraic structure of the system is investigated. This allows a complete ยท description of the family of equilibrium states for given. interaction at low temperatures. At the same time it is proven that the low temperature expansion for Gibbs free energy is analytic. It is also shown that it is not necessary to consider gauge models in the case of Zm on ZV lattice.en
dc.description.degreePh. D.en
dc.format.extentv, 90 leaves ;en
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53530en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 11481542en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1984.M545en
dc.subject.lcshLattice theoryen
dc.subject.lcshAbelian groupsen
dc.titleEquilibrium states of ferromagnetic abelian lattice 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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