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Virginia Polytechnic Institute and State University
Asymptotic phase diagrams for lattice spin systems
Abstract
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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1985
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Tarnawski, Maciej
- Chair dc:contributor.committeechair
-
- Slawny, Joseph
- Committee members dc:contributor.committeemember
-
- Brown, E.A.
- Greenberg, W.
- Hagedorn, George
- Thomson, J.E.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/53610
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/53610