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dc.rights.licenseIn Copyrighten_US
dc.creatorGibbs, Sho Michael
dc.date.accessioned2021-06-09T16:12:00Z
dc.date.available2021-06-09T16:12:00Z
dc.date.created2021
dc.date.issued2021
dc.identifier.urihttps://dspace.wlu.edu/handle/11021/35396
dc.descriptionThesis; [FULL-TEXT FREELY AVAILABLE ONLINE]en_US
dc.descriptionSho Michael Gibbs is a member of the Class of 2021 of Washington and Lee University.en_US
dc.description.abstractWe analyze a class of multi-temperature kinetic Ising models with Glauber dynamics on both one-dimensional lattices and Cayley Trees, focusing on the overall and sublattice magnetizations. Expectation values for one-dimensional systems are determined numerically via ordinary differential equation solvers, and Monte Carlo methods are applied for Cayley Trees. We describe both the relaxation dynamics and non-equilibrium steady state values arising from different temperature patterns and explore common behaviors exhibited by our systems. We also discuss interesting physical analogies arising from the numerical lines of best fit. Finally, we address potential future work on our multi-temperature kinetic Ising model.en_US
dc.description.statementofresponsibilitySho Gibbs
dc.format.extent97 pagesen_US
dc.language.isoen_USen_US
dc.rightsThis material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with the source.en_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en_US
dc.subject.otherWashington and Lee University -- Honors in Physicsen_US
dc.titleAnalytical and Computational Study of Multi-temperature Kinetic Ising Models on Various Graphs (thesis)en_US
dc.typeTexten_US
dc.rights.holderGibbs, Sho Michael
dc.subject.fastIsing modelen_US
dc.subject.fastNonequilibrium thermodynamicsen_US
dc.subject.fastCayley graphsen_US


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