| dc.rights.license | In Copyright | en_US |
| dc.creator | Gibbs, Sho Michael | |
| dc.date.accessioned | 2021-06-09T16:12:00Z | |
| dc.date.available | 2021-06-09T16:12:00Z | |
| dc.date.created | 2021 | |
| dc.identifier | WLURG38_Gibbs_PHYS_2021 | |
| dc.identifier.uri | http://hdl.handle.net/11021/35396 | |
| dc.description | Thesis; [FULL-TEXT FREELY AVAILABLE ONLINE] | en_US |
| dc.description | Sho Michael Gibbs is a member of the Class of 2021 of Washington and Lee University. | en_US |
| dc.description.abstract | We 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.statementofresponsibility | Sho Gibbs | |
| dc.format.extent | 97 pages | en_US |
| dc.language.iso | en_US | en_US |
| dc.rights | This 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.uri | http://rightsstatements.org/vocab/InC/1.0/ | en_US |
| dc.subject.other | Washington and Lee University -- Honors in Physics | en_US |
| dc.title | Analytical and Computational Study of Multi-temperature Kinetic Ising Models on Various Graphs (thesis) | en_US |
| dc.type | Text | en_US |
| dcterms.isPartOf | RG38 - Student Papers | |
| dc.rights.holder | Gibbs, Sho Michael | |
| dc.subject.fast | Ising model | en_US |
| dc.subject.fast | Nonequilibrium thermodynamics | en_US |
| dc.subject.fast | Cayley graphs | en_US |
| local.department | Physics | en_US |
| local.scholarshiptype | Honors Thesis | en_US |
