Integrability of the Nosé-Hoover equation
| dc.contributor.author | Ayubov, Behruz | |
| dc.contributor.examiningcommittee | Schippers, Eric (Mathematics) | |
| dc.contributor.examiningcommittee | Cowan, Craig (Mathematics) | |
| dc.contributor.supervisor | Butler, Leo | |
| dc.date.accessioned | 2023-08-28T17:23:44Z | |
| dc.date.available | 2023-08-28T17:23:44Z | |
| dc.date.issued | 2023-08-22 | |
| dc.date.submitted | 2023-08-22T18:24:38Z | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | Master of Science (M.Sc.) | |
| dc.description.abstract | The Nosé-Hoover thermostat is a widely-used technique in molecular-dynamics simulations for maintaining a canonical ensemble at a desired temperature. The associated differential equation, known as the Nosé-Hoover equation, plays a crucial role in understanding the dynamics of the system. This thesis investigates the integrability of the Nosé-Hoover equations using the Darboux theory of integrability. It presents original proofs of the Darboux non-integrability of these equations (thereby identifying and correcting several major mistakes in the previous work by Adam Mahdi and Claudia Valls. “Integrability of the Nosé–Hoover equation”. In: Journal of Geometry and Physics 61.8 (2011), pp. 1348–1352.). | |
| dc.description.note | October 2023 | |
| dc.description.sponsorship | Dr. Leo Butler | |
| dc.identifier.uri | http://hdl.handle.net/1993/37500 | |
| dc.language.iso | eng | |
| dc.rights | open access | en_US |
| dc.subject | Darboux integrability | |
| dc.subject | First integral | |
| dc.subject | The Nosé-Hoover thermostat | |
| dc.title | Integrability of the Nosé-Hoover equation | |
| dc.type | master thesis | en_US |
| local.subject.manitoba | no | |
| oaire.awardTitle | Fellowship for Education Purposes | |
| project.funder.identifier | https://doi.org/10.13039/100010318 | |
| project.funder.name | University of Manitoba |