The isotropic N-vector model in random magnetic fields
| dc.contributor.advisor | Stevenson, Paul M. | |
| dc.creator | Stancu, Ion | |
| dc.date.accessioned | 2009-06-04T00:25:31Z | |
| dc.date.available | 2009-06-04T00:25:31Z | |
| dc.date.issued | 1988 | |
| dc.description.abstract | We have investigated the dynamics of the isotropic N-vector model with long-range exchange couplings in random magnetic fields using a 1/N expansion. The leading order is exactly solved, showing the existence of a ferromagnetic phase separated from the disordered paramagnetic phase by a line. The critical behaviour of the system has been examined in the next-to-leading order of the 1/N expansion, showing that the critical exponents are by no means related to the ones of the pure system in d-2 dimensions. The ordered phase has been also investigated in the next-to-leading order, revealing a typical Goldstone behaviour of the non time-persistent part of the transverse fluctuations. For the longitudinal fluctuations, two different types of coexistence singularities emerge, one from the non time-persistent (as in the pure systems), vanishing with the temperature, and a more divergent one from the time-persistent part of the correlation. | |
| dc.format.extent | 110 p. | en_US |
| dc.format.mimetype | application/pdf | |
| dc.identifier.callno | Thesis Phys. 1988 Stancu | |
| dc.identifier.citation | Stancu, Ion. "The isotropic N-vector model in random magnetic fields." (1988) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13319">https://hdl.handle.net/1911/13319</a>. | |
| dc.identifier.uri | https://hdl.handle.net/1911/13319 | |
| dc.language.iso | eng | |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | |
| dc.subject | Condensed matter physics | |
| dc.title | The isotropic N-vector model in random magnetic fields | |
| dc.type | Thesis | |
| dc.type.material | Text | |
| thesis.degree.department | Physics | |
| thesis.degree.discipline | Natural Sciences | |
| thesis.degree.grantor | Rice University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science |
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