Static critical properties of the pure and diluted Heisenberg or Ising models
<p>Real space renormalisation group scaling techniques are used to investigate the static critical behaviour of the pure and dilute, classical, anisotropic Heisenberg model.</p> <p>Transfer matrix methods are employed to obtain asymptotically exact expressions for the correlation...
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| Formato: | Tesis |
| Lenguaje: | English |
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1982
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| _version_ | 1826287528932540416 |
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| author | Davies, M Davies, Mathew Raymond |
| author2 | Stinchcombe, R |
| author_facet | Stinchcombe, R Davies, M Davies, Mathew Raymond |
| author_sort | Davies, M |
| collection | OXFORD |
| description | <p>Real space renormalisation group scaling techniques are used to investigate the static critical behaviour of the pure and dilute, classical, anisotropic Heisenberg model.</p> <p>Transfer matrix methods are employed to obtain asymptotically exact expressions for the correlation lengths and susceptibilities of the one-dimensional system. The resulting scaling relationships are combined with an approximate bond moving scheme to treat pure and dilute models in higher dimensionalities.</p> <p>Detailed discussions are given for the dependence of correlation lengths and susceptibilities on temperature, anisotropy and concentration, and fcr the critical temperature on anisotropy and concentration.</p> <p>Particular emphasis is given to the weakly anisotropic system near percolation threshold and comparisons are made between the results of the present analysis and those of neutron-scattering experiments on dilute quasi-two- and three-dimensional systems.</p> |
| first_indexed | 2024-03-07T02:00:02Z |
| format | Thesis |
| id | oxford-uuid:9d0d577a-570e-4ae1-b3d2-aa5f0e1bc7bc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:00:02Z |
| publishDate | 1982 |
| record_format | dspace |
| spelling | oxford-uuid:9d0d577a-570e-4ae1-b3d2-aa5f0e1bc7bc2022-03-27T00:40:11ZStatic critical properties of the pure and diluted Heisenberg or Ising modelsThesishttp://purl.org/coar/resource_type/c_db06uuid:9d0d577a-570e-4ae1-b3d2-aa5f0e1bc7bcHeisenberg uncertainty principleIsing modelEnglishPolonsky Theses Digitisation Project1982Davies, MDavies, Mathew RaymondStinchcombe, RStinchcombe, R<p>Real space renormalisation group scaling techniques are used to investigate the static critical behaviour of the pure and dilute, classical, anisotropic Heisenberg model.</p> <p>Transfer matrix methods are employed to obtain asymptotically exact expressions for the correlation lengths and susceptibilities of the one-dimensional system. The resulting scaling relationships are combined with an approximate bond moving scheme to treat pure and dilute models in higher dimensionalities.</p> <p>Detailed discussions are given for the dependence of correlation lengths and susceptibilities on temperature, anisotropy and concentration, and fcr the critical temperature on anisotropy and concentration.</p> <p>Particular emphasis is given to the weakly anisotropic system near percolation threshold and comparisons are made between the results of the present analysis and those of neutron-scattering experiments on dilute quasi-two- and three-dimensional systems.</p> |
| spellingShingle | Heisenberg uncertainty principle Ising model Davies, M Davies, Mathew Raymond Static critical properties of the pure and diluted Heisenberg or Ising models |
| title | Static critical properties of the pure and diluted Heisenberg or Ising models |
| title_full | Static critical properties of the pure and diluted Heisenberg or Ising models |
| title_fullStr | Static critical properties of the pure and diluted Heisenberg or Ising models |
| title_full_unstemmed | Static critical properties of the pure and diluted Heisenberg or Ising models |
| title_short | Static critical properties of the pure and diluted Heisenberg or Ising models |
| title_sort | static critical properties of the pure and diluted heisenberg or ising models |
| topic | Heisenberg uncertainty principle Ising model |
| work_keys_str_mv | AT daviesm staticcriticalpropertiesofthepureanddilutedheisenbergorisingmodels AT daviesmathewraymond staticcriticalpropertiesofthepureanddilutedheisenbergorisingmodels |