ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD
The stability of ferromagnetism is studied in the three-dimensional Ising model, in the presence of a static, spatially random magnetic field. An approximation is introduced in which regions with a given spin direction are assumed not to contain smaller clusters of the reverse magnetisation. A combi...
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| 格式: | Journal article |
| 语言: | English |
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1983
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| _version_ | 1826269071532883968 |
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| author | Chalker, J |
| author_facet | Chalker, J |
| author_sort | Chalker, J |
| collection | OXFORD |
| description | The stability of ferromagnetism is studied in the three-dimensional Ising model, in the presence of a static, spatially random magnetic field. An approximation is introduced in which regions with a given spin direction are assumed not to contain smaller clusters of the reverse magnetisation. A combination of the Peierls argument with a rescaling transformation leads to a lower bound for the magnetisation, which is non-zero at low temperatures, provided the random field is not too strong. |
| first_indexed | 2024-03-06T21:19:19Z |
| format | Journal article |
| id | oxford-uuid:40e54ed7-bc22-49d7-9541-ccabf2b4ec1f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:19:19Z |
| publishDate | 1983 |
| record_format | dspace |
| spelling | oxford-uuid:40e54ed7-bc22-49d7-9541-ccabf2b4ec1f2022-03-26T14:40:30ZON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELDJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:40e54ed7-bc22-49d7-9541-ccabf2b4ec1fEnglishSymplectic Elements at Oxford1983Chalker, JThe stability of ferromagnetism is studied in the three-dimensional Ising model, in the presence of a static, spatially random magnetic field. An approximation is introduced in which regions with a given spin direction are assumed not to contain smaller clusters of the reverse magnetisation. A combination of the Peierls argument with a rescaling transformation leads to a lower bound for the magnetisation, which is non-zero at low temperatures, provided the random field is not too strong. |
| spellingShingle | Chalker, J ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title | ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title_full | ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title_fullStr | ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title_full_unstemmed | ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title_short | ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD |
| title_sort | on the lower critical dimensionality of the ising model in a random field |
| work_keys_str_mv | AT chalkerj onthelowercriticaldimensionalityoftheisingmodelinarandomfield |