Study of metastable states in the random-field Ising model
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| Title: | Study of metastable states in the random-field Ising model |
|---|---|
| Authors: | Magni, A. magni@ien.it, Basso, V.1 |
| Source: | Journal of Magnetism & Magnetic Materials. Apr2005, Vol. 290-291, p460-463. 4p. |
| Subjects: | Ising model, Phase transitions, Topology, Ferromagnetism |
| Abstract: | Abstract: The random-field Ising model (RFIM) provides a convenient framework to investigate complex energy landscapes. We use an out-of-equilibrium single spin flip dynamics induced by varying the applied field, starting from locally stable configurations . If the configuration considered cannot be reached by a field history from saturation, it is possible to define a set of connected states which is defined as a basin. A whole hierarchy of basins is found when the field is increased outside the limits of the initial basin. The resulting structure has the topology of an oriented graph. The properties of the graph cast new light on properties of the ground state (GS) and the possibility to reach the GS by a field history from saturation. We have numerically determined the graphs in RFIM realizations of finite size in one dimension for arbitrary selected states and for the GS. Remarkable differences between them are found in the critical path of the corresponding graphs, the GS being nearer to the field reachable states than a generic state. [Copyright &y& Elsevier] |
| Copyright of Journal of Magnetism & Magnetic Materials is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 17573390 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Study of metastable states in the random-field Ising model – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Magni%2C+A%2E%22">Magni, A.</searchLink><i> magni@ien.it</i><br /><searchLink fieldCode="AR" term="%22Basso%2C+V%2E%22">Basso, V.</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Magnetism+%26+Magnetic+Materials%22">Journal of Magnetism & Magnetic Materials</searchLink>. Apr2005, Vol. 290-291, p460-463. 4p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ising+model%22">Ising model</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Topology%22">Topology</searchLink><br /><searchLink fieldCode="DE" term="%22Ferromagnetism%22">Ferromagnetism</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: The random-field Ising model (RFIM) provides a convenient framework to investigate complex energy landscapes. We use an out-of-equilibrium single spin flip dynamics induced by varying the applied field, starting from locally stable configurations . If the configuration considered cannot be reached by a field history from saturation, it is possible to define a set of connected states which is defined as a basin. A whole hierarchy of basins is found when the field is increased outside the limits of the initial basin. The resulting structure has the topology of an oriented graph. The properties of the graph cast new light on properties of the ground state (GS) and the possibility to reach the GS by a field history from saturation. We have numerically determined the graphs in RFIM realizations of finite size in one dimension for arbitrary selected states and for the GS. Remarkable differences between them are found in the critical path of the corresponding graphs, the GS being nearer to the field reachable states than a generic state. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Magnetism & Magnetic Materials is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jmmm.2004.11.235 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 4 StartPage: 460 Subjects: – SubjectFull: Ising model Type: general – SubjectFull: Phase transitions Type: general – SubjectFull: Topology Type: general – SubjectFull: Ferromagnetism Type: general Titles: – TitleFull: Study of metastable states in the random-field Ising model Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Magni, A. – PersonEntity: Name: NameFull: Basso, V. IsPartOfRelationships: – BibEntity: Dates: – D: 02 M: 04 Text: Apr2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 03048853 Numbering: – Type: volume Value: 290-291 Titles: – TitleFull: Journal of Magnetism & Magnetic Materials Type: main |
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