The magnetization at high temperature for a p-spin interaction model with external field
This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to t...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/216549 |
| Acceso en línea: | https://hdl.handle.net/2445/216549 |
| Access Level: | acceso abierto |
| Palabra clave: | Mecànica estadística Processos gaussians Camps aleatoris Statistical mechanics Gaussian processes Random fields |
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The magnetization at high temperature for a p-spin interaction model with external fieldMárquez, David (Márquez Carreras)Mecànica estadísticaProcessos gaussiansCamps aleatorisStatistical mechanicsGaussian processesRandom fieldsThis paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that $\left\langle\sigma_1\right\rangle, \ldots,\left\langle\sigma_n\right\rangle$ are asymptotically independent.2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/216549Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.4064/am34-1-82007, vol. 34, num.1, p. 97-111https://doi.org/10.4064/am34-1-8cc-by (c) Márquez-Carreras, D., 2007http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2165492026-05-27T06:46:51Z |
| dc.title.none.fl_str_mv |
The magnetization at high temperature for a p-spin interaction model with external field |
| title |
The magnetization at high temperature for a p-spin interaction model with external field |
| spellingShingle |
The magnetization at high temperature for a p-spin interaction model with external field Márquez, David (Márquez Carreras) Mecànica estadística Processos gaussians Camps aleatoris Statistical mechanics Gaussian processes Random fields |
| title_short |
The magnetization at high temperature for a p-spin interaction model with external field |
| title_full |
The magnetization at high temperature for a p-spin interaction model with external field |
| title_fullStr |
The magnetization at high temperature for a p-spin interaction model with external field |
| title_full_unstemmed |
The magnetization at high temperature for a p-spin interaction model with external field |
| title_sort |
The magnetization at high temperature for a p-spin interaction model with external field |
| dc.creator.none.fl_str_mv |
Márquez, David (Márquez Carreras) |
| author |
Márquez, David (Márquez Carreras) |
| author_facet |
Márquez, David (Márquez Carreras) |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Mecànica estadística Processos gaussians Camps aleatoris Statistical mechanics Gaussian processes Random fields |
| topic |
Mecànica estadística Processos gaussians Camps aleatoris Statistical mechanics Gaussian processes Random fields |
| description |
This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a $p$-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that $\left\langle\sigma_i\right\rangle$ (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that $\left\langle\sigma_1\right\rangle, \ldots,\left\langle\sigma_n\right\rangle$ are asymptotically independent. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
| format |
article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/216549 |
| url |
https://hdl.handle.net/2445/216549 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Versió postprint del document publicat a: https://doi.org/10.4064/am34-1-8 2007, vol. 34, num.1, p. 97-111 https://doi.org/10.4064/am34-1-8 |
| dc.rights.none.fl_str_mv |
cc-by (c) Márquez-Carreras, D., 2007 http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
cc-by (c) Márquez-Carreras, D., 2007 http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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application/pdf |
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Articles publicats en revistes (Matemàtiques i Informàtica) reponame:Dipòsit Digital de la UB instname:Universidad de Barcelona |
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Universidad de Barcelona |
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Dipòsit Digital de la UB |
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Dipòsit Digital de la UB |
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1869423113329967104 |
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15.198674 |