Summability of the perturbative expansion for a zero-dimensional disordered spin model
We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60330 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/60330 |
| Access Level: | acceso abierto |
| Palabra clave: | 53 Dilute ising-model Systems. Física-Modelos matemáticos |
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Summability of the perturbative expansion for a zero-dimensional disordered spin modelÁlvarez, GabrielMartín Mayor, VíctorRuiz Lorenzo, Juan J.53Dilute ising-modelSystems.Física-Modelos matemáticosWe show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method.IOP PublishingUniversidad Complutense de Madrid20002000-02-1120002000-02-11journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/60330reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/603302026-06-02T12:44:21Z |
| dc.title.none.fl_str_mv |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| title |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| spellingShingle |
Summability of the perturbative expansion for a zero-dimensional disordered spin model Álvarez, Gabriel 53 Dilute ising-model Systems. Física-Modelos matemáticos |
| title_short |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| title_full |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| title_fullStr |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| title_full_unstemmed |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| title_sort |
Summability of the perturbative expansion for a zero-dimensional disordered spin model |
| dc.creator.none.fl_str_mv |
Álvarez, Gabriel Martín Mayor, Víctor Ruiz Lorenzo, Juan J. |
| author |
Álvarez, Gabriel |
| author_facet |
Álvarez, Gabriel Martín Mayor, Víctor Ruiz Lorenzo, Juan J. |
| author_role |
author |
| author2 |
Martín Mayor, Víctor Ruiz Lorenzo, Juan J. |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Universidad Complutense de Madrid |
| dc.subject.none.fl_str_mv |
53 Dilute ising-model Systems. Física-Modelos matemáticos |
| topic |
53 Dilute ising-model Systems. Física-Modelos matemáticos |
| description |
We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method. |
| publishDate |
2000 |
| dc.date.none.fl_str_mv |
2000 2000-02-11 2000 2000-02-11 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/20.500.14352/60330 |
| url |
https://hdl.handle.net/20.500.14352/60330 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 |
| dc.rights.openaire.fl_str_mv |
info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
open access http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
IOP Publishing |
| publisher.none.fl_str_mv |
IOP Publishing |
| dc.source.none.fl_str_mv |
reponame:Docta Complutense instname:Universidad Complutense de Madrid (UCM) |
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Universidad Complutense de Madrid (UCM) |
| reponame_str |
Docta Complutense |
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Docta Complutense |
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1869402707381452800 |
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15,301629 |