Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension

Autores
Rodriguez, Diego Emilio; Bab, Marisa Alejandra; Albano, Ezequiel Vicente
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Extensive Monte Carlo simulations are employed in order to study the dynamic critical behaviour of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form rac{1}{r^{d+sigma}} with sigma=0.75. The critical temperature, as well as the critical exponents, are evaluated from the power-law behaviour of suitable physical observables when the system is quenched from uncorrelated states, corresponding to infinite temperature, to the critical point. These results are compared with those obtained from the dynamic evolution of the system when it is annealed at the critical point from the ordered state. Also, the critical temperature in the infinite interaction limit is obtained by means of a finite-range scalinganalysis of data measured with different truncated-interaction range.All the estimated static critical exponents (gamma / u, eta / u, and 1/ u) are in good agreement with Renormalization Group (RG)results and previously reported numerical data obtained under equilibrium conditions. On the other hand, the dynamic exponent of the initial increase of the magnetization (heta) was close to RG predictions. However, the dynamic exponent z of the time correlation length is slightly different than the RG results likely due to the fact that either it may depend on the specific dynamics used or because the two-loop expansion used in the RG analysis may be insufficient.
Fil: Rodriguez, Diego Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Bab, Marisa Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Materia
Ising Model
Dinámica Critica
Simulaciones Monte Carlo
Interacciones de Largo Alcance
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/236649
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/236649
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimensionRodriguez, Diego EmilioBab, Marisa AlejandraAlbano, Ezequiel VicenteIsing ModelDinámica CriticaSimulaciones Monte CarloInteracciones de Largo Alcancehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Extensive Monte Carlo simulations are employed in order to study the dynamic critical behaviour of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form rac{1}{r^{d+sigma}} with sigma=0.75. The critical temperature, as well as the critical exponents, are evaluated from the power-law behaviour of suitable physical observables when the system is quenched from uncorrelated states, corresponding to infinite temperature, to the critical point. These results are compared with those obtained from the dynamic evolution of the system when it is annealed at the critical point from the ordered state. Also, the critical temperature in the infinite interaction limit is obtained by means of a finite-range scalinganalysis of data measured with different truncated-interaction range.All the estimated static critical exponents (gamma / u, eta / u, and 1/ u) are in good agreement with Renormalization Group (RG)results and previously reported numerical data obtained under equilibrium conditions. On the other hand, the dynamic exponent of the initial increase of the magnetization (heta) was close to RG predictions. However, the dynamic exponent z of the time correlation length is slightly different than the RG results likely due to the fact that either it may depend on the specific dynamics used or because the two-loop expansion used in the RG analysis may be insufficient.Fil: Rodriguez, Diego Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Bab, Marisa Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaFil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaIOP Publishing2011-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/236649Rodriguez, Diego Emilio; Bab, Marisa Alejandra; Albano, Ezequiel Vicente; Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 9; 9-2011; 90071-9007171742-5468CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1742-5468/2011/09/P09007info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/09/P09007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:02Zoai:ri.conicet.gov.ar:11336/236649instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:09:03.261CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
title Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
spellingShingle Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
Rodriguez, Diego Emilio
Ising Model
Dinámica Critica
Simulaciones Monte Carlo
Interacciones de Largo Alcance
title_short Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
title_full Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
title_fullStr Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
title_full_unstemmed Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
title_sort Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension
dc.creator.none.fl_str_mv Rodriguez, Diego Emilio
Bab, Marisa Alejandra
Albano, Ezequiel Vicente
author Rodriguez, Diego Emilio
author_facet Rodriguez, Diego Emilio
Bab, Marisa Alejandra
Albano, Ezequiel Vicente
author_role author
author2 Bab, Marisa Alejandra
Albano, Ezequiel Vicente
author2_role author
author
dc.subject.none.fl_str_mv Ising Model
Dinámica Critica
Simulaciones Monte Carlo
Interacciones de Largo Alcance
topic Ising Model
Dinámica Critica
Simulaciones Monte Carlo
Interacciones de Largo Alcance
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Extensive Monte Carlo simulations are employed in order to study the dynamic critical behaviour of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form rac{1}{r^{d+sigma}} with sigma=0.75. The critical temperature, as well as the critical exponents, are evaluated from the power-law behaviour of suitable physical observables when the system is quenched from uncorrelated states, corresponding to infinite temperature, to the critical point. These results are compared with those obtained from the dynamic evolution of the system when it is annealed at the critical point from the ordered state. Also, the critical temperature in the infinite interaction limit is obtained by means of a finite-range scalinganalysis of data measured with different truncated-interaction range.All the estimated static critical exponents (gamma / u, eta / u, and 1/ u) are in good agreement with Renormalization Group (RG)results and previously reported numerical data obtained under equilibrium conditions. On the other hand, the dynamic exponent of the initial increase of the magnetization (heta) was close to RG predictions. However, the dynamic exponent z of the time correlation length is slightly different than the RG results likely due to the fact that either it may depend on the specific dynamics used or because the two-loop expansion used in the RG analysis may be insufficient.
Fil: Rodriguez, Diego Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Bab, Marisa Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
description Extensive Monte Carlo simulations are employed in order to study the dynamic critical behaviour of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form rac{1}{r^{d+sigma}} with sigma=0.75. The critical temperature, as well as the critical exponents, are evaluated from the power-law behaviour of suitable physical observables when the system is quenched from uncorrelated states, corresponding to infinite temperature, to the critical point. These results are compared with those obtained from the dynamic evolution of the system when it is annealed at the critical point from the ordered state. Also, the critical temperature in the infinite interaction limit is obtained by means of a finite-range scalinganalysis of data measured with different truncated-interaction range.All the estimated static critical exponents (gamma / u, eta / u, and 1/ u) are in good agreement with Renormalization Group (RG)results and previously reported numerical data obtained under equilibrium conditions. On the other hand, the dynamic exponent of the initial increase of the magnetization (heta) was close to RG predictions. However, the dynamic exponent z of the time correlation length is slightly different than the RG results likely due to the fact that either it may depend on the specific dynamics used or because the two-loop expansion used in the RG analysis may be insufficient.
publishDate 2011
dc.date.none.fl_str_mv 2011-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/236649
Rodriguez, Diego Emilio; Bab, Marisa Alejandra; Albano, Ezequiel Vicente; Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 9; 9-2011; 90071-900717
1742-5468
CONICET Digital
CONICET
url http://hdl.handle.net/11336/236649
identifier_str_mv Rodriguez, Diego Emilio; Bab, Marisa Alejandra; Albano, Ezequiel Vicente; Study of the nonequilibrium critical quenching and the annealing dynamics for the long-range Ising model in one dimension; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 9; 9-2011; 90071-900717
1742-5468
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1742-5468/2011/09/P09007
info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/09/P09007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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