Auto-organização de aglomerados finitos de dipolos magnéticos carregados

Detalhes bibliográficos
Ano de defesa: 2009
Autor(a) principal: Bezerra, Italo Pereira
Orientador(a): Ferreira, Wandemberg Paiva
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/11928
Resumo: It is studied at this thesis a two-dimensional cluster of magnetic particles, with surface charge, confined by a circular parabolic potential. The particles have the same magnitude of magnetic dipole moment and the same amount and sign of surface charge. The goal of the present study is the characterization of the ground state configurations and the normal mode spectra of the cluster. The numerical study of the system is based on the Monte Carlo simulation technique, using the Metropolis Algorithm. It was also used the called Newton Method technique to reach the ground state configurations . The present study is divided in two parts: i) In the first one, the dependence of the equilibrium configurations and the normal modes is analyzed considering the presence or not of a external magnetic field. The magnetic dipole moment is taken as constant. ii) In the second one, the surface charge and the magnetic dipole moment are taken as constant, and the ground state configurations and the normal modes are studied as function the the external magnetic field intensity. At this part, it is also calculated the magnetization of the system as function of the external magnetic field. It was observed a great number of different ground state configurations, like concentric rings, and chains. The vibrational normal mode frequencies spectra was obtained by using the harmonic approximation. Due to the non-spatial symmetry of the magnetic dipole interaction, the normal modes must show an extra rotational component. It can be noted that due to surface charge of the particles the frequencies spectra can present elevated variation on the intensity. It can also be noted that some properties of the first case system also occurs on the second case system, and these properties are independent of the applied magnetic field, and in the second case system it can be noted that there are less different ground state configurations as compared with the first one.
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spelling Bezerra, Italo PereiraMunarin, Felipe de FreitasFerreira, Wandemberg Paiva2015-05-07T16:51:22Z2015-05-07T16:51:22Z2009BEZERRA, I. P. Auto-organização de aglomerados finitos de dipolos magnéticos carregados. 2009. 65 f. Dissertação (Mestrado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2009.http://www.repositorio.ufc.br/handle/riufc/11928It is studied at this thesis a two-dimensional cluster of magnetic particles, with surface charge, confined by a circular parabolic potential. The particles have the same magnitude of magnetic dipole moment and the same amount and sign of surface charge. The goal of the present study is the characterization of the ground state configurations and the normal mode spectra of the cluster. The numerical study of the system is based on the Monte Carlo simulation technique, using the Metropolis Algorithm. It was also used the called Newton Method technique to reach the ground state configurations . The present study is divided in two parts: i) In the first one, the dependence of the equilibrium configurations and the normal modes is analyzed considering the presence or not of a external magnetic field. The magnetic dipole moment is taken as constant. ii) In the second one, the surface charge and the magnetic dipole moment are taken as constant, and the ground state configurations and the normal modes are studied as function the the external magnetic field intensity. At this part, it is also calculated the magnetization of the system as function of the external magnetic field. It was observed a great number of different ground state configurations, like concentric rings, and chains. The vibrational normal mode frequencies spectra was obtained by using the harmonic approximation. Due to the non-spatial symmetry of the magnetic dipole interaction, the normal modes must show an extra rotational component. It can be noted that due to surface charge of the particles the frequencies spectra can present elevated variation on the intensity. It can also be noted that some properties of the first case system also occurs on the second case system, and these properties are independent of the applied magnetic field, and in the second case system it can be noted that there are less different ground state configurations as compared with the first one.Estuda-se, neste trabalho, aglomerados bidimensionais de partículas dipolares magnéticas, com carga elétrica superficial, confinadas em um potencial parabólico circular. As partículas possuem mesmo módulo de momento de dipolo magnético, assim como mesmos módulo e sinal de carga superficial. O objetivo do presente estudo é a caracterização das configurações do estado fundamental e do espectro dos modos normais do aglomerado. O sistema é estudado numericamente através de simulações Monte Carlo, utilizando o algoritmo de Metropolis. Utilizou-se ainda o chamado Método de Newton Modificado para auxiliar a obtenção das configurações de mínima energia. O estudo é dividido em duas partes: i) Na primeira, a dependência das configurações de equilíbrio e modos normais é analisada em função da carga superficial, na presença e ausência de campo magnético externo, considerando-se o momento de dipolo magnético constante. ii) Na segunda, a carga superficial e o momento de dipolo magnético são fixados e as configurações de equilíbrio e os modos normais são estudados em função da intensidade do campo magnético externo. Nesta parte, calcula-se ainda a magnetização do sistema em função do campo externo. O espectro de frequências dos modos normais de vibração foram obtidos através da técnica de aproximação harmônica. Devido à não-simetria espacial da interação magnética dipolar, os modos normais devem apresentar um componente extra de rotação. Observa-se que para um intervalo característico da carga superficial das partículas, o espectro de frequências sofre uma grande variação de intensidade. Observa-se que no caso dependente da carga, o sistema apresenta características que independem do campo magnético aplicado. Observa-se, no caso dependente do campo aplicado, uma menor variedade de configurações de equilíbrio deste tipo de sistema em relação ao dependente da carga.Método de Monte CarloDipolos magnéticosMétodo de Newton modificadoAuto-organização de aglomerados finitos de dipolos magnéticos carregadosinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisporreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2009_dis_ipbezerra.pdf2009_dis_ipbezerra.pdfapplication/pdf8023171http://repositorio.ufc.br/bitstream/riufc/11928/1/2009_dis_ipbezerra.pdfe47ba0b7e87905fb3b10ff887cc2f1f8MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81786http://repositorio.ufc.br/bitstream/riufc/11928/2/license.txt8c4401d3d14722a7ca2d07c782a1aab3MD52riufc/119282019-06-18 14:44:40.769oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2019-06-18T17:44:40Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Auto-organização de aglomerados finitos de dipolos magnéticos carregados
title Auto-organização de aglomerados finitos de dipolos magnéticos carregados
spellingShingle Auto-organização de aglomerados finitos de dipolos magnéticos carregados
Bezerra, Italo Pereira
Método de Monte Carlo
Dipolos magnéticos
Método de Newton modificado
title_short Auto-organização de aglomerados finitos de dipolos magnéticos carregados
title_full Auto-organização de aglomerados finitos de dipolos magnéticos carregados
title_fullStr Auto-organização de aglomerados finitos de dipolos magnéticos carregados
title_full_unstemmed Auto-organização de aglomerados finitos de dipolos magnéticos carregados
title_sort Auto-organização de aglomerados finitos de dipolos magnéticos carregados
author Bezerra, Italo Pereira
author_facet Bezerra, Italo Pereira
author_role author
dc.contributor.co-advisor.none.fl_str_mv Munarin, Felipe de Freitas
dc.contributor.author.fl_str_mv Bezerra, Italo Pereira
dc.contributor.advisor1.fl_str_mv Ferreira, Wandemberg Paiva
contributor_str_mv Ferreira, Wandemberg Paiva
dc.subject.por.fl_str_mv Método de Monte Carlo
Dipolos magnéticos
Método de Newton modificado
topic Método de Monte Carlo
Dipolos magnéticos
Método de Newton modificado
description It is studied at this thesis a two-dimensional cluster of magnetic particles, with surface charge, confined by a circular parabolic potential. The particles have the same magnitude of magnetic dipole moment and the same amount and sign of surface charge. The goal of the present study is the characterization of the ground state configurations and the normal mode spectra of the cluster. The numerical study of the system is based on the Monte Carlo simulation technique, using the Metropolis Algorithm. It was also used the called Newton Method technique to reach the ground state configurations . The present study is divided in two parts: i) In the first one, the dependence of the equilibrium configurations and the normal modes is analyzed considering the presence or not of a external magnetic field. The magnetic dipole moment is taken as constant. ii) In the second one, the surface charge and the magnetic dipole moment are taken as constant, and the ground state configurations and the normal modes are studied as function the the external magnetic field intensity. At this part, it is also calculated the magnetization of the system as function of the external magnetic field. It was observed a great number of different ground state configurations, like concentric rings, and chains. The vibrational normal mode frequencies spectra was obtained by using the harmonic approximation. Due to the non-spatial symmetry of the magnetic dipole interaction, the normal modes must show an extra rotational component. It can be noted that due to surface charge of the particles the frequencies spectra can present elevated variation on the intensity. It can also be noted that some properties of the first case system also occurs on the second case system, and these properties are independent of the applied magnetic field, and in the second case system it can be noted that there are less different ground state configurations as compared with the first one.
publishDate 2009
dc.date.issued.fl_str_mv 2009
dc.date.accessioned.fl_str_mv 2015-05-07T16:51:22Z
dc.date.available.fl_str_mv 2015-05-07T16:51:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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dc.identifier.citation.fl_str_mv BEZERRA, I. P. Auto-organização de aglomerados finitos de dipolos magnéticos carregados. 2009. 65 f. Dissertação (Mestrado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2009.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/11928
identifier_str_mv BEZERRA, I. P. Auto-organização de aglomerados finitos de dipolos magnéticos carregados. 2009. 65 f. Dissertação (Mestrado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2009.
url http://www.repositorio.ufc.br/handle/riufc/11928
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