Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system

Autores
Dammig Quiña, Pablo Leandro; Pastor, Verónica Estela; Irurzun, Isabel María; Mola, Eduardo Elías
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The purpose of this paper is to provide an exact evaluation of the configurational degeneracy when an arbitrary number (k) of dipoles are placed in a quasi-two-dimensional space (Q2D). This Q2D is made up of three contiguous diagonals 3 × N. Our Q2D space gives to the central sites of the lattice their full coordination number of nearest neighboring compartments. We are going to determine the exact configurational degeneracy W(k, N) when an arbitrary number k of the above mentioned particles are placed in this 3 × NQ2D space. We found that W(k, N) is exactly described by W(k, N) = 8W(k-1, N-1) - 8W(k-2, N-2) + W(k, N-1) W(k, N) is a prerequisite to develop analytical methods to study the interaction between an arbitrary set of dipoles (or spins, magnetic domains, heterogeneous diatomic molecules, etc) placed in a Q2D space.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Ciencias Exactas
Química
Dipoles
Configurational degeneracy
Entropy
Partition function
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/141069

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network_name_str SEDICI (UNLP)
spelling Configurational degeneracy of a set of dipoles in a quasi-two-dimensional systemDammig Quiña, Pablo LeandroPastor, Verónica EstelaIrurzun, Isabel MaríaMola, Eduardo ElíasCiencias ExactasQuímicaDipolesConfigurational degeneracyEntropyPartition functionThe purpose of this paper is to provide an exact evaluation of the configurational degeneracy when an arbitrary number (k) of dipoles are placed in a quasi-two-dimensional space (Q2D). This Q2D is made up of three contiguous diagonals 3 × N. Our Q2D space gives to the central sites of the lattice their full coordination number of nearest neighboring compartments. We are going to determine the exact configurational degeneracy W(k, N) when an arbitrary number k of the above mentioned particles are placed in this 3 × NQ2D space. We found that W(k, N) is exactly described by W(k, N) = 8W(k-1, N-1) - 8W(k-2, N-2) + W(k, N-1) W(k, N) is a prerequisite to develop analytical methods to study the interaction between an arbitrary set of dipoles (or spins, magnetic domains, heterogeneous diatomic molecules, etc) placed in a Q2D space.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2010-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf592-600http://sedici.unlp.edu.ar/handle/10915/141069enginfo:eu-repo/semantics/altIdentifier/issn/0259-9791info:eu-repo/semantics/altIdentifier/issn/1572-8897info:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-010-9694-2info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-11-05T13:11:55Zoai:sedici.unlp.edu.ar:10915/141069Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-05 13:11:56.249SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
title Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
spellingShingle Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
Dammig Quiña, Pablo Leandro
Ciencias Exactas
Química
Dipoles
Configurational degeneracy
Entropy
Partition function
title_short Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
title_full Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
title_fullStr Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
title_full_unstemmed Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
title_sort Configurational degeneracy of a set of dipoles in a quasi-two-dimensional system
dc.creator.none.fl_str_mv Dammig Quiña, Pablo Leandro
Pastor, Verónica Estela
Irurzun, Isabel María
Mola, Eduardo Elías
author Dammig Quiña, Pablo Leandro
author_facet Dammig Quiña, Pablo Leandro
Pastor, Verónica Estela
Irurzun, Isabel María
Mola, Eduardo Elías
author_role author
author2 Pastor, Verónica Estela
Irurzun, Isabel María
Mola, Eduardo Elías
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Química
Dipoles
Configurational degeneracy
Entropy
Partition function
topic Ciencias Exactas
Química
Dipoles
Configurational degeneracy
Entropy
Partition function
dc.description.none.fl_txt_mv The purpose of this paper is to provide an exact evaluation of the configurational degeneracy when an arbitrary number (k) of dipoles are placed in a quasi-two-dimensional space (Q2D). This Q2D is made up of three contiguous diagonals 3 × N. Our Q2D space gives to the central sites of the lattice their full coordination number of nearest neighboring compartments. We are going to determine the exact configurational degeneracy W(k, N) when an arbitrary number k of the above mentioned particles are placed in this 3 × NQ2D space. We found that W(k, N) is exactly described by W(k, N) = 8W(k-1, N-1) - 8W(k-2, N-2) + W(k, N-1) W(k, N) is a prerequisite to develop analytical methods to study the interaction between an arbitrary set of dipoles (or spins, magnetic domains, heterogeneous diatomic molecules, etc) placed in a Q2D space.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description The purpose of this paper is to provide an exact evaluation of the configurational degeneracy when an arbitrary number (k) of dipoles are placed in a quasi-two-dimensional space (Q2D). This Q2D is made up of three contiguous diagonals 3 × N. Our Q2D space gives to the central sites of the lattice their full coordination number of nearest neighboring compartments. We are going to determine the exact configurational degeneracy W(k, N) when an arbitrary number k of the above mentioned particles are placed in this 3 × NQ2D space. We found that W(k, N) is exactly described by W(k, N) = 8W(k-1, N-1) - 8W(k-2, N-2) + W(k, N-1) W(k, N) is a prerequisite to develop analytical methods to study the interaction between an arbitrary set of dipoles (or spins, magnetic domains, heterogeneous diatomic molecules, etc) placed in a Q2D space.
publishDate 2010
dc.date.none.fl_str_mv 2010-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/141069
url http://sedici.unlp.edu.ar/handle/10915/141069
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0259-9791
info:eu-repo/semantics/altIdentifier/issn/1572-8897
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10910-010-9694-2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
592-600
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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