Orientational relaxation for small wavevectors of rod-like Brownian particles

We present a theorical study of the kinetic orientational relaxation of a colloidal monodispersed system of stiff and long rods, for small wavevectors. This process is described by the dynamic structure factor. The relationship between this factor with the fluctuations of the second order parameter...

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Detalles Bibliográficos
Autores: ~Ramos-Organillo, E., ~Ruiz-Estrada, H., ~Alarcon-Waess, O.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:México
Institución:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
Repositorio:Revista Mexicana de Física
Idioma:inglés
OAI Identifier:oai:ojs2.rmf.smf.mx:article/377
Acceso en línea:https://rmf.smf.mx/ojs/index.php/rmf/article/view/377
Access Level:acceso abierto
Palabra clave:Orientational relaxation
phase transition
second order parameter
smoluchowski equation
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spelling Orientational relaxation for small wavevectors of rod-like Brownian particles~Ramos-Organillo, E.~Ruiz-Estrada, H.~Alarcon-Waess, O.Orientational relaxationphase transitionsecond order parametersmoluchowski equationWe present a theorical study of the kinetic orientational relaxation of a colloidal monodispersed system of stiff and long rods, for small wavevectors. This process is described by the dynamic structure factor. The relationship between this factor with the fluctuations of the second order parameter is provided in the limit of wavevectors going to zero. The second order parameter is computed with the Smoluchowski formalism, neglecting hydrodynamic interactions, and using the Maier-Saupe potential for the rods interaction. Considering suitable properties, the isothermal orientation susceptibility proposed is able to localize the isotropic and nematic concentrations in qualitative agreement with well known computer simulations results. At relaxation our model predicts a single value for the maximum of the orientation property proposed, which it is reached at different times, according to the concentration.Sociedad Mexicana de Física2017-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rmf.smf.mx/ojs/index.php/rmf/article/view/377Revista Mexicana de Física; Vol. 63 No. 6 Nov-Dec (2017): Revista Mexicana de Física; 531-0Revista Mexicana de Física; Vol. 63 Núm. 6 Nov-Dec (2017): Revista Mexicana de Física; 531-02683-22240035-001Xreponame:Revista Mexicana de Físicainstname:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICOinstacron:UNAMenghttps://rmf.smf.mx/ojs/index.php/rmf/article/view/377/222Copyright (c) 2018 Revista Mexicana de Físicainfo:eu-repo/semantics/openAccessoai:ojs2.rmf.smf.mx:article/3772024-08-16T20:00:51Z
dc.title.none.fl_str_mv Orientational relaxation for small wavevectors of rod-like Brownian particles
title Orientational relaxation for small wavevectors of rod-like Brownian particles
spellingShingle Orientational relaxation for small wavevectors of rod-like Brownian particles
~Ramos-Organillo, E.
Orientational relaxation
phase transition
second order parameter
smoluchowski equation
title_short Orientational relaxation for small wavevectors of rod-like Brownian particles
title_full Orientational relaxation for small wavevectors of rod-like Brownian particles
title_fullStr Orientational relaxation for small wavevectors of rod-like Brownian particles
title_full_unstemmed Orientational relaxation for small wavevectors of rod-like Brownian particles
title_sort Orientational relaxation for small wavevectors of rod-like Brownian particles
dc.creator.none.fl_str_mv ~Ramos-Organillo, E.
~Ruiz-Estrada, H.
~Alarcon-Waess, O.
author ~Ramos-Organillo, E.
author_facet ~Ramos-Organillo, E.
~Ruiz-Estrada, H.
~Alarcon-Waess, O.
author_role author
author2 ~Ruiz-Estrada, H.
~Alarcon-Waess, O.
author2_role author
author
dc.subject.none.fl_str_mv Orientational relaxation
phase transition
second order parameter
smoluchowski equation
topic Orientational relaxation
phase transition
second order parameter
smoluchowski equation
description We present a theorical study of the kinetic orientational relaxation of a colloidal monodispersed system of stiff and long rods, for small wavevectors. This process is described by the dynamic structure factor. The relationship between this factor with the fluctuations of the second order parameter is provided in the limit of wavevectors going to zero. The second order parameter is computed with the Smoluchowski formalism, neglecting hydrodynamic interactions, and using the Maier-Saupe potential for the rods interaction. Considering suitable properties, the isothermal orientation susceptibility proposed is able to localize the isotropic and nematic concentrations in qualitative agreement with well known computer simulations results. At relaxation our model predicts a single value for the maximum of the orientation property proposed, which it is reached at different times, according to the concentration.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://rmf.smf.mx/ojs/index.php/rmf/article/view/377
url https://rmf.smf.mx/ojs/index.php/rmf/article/view/377
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://rmf.smf.mx/ojs/index.php/rmf/article/view/377/222
dc.rights.none.fl_str_mv Copyright (c) 2018 Revista Mexicana de Física
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 Revista Mexicana de Física
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Sociedad Mexicana de Física
publisher.none.fl_str_mv Sociedad Mexicana de Física
dc.source.none.fl_str_mv Revista Mexicana de Física; Vol. 63 No. 6 Nov-Dec (2017): Revista Mexicana de Física; 531-0
Revista Mexicana de Física; Vol. 63 Núm. 6 Nov-Dec (2017): Revista Mexicana de Física; 531-0
2683-2224
0035-001X
reponame:Revista Mexicana de Física
instname:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
instacron:UNAM
instname_str UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
instacron_str UNAM
institution UNAM
reponame_str Revista Mexicana de Física
collection Revista Mexicana de Física
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repository.mail.fl_str_mv
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