Método del Máximo del Cumulante

Autores
Dos Santos, Gonzalo Ramón; Linares, Daniel Humberto; Ramirez Pastor, Antonio Jose
Año de publicación
2019
Idioma
español castellano
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We present a novel method for the determination of the critical point in condensation-evaporation-like phase transitions. The method was originally developed for studying thecondensation phase transition in a monolayer of adsorbed "rigid-rod" particles (k-mers) butit can be extended to other systems. The maximum cumulant method was developed fromthe phenomenological observation that the fourth-order Binder cumulant and the isotherminflection point are produced at the same value of chemical potential. The method wassuccessfully applied to several different systems, showing great precision when compared tosystems with exact analytical solution. In addition, we present mathematical arguments inorder to show analytically that the previously mentioned relationship between the fourth orderBinder cumulant and the isotherm inflection point is satisfied by evaporation-condensationsystems under some general conditions. Numerical results from Monte Carlo simulations offour different adsorption-desorption systems (linear k-mers on square and triangular lattices,S-shaped k-mers on square lattices and k2-mers on square lattices) are presented to checkthe theoretical results and to provide evidence of the general validity and robustness of themethod.
Fil: Dos Santos, Gonzalo Ramón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Linares, Daniel Humberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
104a Reunión de la Asociación Física Argentina
Santa Fe
Argentina
Universidad Nacional del Litoral
CCT Santa Fe
Asociación Física Argentina
Materia
Método
Máximo del Cumulante
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:11336/176545
Acceder
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spelling Método del Máximo del CumulanteDos Santos, Gonzalo RamónLinares, Daniel HumbertoRamirez Pastor, Antonio JoseMétodoMáximo del Cumulantehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a novel method for the determination of the critical point in condensation-evaporation-like phase transitions. The method was originally developed for studying thecondensation phase transition in a monolayer of adsorbed "rigid-rod" particles (k-mers) butit can be extended to other systems. The maximum cumulant method was developed fromthe phenomenological observation that the fourth-order Binder cumulant and the isotherminflection point are produced at the same value of chemical potential. The method wassuccessfully applied to several different systems, showing great precision when compared tosystems with exact analytical solution. In addition, we present mathematical arguments inorder to show analytically that the previously mentioned relationship between the fourth orderBinder cumulant and the isotherm inflection point is satisfied by evaporation-condensationsystems under some general conditions. Numerical results from Monte Carlo simulations offour different adsorption-desorption systems (linear k-mers on square and triangular lattices,S-shaped k-mers on square lattices and k2-mers on square lattices) are presented to checkthe theoretical results and to provide evidence of the general validity and robustness of themethod.Fil: Dos Santos, Gonzalo Ramón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Linares, Daniel Humberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina104a Reunión de la Asociación Física ArgentinaSanta FeArgentinaUniversidad Nacional del LitoralCCT Santa FeAsociación Física ArgentinaAsociación Física Argentina2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectConferenciaBookhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciatext/plainapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/176545Método del Máximo del Cumulante; 104a Reunión de la Asociación Física Argentina; Santa Fe; Argentina; 2019; 369-369CONICET DigitalCONICETspainfo:eu-repo/semantics/altIdentifier/url/https://www.fisica.org.ar/2019/09/06/104a-reunion-de-la-asociacion-fisica-argentina-cuarta-circular/Nacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:08:39Zoai:ri.conicet.gov.ar:11336/176545instacron: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:34982025-09-29 10:08:39.489CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Método del Máximo del Cumulante
title Método del Máximo del Cumulante
spellingShingle Método del Máximo del Cumulante
Dos Santos, Gonzalo Ramón
Método
Máximo del Cumulante
title_short Método del Máximo del Cumulante
title_full Método del Máximo del Cumulante
title_fullStr Método del Máximo del Cumulante
title_full_unstemmed Método del Máximo del Cumulante
title_sort Método del Máximo del Cumulante
dc.creator.none.fl_str_mv Dos Santos, Gonzalo Ramón
Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author Dos Santos, Gonzalo Ramón
author_facet Dos Santos, Gonzalo Ramón
Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author_role author
author2 Linares, Daniel Humberto
Ramirez Pastor, Antonio Jose
author2_role author
author
dc.subject.none.fl_str_mv Método
Máximo del Cumulante
topic Método
Máximo del Cumulante
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a novel method for the determination of the critical point in condensation-evaporation-like phase transitions. The method was originally developed for studying thecondensation phase transition in a monolayer of adsorbed "rigid-rod" particles (k-mers) butit can be extended to other systems. The maximum cumulant method was developed fromthe phenomenological observation that the fourth-order Binder cumulant and the isotherminflection point are produced at the same value of chemical potential. The method wassuccessfully applied to several different systems, showing great precision when compared tosystems with exact analytical solution. In addition, we present mathematical arguments inorder to show analytically that the previously mentioned relationship between the fourth orderBinder cumulant and the isotherm inflection point is satisfied by evaporation-condensationsystems under some general conditions. Numerical results from Monte Carlo simulations offour different adsorption-desorption systems (linear k-mers on square and triangular lattices,S-shaped k-mers on square lattices and k2-mers on square lattices) are presented to checkthe theoretical results and to provide evidence of the general validity and robustness of themethod.
Fil: Dos Santos, Gonzalo Ramón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Linares, Daniel Humberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
104a Reunión de la Asociación Física Argentina
Santa Fe
Argentina
Universidad Nacional del Litoral
CCT Santa Fe
Asociación Física Argentina
description We present a novel method for the determination of the critical point in condensation-evaporation-like phase transitions. The method was originally developed for studying thecondensation phase transition in a monolayer of adsorbed "rigid-rod" particles (k-mers) butit can be extended to other systems. The maximum cumulant method was developed fromthe phenomenological observation that the fourth-order Binder cumulant and the isotherminflection point are produced at the same value of chemical potential. The method wassuccessfully applied to several different systems, showing great precision when compared tosystems with exact analytical solution. In addition, we present mathematical arguments inorder to show analytically that the previously mentioned relationship between the fourth orderBinder cumulant and the isotherm inflection point is satisfied by evaporation-condensationsystems under some general conditions. Numerical results from Monte Carlo simulations offour different adsorption-desorption systems (linear k-mers on square and triangular lattices,S-shaped k-mers on square lattices and k2-mers on square lattices) are presented to checkthe theoretical results and to provide evidence of the general validity and robustness of themethod.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Conferencia
Book
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/176545
Método del Máximo del Cumulante; 104a Reunión de la Asociación Física Argentina; Santa Fe; Argentina; 2019; 369-369
CONICET Digital
CONICET
url http://hdl.handle.net/11336/176545
identifier_str_mv Método del Máximo del Cumulante; 104a Reunión de la Asociación Física Argentina; Santa Fe; Argentina; 2019; 369-369
CONICET Digital
CONICET
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.fisica.org.ar/2019/09/06/104a-reunion-de-la-asociacion-fisica-argentina-cuarta-circular/
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 text/plain
application/pdf
application/pdf
dc.coverage.none.fl_str_mv Nacional
dc.publisher.none.fl_str_mv Asociación Física Argentina
publisher.none.fl_str_mv Asociación Física Argentina
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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