Derivation of the Casimir contribution to the binding potential for 3D wetting

The renormalisation group theory of critical and tri-critical wetting transitions in three-dimensional systems with short-ranged forces, based on analysis of an effective Hamiltonian with an interfacial binding potential (Formula presented.), predicts very strong non-universal critical singularities...

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Detalles Bibliográficos
Autores: Squarcini, Alessio, Romero Enrique, José Manuel, Parry, Andrew O.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/148141
Acceso en línea:https://hdl.handle.net/11441/148141
https://doi.org/10.1080/00268976.2023.2193654
Access Level:acceso abierto
Palabra clave:Casimir forces
Fluctuations
Wetting
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spelling Derivation of the Casimir contribution to the binding potential for 3D wettingSquarcini, AlessioRomero Enrique, José ManuelParry, Andrew O.Casimir forcesFluctuationsWettingThe renormalisation group theory of critical and tri-critical wetting transitions in three-dimensional systems with short-ranged forces, based on analysis of an effective Hamiltonian with an interfacial binding potential (Formula presented.), predicts very strong non-universal critical singularities. These, however, have famously not been observed in extensive Monte Carlo simulations of the transitions in the simple cubic Ising model. Here, we show that previous treatments have missed an entropic, or low-temperature Casimir, contribution to the binding potential, arising from the many different microscopic configurations which correspond to a given interfacial one. We derive the full binding potential, including the Casimir correction term, starting from a microscopic Landau–Ginzburg–Wilson Hamiltonian, using a continuum transfer-matrix (path-integral) method. This is illustrated first in one dimension before generalising to arbitrary dimension. The Casimir contribution is qualitatively different for first-order, critical and tri-critical wetting transitions and substantially alters previous predictions for critical singularities bringing them much closer to the simulation results.Ministerio de Ciencia e Innovación PID2021-126348NB-I00Junta de Andalucía US-1380729, P20_00816Taylor & FrancisFísica Atómica, Molecular y NuclearMinisterio de Ciencia e Innovación (MICIN). EspañaJunta de Andalucía2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/148141https://doi.org/10.1080/00268976.2023.2193654reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMolecular Physics, e2193654.PID2021-126348NB-I00US-1380729P20_00816https://doi.org/10.1080/00268976.2023.2193654info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1481412026-06-17T12:51:07Z
dc.title.none.fl_str_mv Derivation of the Casimir contribution to the binding potential for 3D wetting
title Derivation of the Casimir contribution to the binding potential for 3D wetting
spellingShingle Derivation of the Casimir contribution to the binding potential for 3D wetting
Squarcini, Alessio
Casimir forces
Fluctuations
Wetting
title_short Derivation of the Casimir contribution to the binding potential for 3D wetting
title_full Derivation of the Casimir contribution to the binding potential for 3D wetting
title_fullStr Derivation of the Casimir contribution to the binding potential for 3D wetting
title_full_unstemmed Derivation of the Casimir contribution to the binding potential for 3D wetting
title_sort Derivation of the Casimir contribution to the binding potential for 3D wetting
dc.creator.none.fl_str_mv Squarcini, Alessio
Romero Enrique, José Manuel
Parry, Andrew O.
author Squarcini, Alessio
author_facet Squarcini, Alessio
Romero Enrique, José Manuel
Parry, Andrew O.
author_role author
author2 Romero Enrique, José Manuel
Parry, Andrew O.
author2_role author
author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
Ministerio de Ciencia e Innovación (MICIN). España
Junta de Andalucía
dc.subject.none.fl_str_mv Casimir forces
Fluctuations
Wetting
topic Casimir forces
Fluctuations
Wetting
description The renormalisation group theory of critical and tri-critical wetting transitions in three-dimensional systems with short-ranged forces, based on analysis of an effective Hamiltonian with an interfacial binding potential (Formula presented.), predicts very strong non-universal critical singularities. These, however, have famously not been observed in extensive Monte Carlo simulations of the transitions in the simple cubic Ising model. Here, we show that previous treatments have missed an entropic, or low-temperature Casimir, contribution to the binding potential, arising from the many different microscopic configurations which correspond to a given interfacial one. We derive the full binding potential, including the Casimir correction term, starting from a microscopic Landau–Ginzburg–Wilson Hamiltonian, using a continuum transfer-matrix (path-integral) method. This is illustrated first in one dimension before generalising to arbitrary dimension. The Casimir contribution is qualitatively different for first-order, critical and tri-critical wetting transitions and substantially alters previous predictions for critical singularities bringing them much closer to the simulation results.
publishDate 2023
dc.date.none.fl_str_mv 2023
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://hdl.handle.net/11441/148141
https://doi.org/10.1080/00268976.2023.2193654
url https://hdl.handle.net/11441/148141
https://doi.org/10.1080/00268976.2023.2193654
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Molecular Physics, e2193654.
PID2021-126348NB-I00
US-1380729
P20_00816
https://doi.org/10.1080/00268976.2023.2193654
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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