Debye-hückel free energy of an electric double layer with discrete charges located at a dielectric interface

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorNorth Dakota State University-
Autor(es): dc.creatorBossa, Guilherme Volpe [UNESP]-
Autor(es): dc.creatorMay, Sylvio-
Data de aceite: dc.date.accessioned2022-02-22T00:45:46Z-
Data de disponibilização: dc.date.available2022-02-22T00:45:46Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-01-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.3390/membranes11020129-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/205956-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/205956-
Descrição: dc.descriptionPoisson-Boltzmann theory provides an established framework to calculate properties and free energies of an electric double layer, especially for simple geometries and interfaces that carry continuous charge densities. At sufficiently small length scales, however, the discreteness of the surface charges cannot be neglected. We consider a planar dielectric interface that separates a salt-containing aqueous phase from a medium of low dielectric constant and carries discrete surface charges of fixed density. Within the linear Debye-Hückel limit of Poisson-Boltzmann theory, we calculate the surface potential inside a Wigner-Seitz cell that is produced by all surface charges outside the cell using a Fourier-Bessel series and a Hankel transformation. From the surface potential, we obtain the Debye-Hückel free energy of the electric double layer, which we compare with the corresponding expression in the continuum limit. Differences arise for sufficiently small charge densities, where we show that the dominating interaction is dipolar, arising from the dipoles formed by the surface charges and associated counterions. This interaction propagates through the medium of a low dielectric constant and alters the continuum power of two dependence of the free energy on the surface charge density to a power of 2.5 law.-
Descrição: dc.descriptionDepartment of Physics São Paulo State University (UNESP) Institute of Biosciences Humanities and Exact Sciences-
Descrição: dc.descriptionDepartment of Physics North Dakota State University-
Descrição: dc.descriptionDepartment of Physics São Paulo State University (UNESP) Institute of Biosciences Humanities and Exact Sciences-
Formato: dc.format1-13-
Idioma: dc.languageen-
Relação: dc.relationMembranes-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDebye-hückel-
Palavras-chave: dc.subjectDielectric interface-
Palavras-chave: dc.subjectDipole interactions-
Palavras-chave: dc.subjectElectrostatics-
Palavras-chave: dc.subjectFourier-bessel sum-
Palavras-chave: dc.subjectScreened coulomb potential-
Título: dc.titleDebye-hückel free energy of an electric double layer with discrete charges located at a dielectric interface-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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