Dipolar Poisson models in a dual view
Type de document :
Article dans une revue scientifique: Article original
DOI :
URL permanente :
Titre :
Dipolar Poisson models in a dual view
Auteur(s) :
Berthoumieux, Hélène [Auteur]
Monet, Geoffrey [Auteur]
Blossey, Ralf [Auteur]
Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Monet, Geoffrey [Auteur]
Blossey, Ralf [Auteur]

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Titre de la revue :
Journal of Chemical Physics
Nom court de la revue :
J. Chem. Phys.
Numéro :
155
Pagination :
024112
Éditeur :
AIP Publishing
Date de publication :
2021-07-12
ISSN :
0021-9606
Discipline(s) HAL :
Sciences du Vivant [q-bio]
Chimie/Chimie théorique et/ou physique
Chimie/Chimie théorique et/ou physique
Résumé en anglais : [en]
In this work, we study the continuum theories of dipolar-Poisson models. Both the standard dipolar-Poisson model and the dipolar-Poisson–Langevin model, which keeps the dipolar density fixed, are non-convex functionals of ...
Lire la suite >In this work, we study the continuum theories of dipolar-Poisson models. Both the standard dipolar-Poisson model and the dipolar-Poisson–Langevin model, which keeps the dipolar density fixed, are non-convex functionals of the scalar electrostatic potential ϕ. Applying the Legendre transform approach introduced by Maggs [Europhys. Lett. 98, 16012 (2012)], the dual functionals of these models are derived and are given by convex vector-field functionals of the dielectric displacement D and the polarization field P. We compare the convex functionals in P-space to the non-convex functionals in electric field E-space and apply them to the classic problem of the solvation of point-like ions. Since the dipolar-Poisson model does not properly describe polarization saturation, we argue that only the dipolar-Poisson–Langevin functional can be used to provide a nonlinear generalization of the harmonic polarization functional used in the theory of Marcus for the electron transfer rate to nonlinear regimes. We show that the model can be quantitatively parameterized by molecular dynamics simulations.Lire moins >
Lire la suite >In this work, we study the continuum theories of dipolar-Poisson models. Both the standard dipolar-Poisson model and the dipolar-Poisson–Langevin model, which keeps the dipolar density fixed, are non-convex functionals of the scalar electrostatic potential ϕ. Applying the Legendre transform approach introduced by Maggs [Europhys. Lett. 98, 16012 (2012)], the dual functionals of these models are derived and are given by convex vector-field functionals of the dielectric displacement D and the polarization field P. We compare the convex functionals in P-space to the non-convex functionals in electric field E-space and apply them to the classic problem of the solvation of point-like ions. Since the dipolar-Poisson model does not properly describe polarization saturation, we argue that only the dipolar-Poisson–Langevin functional can be used to provide a nonlinear generalization of the harmonic polarization functional used in the theory of Marcus for the electron transfer rate to nonlinear regimes. We show that the model can be quantitatively parameterized by molecular dynamics simulations.Lire moins >
Langue :
Anglais
Audience :
Internationale
Vulgarisation :
Non
Établissement(s) :
Université de Lille
CNRS
CNRS
Équipe(s) de recherche :
Computational Molecular Systems Biology
Date de dépôt :
2022-01-24T10:08:17Z
2022-01-24T16:05:27Z
2022-01-24T16:05:27Z
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