Bridging molecular and continuous descriptions: the case of dynamics in clays

Jean-François Dufrêche; Benjamin Rotenberg; Virginie Marry; Pierre Turq

Bridging molecular and continuous descriptions: the case of dynamics in clays

Jean-François Dufrêche ^{1, 2} Benjamin Rotenberg ^{1, 3} Virginie Marry ¹ Pierre Turq ^{1, 2}

1 PHENIX - PHysicochimie des Electrolytes et Nanosystèmes InterfaciauX

2 LMCT - Modélisation Mésoscopique et Chimie Théorique

ICSM - UMR 5257 - Institut de Chimie Séparative de Marcoule

3 ANDRA - Agence Nationale pour la Gestion des Déchets Radioactifs

Abstract : The theory of transport in porous media such as clays depends on the level of description. On the macroscopic scale,hydrodynamics equations are used. These continuous descriptions are convenient to model the fluid motion in a confined system. Nevertheless, they are valid only if the pores of the material are much larger than the molecular size of the components of the system. Another approach consists in using molecular descriptions. These two methods which correspond to different levels of description are complementary. The link between them can be clarified by using a coarse-graining procedure where the microscopic laws are averaged over fast variables to get the long time macroscopic laws. We present such an approach in the case of clays. Firstly, we detail the various levels of description and the relations among them, by emphasizing the validity domain of the hydrodynamic equations. Secondly, we focus on the case of dehydrated clays where hydrodynamics is not relevant. We show that it is possible to derive a simple model for the motion of the cesium ion based on the difference on time scale between the solvent and the solute particles.

Keywords : Brownian model hydrodynamics clays multi-scale modelling molecular dynamics

Type de document :

Article dans une revue

Domaine :

Chimie / Chimie théorique et/ou physique

Chimie / Matériaux

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https://hal.umontpellier.fr/hal-02002618
Contributeur : Magali Duvail <>
Soumis le : mardi 30 avril 2019 - 18:50:20
Dernière modification le : jeudi 4 juillet 2019 - 11:00:08

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