Statistical mechanics of homogeneous partly pinned fluid systems

Vincent Krakoviack
Phys. Rev. E 82, 061501 – Published 2 December 2010

Abstract

The homogeneous partly pinned fluid systems are simple models of a fluid confined in a disordered porous matrix obtained by arresting randomly chosen particles in a one-component bulk fluid or one of the two components of a binary mixture. In this paper, their configurational properties are investigated. It is shown that a peculiar complementarity exists between the mobile and immobile phases, which originates from the fact that the solid is prepared in presence of and in equilibrium with the adsorbed fluid. Simple identities follow, which connect different types of configurational averages, either relative to the fluid-matrix system or to the bulk fluid from which it is prepared. Crucial simplifications result for the computation of important structural quantities, both in computer simulations and in theoretical approaches. Finally, possible applications of the model in the field of dynamics in confinement or in strongly asymmetric mixtures are suggested.

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  • Received 24 June 2010

DOI:https://doi.org/10.1103/PhysRevE.82.061501

©2010 American Physical Society

Authors & Affiliations

Vincent Krakoviack

  • Laboratoire de Chimie, École Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon Cedex 07, France

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Issue

Vol. 82, Iss. 6 — December 2010

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