Extension of scaled particle theory to inhomogeneous hard particle fluids. IV. Cavity growth at any distance relative to a planar hard wall

Daniel W. Siderius and David S. Corti
Phys. Rev. E 83, 031126 – Published 22 March 2011

Abstract

A completely generalized version of an inhomogeneous scaled particle theory (I-SPT) for hard particle fluids confined by hard walls is presented, whereby the reversible work of cavity insertion can be determined for a cavity of any radius located at any distance from the hard wall. New exact and approximate conditions on the central function of I-SPT are developed, where is related to the average value of the anisotropic density of hard-sphere centers at the surface of the cavity. The predictions of the work of insertion and the form of are quite accurate up to moderate bulk densities as compared to molecular simulation results. The accuracy of I-SPT begins to decline at high densities, due to limitations of certain needed approximations required for a complete description of . Finally, interesting insights into the origin of depletion effects between a hard-sphere solute and the hard wall are generated via this version of I-SPT. The oscillatory nature of depletion forces, exhibiting both attractive and repulsive domains, is found to arise from the interplay between bulk SPT and I-SPT relations.

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  • Received 23 December 2010

DOI:https://doi.org/10.1103/PhysRevE.83.031126

©2011 American Physical Society

Authors & Affiliations

Daniel W. Siderius* and David S. Corti

  • School of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, USA

  • *Present address: National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, MD 20899, USA.

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Issue

Vol. 83, Iss. 3 — March 2011

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