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Brownian motion, hydrodynamics, and the osmotic pressure

Brady, John F. (1993) Brownian motion, hydrodynamics, and the osmotic pressure. Journal of Chemical Physics, 98 (4). pp. 3335-3341. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:BRAjcp93a

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Abstract

It is shown that the osmotic pressure of a colloidal dispersion can be interpreted as the isotropic part of the macroscopic particle stress in the suspension. The particle stress is in turn expressible in terms of hydrodynamic interactions among the suspended particles. Thus, there is a completely mechanical definition of the osmotic pressure, just as there is for the pressure in a molecular fluid. For an equilibrium suspension of colloidal particles subjected to thermal Brownian forces, this mechanical definition is shown to be exactly equal to the usual ``thermodynamic'' one. The derivation given here places the equilibrium and nonequilibrium properties of macroparticle fluids on the same mechanical foundation that underlies the statistical mechanics of simple liquids. Furthermore, through this development the relationship between hydrodynamics and kinetic-theory-like descriptions of colloids is explained.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.464105DOIUNSPECIFIED
http://link.aip.org/link/?JCPSA6/98/3335/1PublisherUNSPECIFIED
Additional Information:Copyright © 1993 American Institute of Physics. Received 25 August 1992; accepted 10 November 1992. This work was supported in part by Grant No. CTS-9020646 from the National Science Foundation.
Funders:
Funding AgencyGrant Number
National Science FoundationCTS-9020646
Subject Keywords:BROWNIAN MOVEMENT, HYDRODYNAMICS, OSMOSIS, COLLOIDS, DISPERSIONS, STRESSES, SUSPENSIONS, EQUILIBRIUM
Record Number:CaltechAUTHORS:BRAjcp93a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BRAjcp93a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12439
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:26 Nov 2008 20:27
Last Modified:26 Dec 2012 10:32

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