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The scaling relations close to the ideal glass transition point in a self-consistent mode coupling model with realistic structural properties are studied. The behavior of the long time limit of the de...
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Theoretical expressions are presented, at various levels of approximation, for the density of states <u() of harmonic modes with imaginary frequencies in liquids; these are also referred to as unst...

Brownian motion, hydrodynamics, and the osmotic pressure

J. Chem. Phys. 98, 3335 (1993); doi:10.1063/1.464105

Issue Date: 15 February 1993

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John F. Brady
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
History: Received 25 August 1992; accepted 10 November 1992
Permalink: http://link.aip.org/link/?JCPSA6/98/3335/1
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KEYWORDS and PACS

Keywords
PACS
  • 82.70.Dd
    Physical chemistry Disperse systems Colloids
  • 82.70.Kj
    Physical chemistry Disperse systems Emulsions and suspensions
  • 05.40.+j
    Statistical physics and thermodynamics Fluctuation phenomena, random processes, and Brownian motion
  • 66.10.Cb
    Transport properties of condensed matter (nonelectronic) Diffusion and ionic conduction in liquids Diffusion and thermal diffusion
  • YEAR: 1993

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PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
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REFERENCES (26)
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