Scaling in charged fluids: beyond simple ions

The analytical solution of the Mean Spherical Approximation for a quite general class of interactions is always a function of a reduced set of scaling matrices Γχ. We extend this result to systems with multipolar interactions: We show that for the ion-dipole mixture the thermodynamic excess...

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Bibliographic Details
Date:2001
Main Author: Blum, L.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2001
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120519
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Scaling in charged fluids: beyond simple ions / L. Blum // Condensed Matter Physics. — 2001. — Т. 4, № 4(28). — С. 611-620. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The analytical solution of the Mean Spherical Approximation for a quite general class of interactions is always a function of a reduced set of scaling matrices Γχ. We extend this result to systems with multipolar interactions: We show that for the ion-dipole mixture the thermodynamic excess functions are a functional of this matrix. The result for the entropy is S = −{kV/3π}(F[Γα])α∈χ where F is an algebraic functional of the scaling matrices of irreducible representations χ of the closure of the OrnsteinZernike. The result is also true for arbitrary electrostatic multipolar interactions.