Condensed Matter Physics, 2001, vol. 4, No. 4(28), p. 611-620, English
DOI:10.5488/CMP.4.4.611

Title: SCALING IN CHARGED FLUIDS: BEYOND SIMPLE IONS
Author(s): L.Blum (Department of Physics P.O. Box 23343, University of Puerto Rico, Rio Piedras, PR 00931-3343)

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 ${\mathbf\Gamma}_\chi$. 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 $S=-\{ {k V}/{3 \pi}\}({\cal F}[{\mathbf\Gamma}_\alpha])_{\alpha\in\chi}$ where ${\cal F}$ is an algebraic functional of the scaling matrices of irreducible representations $\chi$ of the closure of the Ornstein-Zernike. The result is also true for arbitrary electrostatic multipolar interactions.

Key words: Coulomb systems, mean spherical approximation, entropy, ion-dipole mixtures
PACS: 61.20.Gy

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