Eur. Phys. J. E 1, 67-73
One and two-component hard-core plasmas
R.R. Netz1 - H. Orland2
1 Max-Planck-Institut für Kolloid-und Grenzflächenforschung, Am Mühlenberg, 14424
Potsdam, Germany
2 Service de Physique Théorique, CEA-Saclay, 91191 Gif-sur-Yvette Cedex, France
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received 16 February 1999 and Received in final form 19 July 1999
Abstract
A field theory is presented for particles
which interact via Coulomb and hard-core potentials,
as relevant for classical plasmas, electrolytes, and charged colloidal
solutions.
We apply the method to the one-component plasma
with hard cores (OCPHC), consisting of
identical particles of fixed charge and diameter in
a neutralizing background, and the symmetric two-component
plasma with hard cores (TCPHC),
consisting of equal numbers of positively and negatively
charged particles of identical size. We obtain the
first few coefficients of a systematic low-density
expansion of the free energy for both models exactly
and in closed form.
The OCPHC coefficients go over to
the classical Abe result in the high-charge
(or small hard-core diameter) limit.
The TCPHC, on the
other hand, exhibits diverging coefficients in the
high-charge limit, which is due to the formation of
strongly bound ion-pairs.
PACS
82.70.-y Disperse systems -
52.25.-b Plasma properties -
61.20.Qg Structure of associated liquids: electrolytes, molten salts, etc.
Copyright EDP Sciences, Società Italiana di Fisica, Springer-Verlag
