Abstract
Charged systems are considered using field theoretic methods which
include fluctuations and correlations via a systematic expansion
in powers of the local electrostatic potential. At the Gaussian level
we recover the classical Debye-Hückel (DH) theory, which is found
to exhibit the full hierarchy of multibody correlations determined
by pair-distribution functions given ty the screened DH potential.
Higher-order corrections can lead to attractive pair interactions
between similarly charged particles in asymmetric ionic environments.
The phase diagram for an ionic fluid shows a critical paint of demixing.
The critical temperature and critical density exhibit pronounced
deviations from DH theory for highly asymmetric ionic systems.
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