Abstract
We study a classical charge symmetric system with an external charge distributionq in three dimensions in the limit that the plasma parameter ɛ→ zero. We prove that ifq is scaled appropriately then the correlation functions converge pointwise to those of an ideal gas in the external mean fieldΨ(x) where Ψ is given by-ΔΨ+ 2z sinh(βΨ) =q This is the mean field equation of Debye and Huckel. The proof uses the sine-Gordon transformation, the Mayer expansion, and a correlation inequality.
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