Electronic Resource
Springer
Journal of statistical physics
37 (1984), S. 529-559
ISSN:
1572-9613
Keywords:
Debye-Hückel theory
;
Coulomb systems
;
mean field theory
;
sine-Gordon transformation
;
Mayer expansion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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 Hückel. The proof uses the sine-Gordon transformation, the Mayer expansion, and a correlation inequality.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010494
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