Surface effects in Debye screening
type: Item
instance of: scholarly article
title: Surface effects in Debye screening
zbMATH Open document ID: 0608.35065
DOI: 10.1007/BF01209293
author: Paul Federbush
author: Tom Kennedy
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: A thermodynamic system of equally charged, plus and minus, classical particles constrained to move in a (spherical) ball is studied in a region of parameters in which Debye screening takes place. The activities of the two charge species are not taken as necessarily equal. We must deal with two physically interesting surface effects, the formation of a surface charge layer, and long range forces reaching around the outside of the spherical volume. This is an example in as much as 1) general charge species are not considered, 2) the volume is taken as a ball, 3) a simple choice for the short range forces (necessary for stability) is taken. We feel the present system is general enough to exhibit all the interesting physical phenomena, and that the methods used are capable of extension to much more general systems. The techniques herein involve use of the sine-Gordon transformation to get a continuum field problem which in turn is studied via a multi-phase cluster expansion. This route follows other recent rigorous treatments of Debye screening.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 3983755
zbMATH Keywords: thermodynamic system
zbMATH Keywords: region of parameters
zbMATH Keywords: Debye screening
zbMATH Keywords: surface effects
zbMATH Keywords: surface charge layer
zbMATH Keywords: long range forces
zbMATH Keywords: sine-Gordon transformation
zbMATH Keywords: continuum field
zbMATH Keywords: multi-phase cluster expansion
MaRDI profile type: Publication
cites work: Q3809004
cites work: The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
full work available at URL: https://doi.org/10.1007/bf01209293
OpenAlex ID: W2048345639
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description: scientific article; zbMATH DE number 3983755