Accession Number : ADA138720

Title :   The Ideally Polarizable Interface: A Solvable Model and General Sum Rules.

Descriptive Note : Interim technical rept.,

Corporate Author : PUERTO RICO UNIV RIO PIEDRAS DEPT OF PHYSICS

Personal Author(s) : Rosinberg, M L ; Blum, L

PDF Url : ADA138720

Report Date : Feb 1984

Pagination or Media Count : 67

Abstract : A model for an ideally polarizable interface is proposed where the two sides of the interface are described by two interacting classical one component plasmas of different neutralizing background densities separated by an impermeable membrane. The statistical mechanics of this system is solved exactly in two dimensions at the reduced temperature 2. The one and two body distribution functions, the potential drop, the differential capacity and the interfacial tension are computed. The main feature of this model is that the potential drop and not the surface charge appears as the natural external variable. Several sum rules are discussed, such as the screening theorems for multipoles, the contact theorem, and Lippmann's equation. A general thermodynamic argument shows that these sum rules remain valid in three dimensions and for any value of the coupling parameter. (Author)

Descriptors :   *MATHEMATICAL MODELS, *GAS SURFACE INTERACTIONS, *PLASMAS(PHYSICS), *POLARIZATION, SOLUTIONS(GENERAL), ION ION INTERACTIONS, SURFACE TENSION, THERMODYNAMICS, DISTRIBUTION FUNCTIONS, CHARGED PARTICLES, STATISTICAL MECHANICS, CHARGE DENSITY

Subject Categories : Physical Chemistry
      Statistics and Probability
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE