Many-body functions of nonprimitive electrolytes in one dimension View Full Text


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Article Info

DATE

1990-12

AUTHORS

Fernando Vericat, Lesser Blum

ABSTRACT

The statistical mechanics of a mixture of hard-core ions and dipoles in one dimension, namely, the one-dimensional version of the so-called nonprimitive model of an electrolyte, is considered by stressing the effect of the charge-dipole interactions and the hard-core repulsions on the thermodynamics and, especially, on the many-body functions of the systems. The adaptation of Baxter's generating function technique to this model lets us express the thermodynamic and structural functions in terms of a non-Hermitian generalized Hill-type Hamiltonian. The eigenvalues and eigenfunctions of this differential operator yield, in closed form, then-body correlation functions in the bulk and near the container's walls. We also comment on the screening of the electric fields by the system ions and study the Donnan equilibrium when one of the ionic species in the mixture cannot diffuse through a semipermeable membrane. More... »

PAGES

1161-1185

References to SciGraph publications

  • 1980-11. Structure of gibbs states of one dimensional Coulomb systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1981-10. States of one-dimensional Coulomb systems as simple examples of θ vacua and confinement in JOURNAL OF STATISTICAL PHYSICS
  • 1927-06. Die Beugung von Röntgenstrahlen in Flüssigkeiten als Effekt der Molekülanordnung in ZEITSCHRIFT FÜR PHYSIK A HADRONS AND NUCLEI
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    http://scigraph.springernature.com/pub.10.1007/bf01014370

    DOI

    http://dx.doi.org/10.1007/bf01014370

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