Condensed Matter Physics, 2009, vol. 12, No. 2, pp. 137150
DOI:10.5488/CMP.12.2.137
Title:
Spatially confined system interacting with Yukawa potential
Author(s):

M.F. Holovko
(Institute for Condensed Matter Physics NASU, 1 Svientsitskii Street, 79011 Lviv, Ukraine; I. Franko National University of Lviv, Faculty of physics, Dragomanov Str.,12, 79005 Lviv, Ukraine)
,


I.Y. Kravtsiv
(I. Franko National University of Lviv, Faculty of physics, Dragomanov Str.,12, 79005 Lviv, Ukraine)
,


E.M. Soviak
(Institute for Condensed Matter Physics NASU, 1 Svientsitskii Street, 79011 Lviv, Ukraine)

Hard wall confined fluid with Yukawa potential of interaction is considered. A solution of the inhomogeneous OrnsteinZernike equation for the pair correlation function is obtained. The expression for the particle density profile is found by the method of functional differentiation of Helmholtz free energy with respect to the external field. The contribution to the behavior of particle density near the surface comes from the initial potential as well as from the collective screening interaction effects. It is shown that the contact value of the profile satisfies the condition of the contact theorem. Dependence of the adsorption coefficient on the particle density is calculated. It is also shown that in the case of attractive Yukawa interaction the sign of the adsorption coefficient changes with the increase of the particle density.
Key words:
nonhomogeneous OrnsteinZernike equation, hard wall, contact theorem, adsorption coefficient, Yukawa potential
PACS:
05.20.Jj, 05.70.Np, 61.20.p, 68.03.g
Comments: Figs. 2, Refs. 18, Tabs. 0
