Distribution of a liquid and the effective potential in a bounded system with special geometry

A. N. Vasiliev^ab, A. V. Kulish<sup>a

a</sup> Taras Shevchenko National University of Kyiv, Kiev, Ukraine
^b Ukraine National Technological University "KPI", Kiev, Ukraine

Abstract: We evaluate the density of the distribution of a liquid bounded by a system of coaxial cylinders with a fixed near-wall potential. The problem is solved in the smooth-inhomogeneity approximation for a near-wall potential of arbitrary type. Based on the obtained solution, we analyze the special case where the near-wall potential is essentially short range and remains constant inside each of the sublayers in its range of action. In this case, we evaluate the effective near-wall potential for which the density distribution is a continuous function in the entire domain.

Keywords: density distribution, near-wall potential, spatially bounded system.

Received: 02.09.2009
Revised: 06.10.2009

DOI: 10.4213/tmf6493

 English version: Theoretical and Mathematical Physics, 2010, 163:1, 531–536

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