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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 1, Pages 156–162
DOI: https://doi.org/10.4213/tmf6493 (Mi tmf6493) 		 
Distribution of a liquid and the effective potential in a bounded system with special geometry

A. N. Vasilievab, A. V. Kulisha

a Taras Shevchenko National University of Kyiv, Kiev, Ukraine
b Ukraine National Technological University "KPI", Kiev, Ukraine
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DOI: https://doi.org/10.4213/tmf6493
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 1, Pages 531–536
DOI: https://doi.org/10.1007/s11232-010-0041-3
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Document Type: Article
Language: Russian
Citation: A. N. Vasiliev, A. V. Kulish, “Distribution of a liquid and the effective potential in a bounded system with special geometry”, TMF, 163:1 (2010), 156–162; Theoret. and Math. Phys., 163:1 (2010), 531–536
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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