Geodesic
Distribution of a~liquid and the~effective potential in a~bounded system with special geometry
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 156-162

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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. 
@article{TMF_2010_163_1_a10,
     author = {A. N. Vasiliev and A. V. Kulish},
     title = {Distribution of a~liquid and the~effective potential in a~bounded system with special geometry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {156--162},
     publisher = {mathdoc},
     volume = {163},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a10/}
}
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A. N. Vasiliev; A. V. Kulish. Distribution of a~liquid and the~effective potential in a~bounded system with special geometry. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 156-162. http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a10/