On extrapolation of virial coefficients of hard spheres

Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the eleventh to fifteenth virial coefficients are suggested. It has...

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Bibliographic Details
Date:2012
Main Authors: Ončák, M., Malijevský, A., Kolafa, J., Labík, S.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2012
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120273
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On extrapolation of virial coefficients of hard spheres / M. Ončák, A. Malijevský, J. Kolafa, S. Labík // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23004:1-8. — Бібліогр.: 29 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the eleventh to fifteenth virial coefficients are suggested. It has been speculated that the virial coefficients, Bn, beyond B₁₄ may decrease with increasing n, and may reach negative values at large n. The extrapolation techniques may be utilized in other fields of science where the art of extrapolation plays a role.