On extrapolation of virial coefficients of hard spheres
Statistical Mechanics
2012-07-16 v1
Abstract
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, B_n, beyond B_{14} 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.
Keywords
Cite
@article{arxiv.1207.3259,
title = {On extrapolation of virial coefficients of hard spheres},
author = {M. Oncák and A. Malijevský and J. Kolafa and S. Labík},
journal= {arXiv preprint arXiv:1207.3259},
year = {2012}
}
Comments
8 pages, 1 figure