Abstract
A new method for obtaining the well-known Karnahan-Starling equation for systems of hard spheres and its generalization for the case of any number of precisely known virial coefficients is proposed. The efficiency of the method for the construction of the statistical thermodynamics of a system of soft spheres, where an analytical expression for free energy and equations of state that agree well with the data of the computer experiment are found, is shown. The considered approach is generalized for systems with a positive definite potential of interaction between particles.
Similar content being viewed by others
References
N. F. Camahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).
N. Clisby and B. M. McCoy, J. Stat. Phys. 122, 15 (2006).
P. N. Nikolaev, Vestn. Mosk. Univ., Fiz. Astron., No. 5, 25 (1996).
I. P. Bazarov and P. N. Nikolaev, Zh. Fiz. Khim. 69, 1758 (1995).
M. N. Bannerman, L. Lue, and L. V. Woodcock, J. Chem. Phys. 132, 084507 (2010).
P. N. Nikolaev, Mosc. Univ. Phys. Bull. 66, 207 (2011).
W. G. Hoover, M. Ross, and K. W. Johnson, J. Chem. Phys. 52, 4931 (1970).
J. N. Cape and L. V. Woodcock, J. Chem. Phys. 72, 976 (1980).
S. Kambayashi and Y. Hiwatari, J. Phys. Soc. Jpn. 56, 2788 (1987).
M. J. Maeso and J. R. Solana, J. Chem. Phys. 98, 5788 (1993).
S. A. Khrapak and G. E. Morfill, J. Chem. Phys. 134, 094108 (2011).
J. A. Barker and D. Henderson, J. Chem. Phys. 47, 4714 (1967).
J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. 54, 5237 (1971).
L. Verlet and J. J. Weis, Phys. Rev. A 5, 939 (1972).
J. A. Barker and D. Henderson, Rev. Mod. Phys. 48, 587 (1976).
E. Bich, R. Hellmann, and E. Vogel, Mol. Phys. 105, 3035 (2007).
T. Yokotai, J. Phys. Soc. Jpn. 15, 779 (1960).
J. Ram and Y. Singh, Mol. Phys. 26, 539 (1973).
G. Garberoglio and A. H. Harvey, J. Chem. Phys. 134, 134106 (2011).
H. Hansen-Goos and R. Roth, J. Chem. Phys. 124, 154506 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P.N. Nikolaev, 2011, published in Vestnik Moskovskogo Universiteta. Fizika, 2011, No. 6, pp. 49–53.
About this article
Cite this article
Nikolaev, P.N. A generalized Karnahan-Starling approach for molecular systems with a positive definite potential of interaction between particles. Moscow Univ. Phys. 66, 541–545 (2011). https://doi.org/10.3103/S0027134911060142
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027134911060142