Annotation
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.
Received: 2011 June 7
Approved: 2012 March 20
PACS:
64.10.+h General theory of equations of state and phase equilibria
61.20.Gy Theory and models of liquid structure
61.20.Gy Theory and models of liquid structure
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
P.N. Nikolaev
Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Moscow, 119991, Russia