Abstract
The Carnahan–Starling (CS) method has been analysed for hard hyperspheres whose simulation data for the equation of state (EOS) are available at present ( D = 2 – 9 ). For lower dimensions ( D = 2 – 4 ) its strict application is successful and their purposes are fulfilled. On the other hand for remaining dimensions, the original procedure is not applicable as a whole. The obtained equations, the truncated virial equation and other equations have been compared with the simulation data whenever possible. The agreement is usually very satisfactory. In short, the proposed equations reproduce the behaviour of hard hyperspheres for low and moderate densities very well. • The Carnahan–Starling method has been applied to hard hyperspheres with available simulation data obtaining equations of state in each case. • The original method must be modified when negative virial coefficients are present. • The agreement with such simulation data is good as far as low and intermediate-range densities are concerned. • For high densities and dimensions, the lack of simulation data does not allow us to contrast any assumptions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
