Equation of state for the hard sphere model in the third virial coefficient approximation

1987 ◽  
Vol 124 (8) ◽  
pp. 392-398 ◽  
Author(s):  
N.S. Gonchar ◽  
A.B. Rudyk
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Virial Coefficient ◽  
Hard Sphere Model ◽  
Sphere Model ◽  
The Third ◽  
Third Virial Coefficient

scholarly journals Note: Equation of state and the freezing point in the hard-sphere model

2014 ◽  
Vol 140 (13) ◽  
pp. 136101 ◽  
Author(s):  
Miguel Robles ◽  
Mariano López de Haro ◽  
Andrés Santos
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Freezing Point ◽  
Hard Sphere Model ◽  
Sphere Model

scholarly journals Equation of State of Four- and Five-Dimensional Hard-Hypersphere Mixtures

Entropy ◽  
2020 ◽  
Vol 22 (4) ◽  
pp. 469 ◽  
Author(s):  
Mariano López de Haro ◽  
Andrés Santos ◽  
Santos B. Yuste
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo Simulation ◽  
Equation Of State ◽  
Hard Sphere ◽  
Virial Coefficient ◽  
Three Dimensional ◽  
The Other ◽  
Third Virial Coefficient ◽  
Simulation Results ◽  
The One

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are constructed in such a way so as to yield the exact third virial coefficient) extend, on the one hand, recent similar formulations for hard-disk and (three-dimensional) hard-sphere mixtures and, on the other hand, two of our previous proposals also linking the mixture equation of state and the one of the monocomponent fluid but unable to reproduce the exact third virial coefficient. The old and new proposals are tested by comparison with published molecular dynamics and Monte Carlo simulation results and their relative merit is evaluated.

The Bender Equation of State and Virial Coefficients

2000 ◽  
Vol 65 (9) ◽  
pp. 1464-1470 ◽  
Author(s):  
Anatol Malijevský ◽  
Tomáš Hujo
Keyword(s):  
Equation Of State ◽  
Virial Coefficient ◽  
Virial Coefficients ◽  
Low Density ◽  
Second Virial Coefficients ◽  
The Third ◽  
Temperature Dependences ◽  
Experimental Values

The second and third virial coefficients calculated from the Bender equation of state (BEOS) are tested against experimental virial coefficient data. It is shown that the temperature dependences of the second and third virial coefficients as predicted by the BEOS are sufficiently accurate. We conclude that experimental second virial coefficients should be used to determine independently five of twenty constants of the Bender equation. This would improve the performance of the equation in a region of low-density gas, and also suppress correlations among the BEOS constants, which is even more important. The third virial coefficients cannot be used for the same purpose because of large uncertainties in their experimental values.

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