Quantum-mechanical third virial coefficient of a hard-sphere gas at high temperature

1975 ◽  
Vol 12 (6) ◽  
pp. 2610-2621 ◽  
Author(s):  
B. Jancovici ◽  
S. P. Merkuriev
Keyword(s):  
High Temperature ◽  
Hard Sphere ◽  
Virial Coefficient ◽  
Quantum Mechanical ◽  
Third Virial Coefficient

Quantum-Mechanical Third Virial Coefficient and Three-Body Phase Shifts

1970 ◽  
Vol 2 (3) ◽  
pp. 1018-1033 ◽  
Author(s):  
Sigurd Yves Larsen ◽  
P. Leonardo Mascheroni
Keyword(s):  
Virial Coefficient ◽  
Phase Shifts ◽  
Quantum Mechanical ◽  
Third Virial Coefficient ◽  
Three Body

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.

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