Third virial coefficient for quantum hard spheres: Two-point Pad� approximants for direct and exchange parts

1981 ◽  
Vol 26 (2) ◽  
pp. 333-346 ◽  
Author(s):  
W. G. Gibson
Keyword(s):  
Virial Coefficient ◽  
Hard Spheres ◽  
Third Virial Coefficient

Reduced third virial coefficient for linear flexible polymers in good solvents

1993 ◽  
Vol 26 (15) ◽  
pp. 3791-3794 ◽  
Author(s):  
Takashi Norisuye ◽  
Yo Nakamura ◽  
Kazutomo Akasaka
Keyword(s):  
Virial Coefficient ◽  
Flexible Polymers ◽  
Third Virial Coefficient

The fifth virial coefficient of a fluid of hard spheres

1964 ◽  
Vol 279 (1377) ◽  
pp. 147-160 ◽  
Keyword(s):  
Monte Carlo ◽  
Numerical Integration ◽  
Virial Coefficient ◽  
Monte Carlo Calculation ◽  
Hard Spheres ◽  
Cluster Integrals ◽  
Different Types

The fifth virial coefficient of a fluid of hard spheres is a sum of 238 irreducible cluster integrals of 10 different types. The values of 5 of these types (152 integrals) are obtained analytically, the contributions of a further 4 types (85 integrals) are obtained by a com­bination of analytical and numerical integration, and 1 integral is calculated by an approximation. The result is E = (0·1093 ± 0·0007) b 4 , b = 2/3 πN A σ 3 , where σ is the diameter of a sphere. A combination of the values of 237 of the cluster integrals obtained in this paper with the value of one integral obtained independently by Katsura & Abe from a Monte Carlo calculation yields E = (0·1101 ± 0·0003) b 4 .

The third virial coefficient of hard discs of different sizes

1987 ◽  
Vol 61 (2) ◽  
pp. 525-528 ◽  
Author(s):  
John S. Rowlinson ◽  
Donald A. McQuarrie
Keyword(s):  
Virial Coefficient ◽  
The Third ◽  
Third Virial Coefficient

Third Virial Coefficient for the Sutherland (∞, ν) Potential

1964 ◽  
Vol 36 (4) ◽  
pp. 1025-1033 ◽  
Author(s):  
H. W. GRABEN ◽  
R. D. PRESENT
Keyword(s):  
Virial Coefficient ◽  
Third Virial Coefficient
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