High-order virial coefficients and equation of state for hard sphere and hard disk systems

2009 ◽  
Vol 11 (41) ◽  
pp. 9382 ◽  
Author(s):  
Jiawen Hu ◽  
Yang-Xin Yu
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Virial Coefficients ◽  
Hard Disk ◽  
High Order

Critical consolute point in hard-sphere binary mixtures: Effect of the value of the eighth and higher virial coefficients on its location

2010 ◽  
Vol 75 (3) ◽  
pp. 359-369 ◽  
Author(s):  
Mariano López De Haro ◽  
Anatol Malijevský ◽  
Stanislav Labík
Keyword(s):  
Equation Of State ◽  
Binary Mixtures ◽  
Hard Sphere ◽  
Hard Spheres ◽  
Virial Coefficients ◽  
Fluid Mixture ◽  
Binary Fluid ◽  
Virial Series ◽  
Consolute Point ◽  
Critical Constants

Various truncations for the virial series of a binary fluid mixture of additive hard spheres are used to analyze the location of the critical consolute point of this system for different size asymmetries. The effect of uncertainties in the values of the eighth virial coefficients on the resulting critical constants is assessed. It is also shown that a replacement of the exact virial coefficients in lieu of the corresponding coefficients in the virial expansion of the analytical Boublík–Mansoori–Carnahan–Starling–Leland equation of state, which still leads to an analytical equation of state, may lead to a critical consolute point in the system.

Linear hard sphere models Virial coefficients and equation of state

1994 ◽  
Vol 82 (6) ◽  
pp. 1233-1247 ◽  
Author(s):  
Carlos Vega ◽  
Santiago Lago ◽  
Benito Garzón
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Virial Coefficients ◽  
Hard Sphere Models

scholarly journals Equation of state for hard-sphere fluids offering accurate virial coefficients

2009 ◽  
Vol 11 (47) ◽  
pp. 11213 ◽  
Author(s):  
Jianxiang Tian ◽  
Hua Jiang ◽  
Yuanxing Gui ◽  
A. Mulero
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Virial Coefficients

scholarly journals Statistical mechanics of hard spheres: the scaled particle theory of the hard sphere fluid revisited

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Bruno Baeyens
Keyword(s):  
Equation Of State ◽  
Hard Sphere ◽  
Hard Spheres ◽  
Virial Coefficients ◽  
Scaled Particle Theory ◽  
Particle Theory ◽  
Simulation Data ◽  
Hard Sphere Fluid ◽  
Two Parameters ◽  
Compressibility Factors

The aim of this paper is to exhaust the possibilities offered by the scaled particle theory as far as possible and to confirm the reliability of the virial coefficients found in the literature, especially the estimated ones: B i for i > 11. In a previous article (J.Math.Phys.36,201,1995) a theoretical equation of state for the hard sphere fluid was derived making use of the ideas of the so called scaled particle theory which has been developed by Reiss et al.(J.Chem.Phys.31,369,1959). It contains two parameters which could be calculated. The equation of state agrees with the simulation data up to high densities, where the fluid is metastable. The derivation was besed on a generalized series expansion. The virial coefficients B 2 , B 3 and B 4 are exactly reproduced and B 5 , B 6 and B 7 to within small deviations, but the higher ones up to B 18 are systematically and significantly smaller than the values found in the literature. The scaled particle theory yields a number of equations of which only four were used. In this paper we make use of seven equations to calculate the compressibility factors of the fluid. They agree with the simulation data slightly better than those yielded by the old equation. Moreover, the differences between the calculated virial coefficients B i and those found in the literature up to B 18 are very small (less than 4 percent).

scholarly journals Virial coefficients, equation of state, and demixing of binary asymmetric nonadditive hard-disk mixtures

2017 ◽  
Vol 147 (16) ◽  
pp. 164502 ◽  
Author(s):  
Giacomo Fiumara ◽  
Franz Saija ◽  
Giuseppe Pellicane ◽  
Mariano López de Haro ◽  
Andrés Santos ◽  
...  
Keyword(s):  
Equation Of State ◽  
Virial Coefficients ◽  
Hard Disk
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