Thermodynamic and structural properties of finely discretized on-lattice hard-sphere fluids: Virial coefficients, free energies, and direct correlation functions

2009 ◽  
Vol 131 (8) ◽  
pp. 084503 ◽  
Author(s):  
Daniel W. Siderius ◽  
Lev D. Gelb
Keyword(s):  
Structural Properties ◽  
Correlation Functions ◽  
Hard Sphere ◽  
Virial Coefficients ◽  
Free Energies

scholarly journals Structural properties of additive binary hard-sphere mixtures. III. Direct correlation functions

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Sławomir Pieprzyk ◽  
Santos B. Yuste ◽  
Andrés Santos ◽  
Mariano López de Haro ◽  
Arkadiusz C. Brańka
Keyword(s):  
Structural Properties ◽  
Correlation Functions ◽  
Hard Sphere

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.

On the calculation of equilibrium time correlation functions in hard-sphere fluids

1989 ◽  
Vol 54 (1-2) ◽  
pp. 273-313 ◽  
Author(s):  
I. M. de Schepper ◽  
E. G. D. Cohen ◽  
B. Kamgar-Parsi
Keyword(s):  
Correlation Functions ◽  
Hard Sphere ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Equilibrium Time

Cavity formation free energies for rigid chains in hard sphere fluids

1998 ◽  
Vol 108 (17) ◽  
pp. 7294-7300 ◽  
Author(s):  
Argyroula Stamatopoulou ◽  
Dor Ben-Amotz
Keyword(s):  
Hard Sphere ◽  
Cavity Formation ◽  
Free Energies

Structural properties of dense hard sphere systems near random close packing

2011 ◽  
Author(s):  
B. A. Klumov ◽  
S. A. Khrapak ◽  
G. E. Morfill ◽  
Vladimir Yu. Nosenko ◽  
Padma K. Shukla ◽  
...  
Keyword(s):  
Structural Properties ◽  
Hard Sphere ◽  
Close Packing ◽  
Random Close Packing

Kinetic equation for hard-sphere correlation functions

Physica ◽  
1973 ◽  
Vol 64 (2) ◽  
pp. 342-362 ◽  
Author(s):  
H.H.U. Konijnendijk ◽  
J.M.J. Van Leeuwen
Keyword(s):  
Kinetic Equation ◽  
Correlation Functions ◽  
Hard Sphere
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