Contact pair correlation functions and equation of state for nonadditive hard‐sphere mixtures

1996 ◽  
Vol 105 (8) ◽  
pp. 3222-3228 ◽  
Author(s):  
Esam Z. Hamad
Keyword(s):  
Equation Of State ◽  
Correlation Functions ◽  
Hard Sphere ◽  
Pair Correlation ◽  
Contact Pair ◽  
Pair Correlation Functions

Decay of pair correlation functions

1977 ◽  
Vol 55 (9) ◽  
pp. 761-766 ◽  
Author(s):  
Yoshio Tago ◽  
William R. Smith
Keyword(s):  
Correlation Function ◽  
Correlation Length ◽  
Correlation Functions ◽  
Pair Correlation Function ◽  
Hard Sphere ◽  
Pair Correlation ◽  
Direct Correlation Function ◽  
Pair Correlation Functions ◽  
Hard Sphere Fluid

The decay equation, which determines the correlation length and the period of the pair correlation function of a fluid at large distances, is discussed using the Ornstein–Zernike equation when the direct correlation function vanishes rapidly at large distances. The decay equation is solved numerically using the exact hard sphere and sticky hard sphere fluid results from the Percus–Yevick approximation. In the case of the hard sphere fluid, oscillatory decay is always obtained. For the sticky hard sphere fluid, we obtain a locus both in the pressure–temperature plane and the density–temperature plane such that the decay is monotonic inside and oscillatory outside the locus.

Pair correlation functions for a hard sphere mixture in the colloidal limit

1997 ◽  
Vol 91 (6) ◽  
pp. 1137-1142 ◽  
Author(s):  
By DANNY H. L. YAU ◽  
KWONG-YU CHAN ◽  
DOUGLAS HENDERSON
Keyword(s):  
Correlation Functions ◽  
Hard Sphere ◽  
Pair Correlation ◽  
Pair Correlation Functions
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