On the correlation functions for the hard sphere fluid

1970 ◽  
Vol 18 (3) ◽  
pp. 429-431 ◽  
Author(s):  
D. Henderson ◽  
R.O. Watts
Keyword(s):  
Correlation Functions ◽  
Hard Sphere ◽  
Hard Sphere Fluid

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.

On the Entropy of the Hard Sphere Fluid

1991 ◽  
Vol 46 (1-2) ◽  
pp. 27-31 ◽  
Author(s):  
Andräs Baranyai ◽  
Denis J. Evans
Keyword(s):  
Computer Simulation ◽  
Correlation Functions ◽  
Hard Sphere ◽  
Structural Information ◽  
Excess Entropy ◽  
Higher Order ◽  
Particle Correlation ◽  
Hard Sphere Fluid ◽  
Three Body ◽  
Fluid Configuration

AbstractThe expansion of the entropy into one-body, two-body, three-body, etc. contributions was applied to estimate the excess entropy of the hard sphere fluid. Configuration samples provided by computer simulation were used to determine the two-particle and three-particle correlation functions. The results show that even at intermediate densities a non-negligible part of the structural information is represented by four-body and higher order correlations.

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