An explicit equation for the radial distribution function of a dense Lennard-Jones fluid

1979 ◽  
Vol 83 (23) ◽  
pp. 3033-3037 ◽  
Author(s):  
Saul. Goldman
Keyword(s):  
Distribution Function ◽  
Radial Distribution Function ◽  
Radial Distribution ◽  
Explicit Equation ◽  
Lennard Jones

A study of associating Lennard–Jones chains by a new reference radial distribution function

2000 ◽  
Vol 171 (1-2) ◽  
pp. 27-44 ◽  
Author(s):  
Yiping Tang ◽  
Benjamin C.-Y. Lu
Keyword(s):  
Distribution Function ◽  
Radial Distribution Function ◽  
Radial Distribution ◽  
Lennard Jones

A new method of solving the Born-Green equation for the radial distribution function

1952 ◽  
Vol 210 (1103) ◽  
pp. 509-517 ◽  
Keyword(s):  
Distribution Function ◽  
Radial Distribution Function ◽  
Numerical Integration ◽  
Potential Function ◽  
Radial Distribution ◽  
Lennard Jones Potential ◽  
Jones Potential ◽  
Lennard Jones ◽  
Central Molecule ◽  
Close Range

A solution of the Born-Green equation for the radial distribution function may be found as a series in ascending powers of the density. This method is applied to a fluid of rigid spherical molecules, and the results are compared with those which Kirkwood, Maun & Alder obtained by means of numerical integration. For such molecules it is possible to show that the close-range structure at a distance between n and n + 1 diameters from a central molecule is of the order of the density raised to the n th power ( n integral). When the Lennard-Jones potential function is employed, the first and second approximations to the radial distribution function thus obtained are shown to be identical with those resulting from a rigorous development of this function in powers of the density.

A new expression for radial distribution function and infinite shear modulus of Lennard-Jones fluids

2006 ◽  
Vol 325 (2-3) ◽  
pp. 554-562 ◽  
Author(s):  
M. Bamdad ◽  
S. Alavi ◽  
B. Najafi ◽  
E. Keshavarzi
Keyword(s):  
Distribution Function ◽  
Shear Modulus ◽  
Radial Distribution Function ◽  
Radial Distribution ◽  
Lennard Jones

Analytical model for the radial distribution function of a Lennard-Jones liquid

1987 ◽  
Vol 27 (5) ◽  
pp. 804-806 ◽  
Author(s):  
V. A. Mazur ◽  
Yu. A. Pochkin
Keyword(s):  
Distribution Function ◽  
Radial Distribution Function ◽  
Analytical Model ◽  
Radial Distribution ◽  
Lennard Jones
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