The potential distribution-based closures to the integral equations for liquid structure: The Lennard-Jones fluid

1997 ◽  
Vol 107 (18) ◽  
pp. 7360-7370 ◽  
Author(s):  
Lloyd L. Lee
Keyword(s):  
Integral Equations ◽  
Potential Distribution ◽  
Liquid Structure ◽  
Lennard Jones

Second-order integral equations for Lennard-Jones associating fluids

1997 ◽  
Vol 93 (14) ◽  
pp. 2367-2372 ◽  
Author(s):  
Paweł Bryk ◽  
O. Pizio ◽  
Stefan Sokołowski
Keyword(s):  
Integral Equations ◽  
Second Order ◽  
Associating Fluids ◽  
Lennard Jones

Density Dependent Potentials in Simple Liquids

1972 ◽  
Vol 50 (20) ◽  
pp. 2461-2463 ◽  
Author(s):  
P. A. Egelstaff ◽  
S. S. Wang
Keyword(s):  
Density Dependence ◽  
Structure Factor ◽  
Liquid Structure ◽  
Real Space ◽  
Wave Number ◽  
Liquid Alkali Metal ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Effective Pair ◽  
Fermi Wave Number

The density dependence of effective pair potentials may be studied through the density dependence of the liquid structure factor. For a liquid alkali metal (Rb) it is suggested that the ρ1/3 behavior of the Fermi wave-number of the electron gas explains the ρ1/3 behavior of the liquid structure factor recently discovered by Egelstaff et al. For the Lennard-Jones fluid and for liquid neon it is suggested that a near ρ-independent potential gives rise to ρ-dependent changes in the liquid structure factor corresponding to changes in the number of nearest neighbors in real space. This suggestion is tested by comparison with experiment.

Structure Factors of Liquid Sodium and Potassium

1975 ◽  
Vol 30 (3) ◽  
pp. 383-384 ◽  
Author(s):  
R. V. Gopala Rao ◽  
A. K. Murthy
Keyword(s):  
Spherical Model ◽  
Liquid Structure ◽  
Liquid Sodium ◽  
Model Approximation ◽  
Lennard Jones ◽  
Structure Factors ◽  
Mean Spherical Model ◽  
The Mean ◽  
Sodium And Potassium ◽  
Good Agreement

The liquid structure factors of sodium and potassium have been calculated by taking a Lennard-Jones 6:12 potential as a perturbation of the hard sphere potential in the mean spherical model approximation. Typical results are in good agreement with the experimental ones.

Thermodynamic consistency and integral equations for the liquid structure

2002 ◽  
Vol 117 (23) ◽  
pp. 10726-10729
Author(s):  
F. E. Leys ◽  
N. H. March ◽  
D. Lamoen
Keyword(s):  
Integral Equations ◽  
Liquid Structure ◽  
Thermodynamic Consistency
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