Fluids of Particles with Short‐Range Repulsion and Weak Long‐Range Attractive Interaction. II. The Two‐Particle Distribution Function

1970 ◽  
Vol 11 (11) ◽  
pp. 3168-3176 ◽  
Author(s):  
John B. Jalickee ◽  
Arnold J. F. Siegert ◽  
David J. Vezzetti
Keyword(s):  
Distribution Function ◽  
Long Range ◽  
Short Range ◽  
Particle Distribution ◽  
Particle Distribution Function ◽  
Attractive Interaction ◽  
Short Range Repulsion

On Fluids of Particles with Short‐Range Repulsion and Weak Long‐Range Attractive Interaction

1969 ◽  
Vol 10 (8) ◽  
pp. 1442-1454 ◽  
Author(s):  
John B. Jalickee ◽  
Arnold J. F. Siegert ◽  
David J. Vezzetti
Keyword(s):  
Long Range ◽  
Short Range ◽  
Attractive Interaction ◽  
Short Range Repulsion

KINETIC EQUATION FOR A GAS WITH LONG-RANGE ATTRACTION

1967 ◽  
Vol 45 (11) ◽  
pp. 3555-3567 ◽  
Author(s):  
R. A. Elliott ◽  
Luis de Sobrino
Keyword(s):  
Kinetic Equation ◽  
Long Range ◽  
Short Range ◽  
Kinetic Equations ◽  
Perturbation Expansion ◽  
Interparticle Distance ◽  
Range Interaction ◽  
Short Range Repulsion ◽  
Self Consistent Field ◽  
Range Force

A classical gas whose particles interact through a weak long-range attraction and a strong short-range repulsion is studied. The Liouville equation is solved as an infinite-order perturbation expansion. The terms in this series are classified by Prigogine-type diagrams according to their order in the ratio of the range of the interaction to the average interparticle distance. It is shown that, provided the range of the short-range force is much less than the average interparticle distance which, in turn, is much less than the range of the long-range force, the terms can be grouped into two classes. The one class, represented by chain diagrams, constitutes the significant contributions of the short-range interaction; the other, represented by ring diagrams, makes up, apart from a self-consistent field term, the significant contributions from the long-range force. These contributions are summed to yield a kinetic equation. The orders of magnitude of the terms in this equation are compared for various ranges of the parameters of the system. Retaining only the dominant terms then produces a set of eight kinetic equations, each of which is valid for a definite range of the parameters of the system.

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