State equation for the three-dimentional system of "collapsing" hard spheres
I.Klebanov, N.Ginchitskii, P.Gritsay
TL;DR
This paper derives an exact state equation for a three-dimensional system of 'collapsing' hard spheres using Wertheim's method, showing the Percus-Yevick equation lacks Van der Waals loops for this system.
Contribution
It provides the first exact solution of the Percus-Yevick equation for collapsing hard spheres and constructs the corresponding state equation.
Findings
Percus-Yevick equation has no Van der Waals loop for collapsing hard spheres
Exact solution obtained using Wertheim's method
State equation derived for the system
Abstract
By Wertheim method the exact solution of the Percus-Yevick integral equation for a system of particles with the "repulsive step potential",interacting ("collapsing" hard spheres) is obtained. On the basis of this solution the state equation for the "repulsive step potential" is built and determined, that the Percus-Yevick equation does not show the Van der Waalse loop for "collapsing" hard spheres.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Material Science and Thermodynamics · Granular flow and fluidized beds