We argue that the threshold density of structural stability, ρinst, of a classical fluid can be determined from the Floquet matrix for the iterative form of the integral equation for the pair structure. A measure of the structural stability of the fluid is provided by the Lyapunov exponent related to the perturbed dynamics. The hypernetted-chain and Percus-Yevick equations yield, for hard spheres, a value of ρinst that is about 10% smaller than the freezing density.
Iterative solutions of integral equations and structural stability of fluids
MALESCIO, Gianpietro;GIAQUINTA, Paolo Vittorio;
1998-01-01
Abstract
We argue that the threshold density of structural stability, ρinst, of a classical fluid can be determined from the Floquet matrix for the iterative form of the integral equation for the pair structure. A measure of the structural stability of the fluid is provided by the Lyapunov exponent related to the perturbed dynamics. The hypernetted-chain and Percus-Yevick equations yield, for hard spheres, a value of ρinst that is about 10% smaller than the freezing density.File in questo prodotto:
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