Why Does the Complete Iterative Inversion Method Work so Well?

Why Does the Complete Iterative Inversion Method Work so Well?

Consider a dilute gas composed of identical, isotropic molecules in which the potential energy of interaction between pairs of particles is an analytic function of the distance of separation with either a monomial or a normal binomial Laurent expansion. It is shown that the complete iterative invers...

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Veröffentlicht in:Differential equations and dynamical systems 2013-10, Vol.21 (4), p.403-417
Hauptverfasser: Grow, David, Insall, Matt
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Engineering
Mathematics
Mathematics and Statistics
Original Research
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Zusammenfassung:Consider a dilute gas composed of identical, isotropic molecules in which the potential energy of interaction between pairs of particles is an analytic function of the distance of separation with either a monomial or a normal binomial Laurent expansion. It is shown that the complete iterative inversion method inverts second virial coefficient data in one step to obtain the pair potential. In particular, the CIIM inverts second virial coefficient data in one step for gases with a Lennard-Jones pair potential.
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-013-0165-7