Perturbation Theories of Detonation

Fickett in Detonation Properties of Condensed Explosives Calculated with an Equation of State Based on Intermolecular Potentials , Los Alamos Scientific Lab Rept LA-2712 (1962), pp 34-38, discusses perturbation theories as applied to a system of deton products consisting of two phases one, solid carbon in some form, and the other, a fluid mixt of the remaining product species. He divides these theories into two classes conformal solution theory, and what he chooses to call n-fluid theory. Both theories stem from a common approach, namely, perturbation from a pure fluid whose props are assumed known. They differ mainly in the choice of expansion variables. The conformal solution method begins with the assumption that all of the intermolecular interaction potentials have the same functional form. To obtain the equation of state of the mixt, some reference fluid obeying a common reduced equation of state is chosen, and the mixt partition function is expanded about that of the reference fluid 

The n-fluid theories have received wide attention. As in the conformal solution, it is assumed that the props of any pure fluid with given pair potential are known. 

The principal differences are in the choice of expansion variable and of the reference fluid. The expansion is made in the differences betw the individual pair-potential functions and the potential function of the reference fluid. These functional differ- 

The equations of state and expansion functions for the perturbation theories are found in paper of Fickett 

See also Detonation, Longuet-Higgins Theory and Detonation, Pseudopotential Theories 

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