Semihydrodynamic model for ion separation in a fast pinch

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Abstract
It has been found experimentally that if a mixture of hydrogen and argon is pinched, a separation between the two components occurs very early during the implosion phase; the light ions move faster to the center, leaving the heavier ions behind. A model is presented which describes the dynamics of the pinch and explains the separation. The collisional electron gas is treated as a fluid and the ions are treated as free particles accelerated by the collective electrostatic field set up by the flow. The set of equations describing such a flow is presented and some simple problems are worked out in order to show that a separation is possible. These problems include the ion sound wave, the general flow with impurities, and the shock wave structure.

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