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An energy-consistent snow-plough model for pinch design

A general theory is developed in which a snow-plough model is coupled to a circuit equation with two scaling parameters for the computation of pinch trajectory and pinch current covering the complete range of pinch operation. The integration of the pinch trajectory is properly terminated by the application of a new energy balance theory. This model thus gives the trajectory, the current and the quasi-equilibrium pinch radius ratio rp/r0 for the general pinch device. The simplicity and flexibility of this physically realistic model make it an excellent aid for the consideration of pinch design.