Abstract:Experimental data compiled over five decades of dense plasma focus research is consistent with the snowplow model of sheath propagation, based on the hypothetical balance between magnetic pressure driving the plasma into neutral gas ahead and "wind pressure" resisting its motion. The resulting sheath velocity, or the numerically proportional "drive parameter", is known to be approximately constant for devices optimized for neutron production over 8 decades of capacitor bank energy. This paper shows that the validity of the snowplow hypothesis, with some correction, as well as the non-dependence of sheath velocity on device parameters, have their roots in local conservation laws for mass, momentum and energy coupled with the ionization stability condition. Both upper and lower bounds on sheath velocity are shown to be related to material constants of the working gas and independent of the device geometry and capacitor bank impedance.Key words: Dense plasma focus, drive parameter, conservation laws, snowplow model, RankineHugoniot conditions, ionizing shock waves, ionization stability condition.The dense plasma focus[1] (DPF) is a laboratory plasma fusion device with a rich and complex phenomenology [2,3]; yet it also has strikingly simple universal properties which hold over 8 decades in capacitor bank storage energy: neutron yield Y scales as the fourth power of pinch current I p [3,4], the ratio of capacitor bank energy to the cube of anode radius is nearly constant [4] and the drive parameter 0 I p a , with p 0 the fill gas pressure, I the maximum current and a the anode radius, is nearly constant [4,5]. One of the conclusions of DPF research over the last 50 years is that the plasma current sheath (PCS) propagation is quite well described by the snowplow model [6,7,8], which assumes that the sheath acquires a velocity and shape