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Recent diagnostic advances in gas-puff Z pinches at the Weizmann Institutefor the first time allow the reconstruction of the current flow as a functionof time and radius. These experiments show an unexpected radially-outwardmotion of the current channel, as the plasma moves radially-inward [C.Stollberg, Ph.D thesis, Weizmann Institute, 2019]. In this paper, a mechanismthat could explain this current evolution is described. We examine the impactof advection on the distribution of current in a cylindrically symmetricplasma. In the case of metric compression, with |v_r| proportional to r, thecurrent enclosed between each plasma fluid element and the axis is conserved,and so the current profile maintains its shape. We show that for more generalvelocity profiles, this simple behavior quickly breaks down, allowing fornon-conservation of current in a compressing conductor, rapid redistribution ofthe current density, and even for the formation of reverse currents. Inparticular, a specific inward radial velocity profile is shown to result inradially-outward motion of the current channel, recovering the surprisingcurrent evolution discovered at the Weizmann Institute.

Current channel evolution in ideal Z pinch for general velocity profiles