[en] In an analytical way studied is the compression of deuterium and xenon mixture under the action of the ponderomotive force at the expense of the electric current, running through the gas. The consideration is made in cylindrical configuration. A model of three-liquid hydrodynamics is used. The friction and the heat transfer between the plasma components are taken into consideration, as well as the change of its composition due to ionization. The Z pinch plasma sheath dynamics and structure are determined. It is shown that unlike the case of pure deuterium, in case of the deuterium and xenon mixture the anomalous plasma conductivity is of great importance. At low operation pressures of the mixture the anomalous conductivity promotes the mixture separation from deuterium in the process of plasma sheath compression in the direction to the charge axis. The results of the work permit to interprete the phenomenon of ''running away'' of the plasma sheath in noncylindrical pinch from a new point of view. The phenomenon essence is as follows: the sharp acceleration of the sheath redrawing in the direction to the discharge axis. It is observed only in the mixture of deuterium and xenon. Heterogeneous mass distribution in the sheath may occur in the case if xenon in the redrawing fails to be drawn into the compression at the expense of the friction with deuterium. Then due to the anomalous conductivity the sheath looses xenon and becomes lighter. The sheath mass losses result in the decrease of the radius of its curvature, in the quick plasma following out, and in the sharp sheath acceleration up to Alfven velocities. At the transition to thermonuclear pinch systems the depth of xenon ionization increases so much that the plasma energy losses at radiation due to the addition become essential in the energetic balance of the system