Dynamics of plasma heating on ion acoustic instability

A simple model of current plasma heating in the presence of the ion-sound instability has been considered. The equations for electron and ion temperatures at not very small times of current buildup are solved analytically, and for a more general case are investigated on a computer. The model has been used for a description of plasma heating a longitudinal pinch. The problem on diffusion of a magnetic field of the current with the ion-sound instability is solved