Mercier criterion

The Mercier criterion is a criterion for plasma used in the theoretical study of plasma instability. It was first proposed in 1954 by C. Mercier, who applied the perturbation method (in which $$\omega =\frac {\partial } {\partial t}$$ represents the frequency and $$\mathbf k = \frac {\partial} {\partial z}$$ is the z-direction of the unit vector) to the plasma mathematical model to compute calculations.