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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 ${\displaystyle \omega ={\frac {\partial }{\partial t}}}$ represents the frequency and ${\displaystyle \mathbf {k} ={\frac {\partial }{\partial z}}}$ is the z-direction of the unit vector) to the plasma mathematical model to compute calculations.

References

1. Bauer, Frances; Betancourt, Octavio; Garabedian, Paul (1984). Magnetohydrodynamic Equilibrium and Stability of Stellarators. New York, NY: Springer-Verlag New York. p. 22-27. doi:10.1007/978-1-4612-5240-5_5. ISBN 978-1-4612-9753-6.
2. Mikhailovskii, A. B. (October 2017). Instabilities in a Confined Plasma. CRC Press. ISBN 978-1-351-43816-2.

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