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.[1][2]

References

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

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[1] Bauer, Frances; Betancourt, Octavio; Garabedian, Paul (1984). Magnetohydrodynamic Equilibrium and Stability of Stellarators. New York, NY: Springer-Verlag New York. p. 22-27. 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.