Plasma parameter: Difference between revisions

Revision as of 16:50, 15 November 2019

Revision as of 18:04, 15 November 2019

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Since these two definitions differ only by a factor of three, they are frequently used interchangeably.

Often the factor of <math>\frac{4\pi/}{3}</math> is dropped. When the Debye length is given by <math>\lambda_\text{D} = \sqrt{\frac{\epsilon_0 kT_\text{e}}{n_\text{e}q_\text{e}^2}}</math>, the plasma parameter is given by<ref>Miyamoto, K., Fundamentals of Plasma Physics and Controlled Fusion, (Iwanami, Tokyo, 1997)</ref>

:<math>N_\text{D} = \frac{(\epsilon_0 kT_\text{e})^\frac{3}{2}}{q_\text{e}^3 {n_\text{e}}^\frac{1}{2}}</math>