Plasma parameter: Difference between revisions

Revision as of 16:40, 15 November 2019

Revision as of 16:44, 15 November 2019

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Often the factor of <math>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>

where

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Clearly, up to a numeric factor of the order of unity,

:<math>\Gamma \sim \Lambda^{-\frac{2/}{3}}\ </math>.

In general, for multicomponent plasmas one defines the coupling parameter for each species ''s'' separately: