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In [[plasma physics]] of [[tokamak]]s, '''collisionality''' is a [[dimensionless parameter]] which expresses the ratio of the electron-ion [[collision frequency]] to the banana orbit frequency. | |||
== Definition == | |||
The [[Plasma (physics)|plasma]] collisionality <math>\nu^*</math> is defined as<ref>Nucl. Fusion, Vol. 39, No. 12 (1999)</ref><ref>Wenzel, K and Sigmar, D.. Nucl. Fusion 30, 1117 (1990)</ref> | |||
:<math> | |||
\nu^* = \nu_\mathrm{ei}\,\sqrt{\frac{m_\mathrm{i}}{k_\mathrm{B} T_\mathrm{i}}}\,\epsilon^{-3/2}\,qR, | |||
</math> | |||
where <math>\nu_\mathrm{ei}</math> denotes the electron-ion [[collision frequency]], <math>R</math> is the plasma [[major radius]], <math>\epsilon</math> is the inverse [[aspect-ratio]], and <math>q</math> is the [[safety factor]]. | |||
The [[Plasma (physics)|plasma]] parameters <math>m_\mathrm{i}</math> and <math>T_\mathrm{i}</math> denote, respectively, the [[mass]] and [[temperature]] of the [[ions]], and <math>k_\mathrm{B}</math> is the [[Boltzmann constant]]. | |||
==See also== | |||
*[[List of plasma (physics) articles]] | |||
==References== | |||
{{Reflist}} | |||
[[Category:Plasma physics]] | |||
{{Physics-stub}} | |||
Revision as of 18:22, 31 October 2013
In plasma physics of tokamaks, collisionality is a dimensionless parameter which expresses the ratio of the electron-ion collision frequency to the banana orbit frequency.
Definition
The plasma collisionality is defined as[1][2]
where denotes the electron-ion collision frequency, is the plasma major radius, is the inverse aspect-ratio, and is the safety factor. The plasma parameters and denote, respectively, the mass and temperature of the ions, and is the Boltzmann constant.
See also
References
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