Robinson–Schensted correspondence: Difference between revisions

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In [[plasma physics]], an '''electrostatic ion cyclotron wave''' is a [[longitudinal wave|longitudinal]] oscillation of the [[ion]]s (and [[electron]]s) in a magnetized [[Plasma (physics)|plasma]], propagating nearly (but not exactly) perpendicular to the [[magnetic field]]. The angle (in [[radian]]s) between the direction of propagation and the direction perpendicular to the magnetic field must be greater than about the square root of the mass ratio,
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:<math>\sqrt{\frac{m_e}{m_i}}</math>,
 
in order that the electrons can move along the field lines from crest to trough to satisfy the [[Boltzmann relation]]. The [[dispersion relation]] is
:<math>\omega^2=\Omega_c^2+k^2v_s^2</math>,<ref>{{cite book| author=[[Thomas H. Stix|Thomas Stix]]| title=The Theory of Plasma Waves | publisher = McGraw-Hill | year=1962}}</ref>
where Ω<sub>c</sub> is the ion [[cyclotron frequency]] and ''v''<sub>s</sub> is the [[ion acoustic wave|ion sound speed]]. This relation is the result of restoring forces due to the [[Lorentz force]] (see [[Upper hybrid oscillation]] for more details), the [[electrostatic force]] (the ''T''<sub>e</sub> term in ''v''<sub>s</sub>), and the ion pressure (the ''T''<sub>i</sub> term in ''v''<sub>s</sub>).
 
== See also ==
 
* [[Waves in plasmas]]
* [[Ion acoustic wave]]
* [[Upper hybrid oscillation]]
* [[Lower hybrid oscillation]]
 
==References==
<references/>
 
[[Category:Waves in plasmas]]

Revision as of 16:14, 19 February 2014

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