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The | '''{{Portal|Physics}} | ||
The '''resistive ballooning mode (RBM)''' is an instability occurring in magnetized [[Plasma (physics)|plasma]]s, particularly in [[magnetic confinement]] devices such as tokamaks, when the pressure gradient is opposite to the effective gravity created by a [[magnetic field]]. | |||
==Linear growth rate== | |||
The linear growth rate <math>\gamma</math> of the RBM instability is given as | |||
:<math>\gamma^2 = -\vec{g_{eff}}\cdot\frac{\nabla p}{p}</math> | |||
where <math>|\nabla p|\sim \frac{p}{L_p}</math> is the pressure gradient <math>g_{eff}=c_s|\frac{\nabla B}{B}|\sim 1/R_0</math> is the effective gravity produced by a non-homogeneous magnetic field, ''R''<sub>0</sub> is the major radius of the device, ''L''<sub>''p''</sub> is a characteristic length of the pressure gradient, and ''c''<sub>''s''</sub> is the plasma sound speed. | |||
==Similarity with the Rayleigh–Taylor instability== | |||
The RBM instability is similar to the [[Rayleigh–Taylor instability]] (RT), with Earth gravity <math>\vec g</math> replaced by the effective gravity <math>\vec g_{eff}</math>, except that for the RT instability, <math>\vec g</math> acts on the mass density <math>\rho</math> of the fluid, whereas for the RBM instability, <math>\vec g_{eff}</math> acts on the pressure <math>p</math> of the plasma. | |||
[[Category:Plasma physics]] | |||
[[Category:Stability theory]] | |||
[[Category:Tokamaks]] | |||
Revision as of 17:15, 9 January 2014
Sportspersons Hyslop from Nicolet, usually spends time with pastimes for example martial arts, property developers condominium in singapore singapore and hot rods. Maintains a trip site and has lots to write about after touring Gulf of Porto: Calanche of Piana. The resistive ballooning mode (RBM) is an instability occurring in magnetized plasmas, particularly in magnetic confinement devices such as tokamaks, when the pressure gradient is opposite to the effective gravity created by a magnetic field.
Linear growth rate
The linear growth rate of the RBM instability is given as
where is the pressure gradient is the effective gravity produced by a non-homogeneous magnetic field, R0 is the major radius of the device, Lp is a characteristic length of the pressure gradient, and cs is the plasma sound speed.
Similarity with the Rayleigh–Taylor instability
The RBM instability is similar to the Rayleigh–Taylor instability (RT), with Earth gravity replaced by the effective gravity , except that for the RT instability, acts on the mass density of the fluid, whereas for the RBM instability, acts on the pressure of the plasma.
