Physical significance of growth rate in plasma

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SUMMARY

The discussion focuses on the physical significance of growth rates in magnetized plasma, specifically in relation to dispersion and instability curves derived from kinetic theory. The growth rates and frequencies are normalized to the cyclotron frequency of protons, which is crucial for understanding plasma behavior. Participants emphasize the importance of referencing scholarly articles to deepen comprehension of these concepts, particularly in the context of electrostatic dust cyclotron instability and higher harmonic electrostatic ion cyclotron waves.

PREREQUISITES
  • Kinetic theory of plasma
  • Cyclotron frequency of protons
  • Dispersion relation analysis
  • Understanding of instability curves in plasma physics
NEXT STEPS
  • Study the article on collisional effects on electrostatic dust cyclotron instability from the Journal of Plasma Physics
  • Examine the instability of higher harmonic electrostatic ion cyclotron waves in negative ion plasma
  • Learn about the mathematical formulation of dispersion relations in magnetized plasmas
  • Research the implications of normalized growth rates in plasma stability analysis
USEFUL FOR

Graduate students, plasma physicists, and researchers focusing on magnetized plasma behavior and instability analysis will benefit from this discussion.

sreerajt
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Let us say that we have a dispersion relation curve and associated instability curve as shown below for a magnetised plasma, which have been formulated through kinetic theory. The frequencies and growth rate have been normalized w.r.t. cyclotron frequency of proton.
test.jpg
My question is: what does this both plot physically signifies?
 

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sreerajt said:
......
My question is: what does this both plot physically signifies?
You have marked your thread with an "A" tag signifying post graduate level ...
So what study / readings have you been doing so far ... show some links
show us what parts of them that you do not understand so that people here might
be able to help you
 
davenn said:
You have marked your thread with an "A" tag signifying post graduate level ...
So what study / readings have you been doing so far ... show some links
show us what parts of them that you do not understand so that people here might
be able to help you
This kind of graph appears at many places where one invoke kinetic theory to study plasma. E.g. kindly see research article at:
  1. https://www.cambridge.org/core/jour...-instability/86419F5E132B4437D6DDAD0469179B6C
  2. https://www.cambridge.org/core/jour...e-ion-plasma/2685E71532119D417D1C6B8E1FE23FD7
 

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