Electron density as a function of time

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SUMMARY

The discussion focuses on deriving the time-dependent continuity equation for electron densities in the atmosphere. The user seeks guidance on the appropriate equations and resources to begin solving this problem. They already possess the initial electron density and can calculate magnetic forces but require a clearer formulation of the continuity equation, which is expected to follow the form n_e(t) = n_e0 * ... .

PREREQUISITES
  • Understanding of the continuity equation in fluid dynamics
  • Familiarity with electron density calculations
  • Basic knowledge of atmospheric physics
  • Proficiency in mathematical modeling techniques
NEXT STEPS
  • Research the continuity equation for charged particles in plasma physics
  • Explore resources on time-dependent differential equations
  • Study the application of the continuity equation in atmospheric science
  • Learn about the effects of magnetic forces on electron densities
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Students and researchers in atmospheric physics, plasma physics, and anyone involved in modeling electron behavior in various environments.

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Homework Statement


Hi!
I really need help with finding time- dependent continuity equation for electron densities in the atmosphere. I've tried to solve it without any success. My question is if someone can give me a good link/link or equations that I can start with.

Homework Equations


See above. I already have the density of the electrons and I can calculate the magnetic force etc. But I need to see how the equation for this problem looks like. I assume that it should be something like
n_e(t)=n_e0*...
Thanks!

The Attempt at a Solution

 
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