Graduate Plotting Potential in Plasma Sheath

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SUMMARY

The discussion focuses on plotting the potential of quasi-neutral plasma as a function of length, specifically in a one-dimensional scenario involving several Debye lengths. The user has set initial conditions with equal densities of electrons and protons at 1015 particles per cubic meter, with temperatures of 10 eV for both electrons and ions, and a biased wall potential of -20 eV. Participants suggest that both numerical and analytic solutions exist for the field mapping problem, emphasizing the need for a sketch of boundary positions and potentials for clarity.

PREREQUISITES
  • Understanding of plasma physics concepts, particularly Debye length
  • Familiarity with numerical methods for solving differential equations
  • Proficiency in Excel for data plotting and analysis
  • Knowledge of boundary value problems in electrostatics
NEXT STEPS
  • Research numerical methods for solving one-dimensional electrostatic problems in plasma
  • Learn about Debye shielding and its implications in plasma behavior
  • Explore analytic solutions for potential distribution in plasma sheath
  • Investigate techniques for visualizing plasma potential using Excel
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Researchers and students in plasma physics, engineers working with plasma technologies, and anyone involved in modeling and analyzing plasma behavior in electrostatic environments.

niranama
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Hi! everyone. I'm looking to plot potential of quasi-neutral plasma as a function of length. I know that plasma potential will drop at front of the wall from particle acceleration by electric field. I assume plasma is an electrostatic and cold (less collision). However, I'm trying to plot plasma potential with a length but I can't find the exact solution of potential for plotting. I'm going to assign initial density of electron and proton equally and are 10^15 particle per cubic metre, 10 eV for ellectron and ion temperature, and I gave -20 eV for biased wall potential. If anyone has some suggestion or references, please be kind to provide me. I propose to plot potential by excel. Thanks a lot!
 
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Welcome to PF.

It seems the field mapping problem you have is tractable.
There is a numerical solution, there may also be an analytic solution.

Is this a 2D problem, or an axis symmetrical problem?

Please attach a drawing or sketch to your next post, that shows the boundary positions and scale, along with the boundary potentials.
 
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Baluncore said:
Welcome to PF.

It seems the field mapping problem you have is tractable.
There is a numerical solution, there may also be an analytic solution.

Is this a 2D problem, or an axis symmetrical problem?

Please attach a drawing or sketch to your next post, that shows the boundary positions and scale, along with the boundary potentials.
Hi! Baluncore. My problem is in 1 dimension and in several Debye length. Here I recieved my experimental data and I want to compare with model to find statistical errors and other discussions.
PF-phi-20eV.png
 

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