A Plotting Potential in Plasma Sheath

AI Thread Summary
The discussion focuses on plotting the potential of quasi-neutral plasma as a function of length, specifically addressing the drop in plasma potential near a biased wall due to particle acceleration. The user is working with equal initial densities of electrons and protons, set at 10^15 particles per cubic meter, and specified temperatures for electrons and ions. They are seeking suggestions or references for plotting this potential, ideally using Excel. Responses indicate that the field mapping problem is manageable, with potential numerical and analytical solutions available. The user confirms their problem is one-dimensional and spans several Debye lengths, aiming to compare experimental data with their model to assess statistical errors.
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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