Plotting Potential in Plasma Sheath

In summary, the conversation revolves around plotting the potential of quasi-neutral plasma as a function of length. The plasma potential is expected to drop at the front of the wall due to particle acceleration by the electric field. The individual is trying to plot the potential with a specific length, but is unable to find the exact solution. They propose to use Excel and request suggestions or references. Baluncore offers to help and asks for a drawing or sketch showing the boundary positions and potentials. The individual clarifies that it is a 1-dimensional problem in several Debye lengths and they have experimental data they want to compare with the model.
  • #1
niranama
2
0
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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  • #2
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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Likes sophiecentaur
  • #3
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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