Plotting Potential in Plasma Sheath

[niranama]

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!

 

[Baluncore]

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.

 

[niranama]

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.