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
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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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  • #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
 

Related to Plotting Potential in Plasma Sheath

What is a plasma sheath?

A plasma sheath is a boundary layer that forms at the interface between a plasma and a solid surface or another medium. It typically consists of a region where there is a significant drop in potential, leading to the formation of an electric field that influences the behavior of charged particles within the plasma.

Why is it important to plot the potential in a plasma sheath?

Plotting the potential in a plasma sheath is crucial for understanding the electric field distribution, which in turn affects the motion of ions and electrons. This information is essential for applications such as plasma processing, fusion research, and space physics, where precise control and prediction of plasma behavior are required.

What methods are commonly used to plot the potential in a plasma sheath?

Common methods for plotting the potential in a plasma sheath include analytical solutions of the Poisson equation, numerical simulations using tools like Particle-In-Cell (PIC) codes, and experimental measurements using Langmuir probes or other diagnostic tools. Each method has its own advantages and limitations depending on the specific conditions and requirements of the study.

What are the typical characteristics of the potential profile in a plasma sheath?

The potential profile in a plasma sheath typically shows a rapid drop near the boundary, creating a strong electric field. This drop is often exponential in nature, and the sheath potential can be influenced by factors such as plasma density, electron temperature, and the material properties of the boundary surface.

How does the Debye length affect the potential in a plasma sheath?

The Debye length is a characteristic length scale over which electric potentials are screened out in a plasma. It affects the thickness of the plasma sheath and the potential gradient. A smaller Debye length indicates a thinner sheath with a steeper potential gradient, while a larger Debye length results in a thicker sheath with a more gradual potential change.

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