How Does Potential Difference Relate to Electron or Ion Energy in Plasma?

  • Context: Graduate 
  • Thread starter Thread starter strong_eagle
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Discussion Overview

The discussion centers around the relationship between potential difference and the energy of electrons or ions in plasma. Participants seek to confirm equations and clarify symbols related to their graduate projects in plasma physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests an equation that relates electron or ion energy to the potential difference across plates, indicating uncertainty about their current understanding.
  • Another participant mentions a differential equation (PDE) that needs to be solved to obtain energy, suggesting a more complex relationship than initially considered.
  • Questions arise regarding the meanings of symbols J, H, and R, with one participant providing definitions: J as current density, Hj as heat produced/consumed in a reaction, and Rj as the rate of a reaction.
  • The explanation includes that each reaction in plasma generates heat and can be treated as a source term in the heat equation, which should be solved alongside equations for electron and ion densities for a comprehensive understanding of plasma behavior.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants are still seeking clarification and confirmation of their understanding, indicating ongoing uncertainty and exploration of the topic.

Contextual Notes

Participants express uncertainty about the relationships and equations involved, highlighting the need for further exploration and clarification of definitions and concepts related to plasma physics.

Who May Find This Useful

Graduate students and researchers interested in plasma physics, particularly those working on projects involving electron and ion energy in relation to potential differences.

strong_eagle
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Dear Physicist,
I have my graduate project in plasma, I look for an eqn that relates electron or ion energy whith the potential difference across the plates
Iknow it is look easy but just i want to confirm my information.

THANK ALL OF YOU A LOT
 
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strong_eagle said:
Dear Physicist,
I have my graduate project in plasma, I look for an eqn that relates electron or ion energy whith the potential difference across the plates
Iknow it is look easy but just i want to confirm my information.

THANK ALL OF YOU A LOT

I have a differential equation (PDE) which should be solved to obtain the energy

View attachment 00.bmp
 
oh thanks a lot,
I appreciate your attention & your responce
but what is the symbols J & H & R means
thaaaaaaaaaaaaaaaaaaaaaaaaaaaank u
 
strong_eagle said:
oh thanks a lot,
I appreciate your attention & your responce
but what is the symbols J & H & R means
thaaaaaaaaaaaaaaaaaaaaaaaaaaaank u

J is current density [A/m^2]
Hj is heat produced/consumed in jth reaction
Rj is the rate of jth reaction

every reaction in plasma makes heats and can be considered as a source term in heat equation.
this equation should be solved beside the equations for electron and Ions' densities to give a complete picture of plasma (including reactions).
 
thank u mr. asheg
(^_^)
 

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