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

[strong_eagle]

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

 

[asheg]

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

 

[strong_eagle]

oh thanks a lot,
I appreciate your attention & your responce
but what is the symbols J & H & R means
thaaaaaaaaaaaaaaaaaaaaaaaaaaaank u

 

[asheg]

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).

 

[strong_eagle]

thank u mr. asheg
(^_^)