dispersion relation normalization ion acoustic

hello there, i need help, i want to plot graph of the following relation,
to do so i need to make equation dimensionless, plz help me

Answer 1

[Bjorn Gustavsson]

Expand the definitions of and . Then you get a proper expression for the ion-accoustic dispersion relation. To plot it in some dispresion-less fashion, have a think about what is the natural quantities to use for normalization? Speed of light? Proton mass? Fine structure constant? Plasma frequency? Boltzmann's konstant? Debye Length?

If you do step 1 and think about which properties you can use for normalization you should get it.

HTH