Changes between Version 1 and Version 2 of ResistiveMhd


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Timestamp:
12/30/20 23:43:30 (4 years ago)
Author:
Jonathan
Comment:

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  • ResistiveMhd

    v1 v2  
    44Astrobear uses something like rationalized electromagnetic units (extra factor of $\sqrt{4 \pi}$ in the electric and magnetic fields) - or Lorentz-Heaviside but scaling the $E$ field by $c$ and the charge density $\rho$ (and current $J$ ) by $\frac{1}{c}$
    55
    6 || $E = c E^{LH} = \frac{c }{\sqrt{4\pi}}E^{G}$ ||
    7 || $\rho = \frac{1}{c}\rho^{LH} = \frac{\sqrt{4 \pi} }{c}\rho^{G}$||
    8 || $J = \frac{1}{c} J^{LH} = \frac{\sqrt{4 \pi}}{c} J^{G}$||
    9 || $B = B^{LH} = \frac{1}{\sqrt{4\pi}} B^{G}$ ||
     6|| AstroBEAR || Lorentz-Heaviside || Gaussian ||  Physical Units ||
     7|| $E $ || $ c E^{LH} $ || $ \frac{c }{\sqrt{4\pi}}E^{G}$ || $\mbox{g}^{1/2} \mbox{cm}^{1/2} \mbox{s}^{-2}$ ||
     8|| $\rho $ || $ \frac{1}{c}\rho^{LH} $ ||  $ \frac{\sqrt{4 \pi} }{c}\rho^{G}$ || $\mbox{g}^{1/2} \mbox{cm}^{-5/2}$ ||
     9|| $J$ || $\frac{1}{c} J^{LH} $ || $ \frac{\sqrt{4 \pi}}{c} J^{G}$ || $\mbox{g}^{1/2} \mbox{cm}^{-3/2} \mbox{s}^{-1}$ ||
     10|| $B$ || $B^{LH}$ || $\frac{1}{\sqrt{4\pi}} B^{G}$ || $\mbox{g}^{1/2} \mbox{cm}^{-1/2} \mbox{s}^{-1}$ ||
    1011
    1112Using the approach in the appendix of Jackson, we have