Changes between Version 5 and Version 6 of u/erica/CF_bvn_plot
- Timestamp:
- 11/06/14 18:56:30 (10 years ago)
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u/erica/CF_bvn_plot
v5 v6 1 1 As a measure of magnetic field strength in the pdf, I am going to use the magnetic pressure. 2 2 3 Magnetic pressure is an energy density, and in free space in cgs, is given by:3 '''Magnetic pressure is an energy density''', and in free space in cgs, is given by: 4 4 5 5 [[latex($P_B = \frac{B^2}{8 \pi}$)]] … … 26 26 aka - scaled magnetic pressure. 27 27 28 Therefore - if I use BE_field as is for my pdf - I will be plotting scaled magnetic pressure vs. scaleddensity.28 Therefore - using BE_field as is for my pdf - means '''I will be plotting scaled magnetic pressure''' vs. scaled number density. 29 29 30 30 What is pscale? … … 36 36 [[latex($nscale=tempscale=1$)]] 37 37 38 which let's me do a cute trick-38 which '''let's me do a cute trick''' - 39 39 40 [[latex($ w$)]]40 [[latex($P_B(cu) = \frac{P_B(cgs)}{nscale*K_B*tempscale}$)]] 41 41 42 [[latex($w$)]] 42 which implies 43 44 [[latex($P_B(cu)*nscale*tempscale = P_B(cu)\frac{K}{cm^3} = \frac{P_{B}(cgs)}{K_B(cgs)}$)]] 45 46 That is, the LHS, which are the values I will be plotting, are in''' units of K/cm^3^''', and therefore instead of calling it something like 'magnetic pressure in computational units', I can call it: 47 48 [[latex($P_B K_B ^{-1} (\frac{K}{cm^3})$)]] 49 50 which is still a scaled magnetic pressure -- but perhaps a more physically motivated one for readers.. 51 52 This of course is plotted against number density, which again given nscale = 1, is already in units of cm^-3^. 43 53 44 54 … … 46 56 47 57 58 59 60