Changes between Version 5 and Version 6 of u/erica/CF_bvn_plot


Ignore:
Timestamp:
11/06/14 18:56:30 (10 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/erica/CF_bvn_plot

    v5 v6  
    11As a measure of magnetic field strength in the pdf, I am going to use the magnetic pressure.
    22
    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:
    44
    55[[latex($P_B = \frac{B^2}{8 \pi}$)]]
     
    2626aka - scaled magnetic pressure.
    2727
    28 Therefore - if I use BE_field as is for my pdf - I will be plotting scaled magnetic pressure vs. scaled density.
     28Therefore - using BE_field as is for my pdf - means '''I will be plotting scaled magnetic pressure''' vs. scaled number density.
    2929
    3030What is pscale?
     
    3636[[latex($nscale=tempscale=1$)]]
    3737
    38 which let's me do a cute trick -
     38which '''let's me do a cute trick''' -
    3939
    40 [[latex($w$)]]
     40[[latex($P_B(cu) = \frac{P_B(cgs)}{nscale*K_B*tempscale}$)]]
    4141
    42 [[latex($w$)]]
     42which implies
     43
     44[[latex($P_B(cu)*nscale*tempscale = P_B(cu)\frac{K}{cm^3} = \frac{P_{B}(cgs)}{K_B(cgs)}$)]]
     45
     46That 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
     50which is still a scaled magnetic pressure -- but perhaps a more physically motivated one for readers..
     51
     52This of course is plotted against number density, which again given nscale = 1, is already in units of cm^-3^.
    4353
    4454
     
    4656
    4757
     58
     59
     60