Changes between Version 23 and Version 24 of u/erica/radtimescales


Ignore:
Timestamp:
04/04/16 13:21:40 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/radtimescales

    v23 v24  
    163163Tackling this slightly differently could be starting from the optically thick limit, [[latex($\lambda\approx 1/3$)]]. Then, we should be able to predict the timescale over which we would see a well-defined 'diffusion wave' propagate through the grid.
    164164
    165 = Diffusion estimate for optically thick 1 solar mass core =
     165= Diffusion estimate for optically thick, 1 solar mass core =
    166166
    167167If we let,
    168168
    169 [[latex($R=1$)]], then we have
    170 
    171 [[latex($l=\frac{1}{\kappa_R \rho}=h$)]]
    172 
    173 and from before,
    174 
    175 [[latex($M=\rho l^3$)]]
     169[[latex($R=\frac{l}{h}=1$)]] (so that [[latex($\lambda\approx 1/3$)]]), we have
     170
     171[[latex($\boxed{l=h}$)]]
     172
     173From before,
     174
     175[[latex($\boxed{1 M_\odot =\rho l^3}$)]]
    176176
    177177Solving these two equations gives: