Changes between Version 18 and Version 19 of u/bliu/pnfldiff

Timestamp:

08/13/18 15:07:45 (6 years ago)

Author:

Baowei Liu

Comment:

—

u/bliu/pnfldiff

@@ -22 +22 @@
 == Equations ==
 
+
 $ \frac{\partial n_{e}}{\partial t} + \nabla\cdot(n_{e} \bold{u}) = I-r $[[BR]]
 
@@ -37 +38 @@
 
 $\frac{\partial E}{\partial t}=-(\bold{U}_{rel}\cdot\nabla)E-\frac{P}{\rho}(\nabla\cdot \bold{u})-\frac{\Lambda-\Gamma}{\rho}$[[BR]]
+
+Optical depth of the interior:[[BR]]
+
+$\tau=(1-x)n\sigma_{0}r$[[BR]]
+
+$1/n\sigma$ is the UV photon mean free path $\tau$ equals the number of mean free paths in the distance r. $x=n_{e}/n$ is the ionization fraction