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Jim Fuller edited subsection_Joule_Damping_A_gravity__.tex
almost 9 years ago
Commit id: ef7aca825b0308c3ca264d5bab27da7a78766194
deletions | additions
diff --git a/subsection_Joule_Damping_A_gravity__.tex b/subsection_Joule_Damping_A_gravity__.tex
index b94e02c..30ffa84 100644
--- a/subsection_Joule_Damping_A_gravity__.tex
+++ b/subsection_Joule_Damping_A_gravity__.tex
...
\label{eqn:jouleratio2}
\frac{\Gamma_B}{\Gamma_r} = \frac{1}{16 \pi} \frac{\eta}{\kappa} \, .
\end{equation}
Therefore,
for magneto-gravity waves, joule damping cannot exceed thermal damping unless the magnetic diffusivity is significantly larger than the thermal diffusivity. In stellar interiors (and our RGB models), the magnetic diffusivity is typically orders of magnitude smaller than the thermal diffusivity. Therefore joule damping can safely be ignored. We note that the same result occurs if we use the Alfven wave dispersion relation in the first line of equation \ref{eqn:jouleratio}, so joule damping is also unimportant for Alfven waves.