Changes between Version 2 and Version 3 of u/erica/OutflowFeedback

Timestamp:

10/08/15 17:10:04 (10 years ago)

Author:

Jonathan

Comment:

—

u/erica/OutflowFeedback

@@ -9 +9 @@
 
 
+where 
 
+$\vec{A}_{\vec{k}}$ is a random complex vector subject to
+
+$|\vec{A}_{\vec{k}}| \propto k^{\beta}$ for $k < k_{\max}$
+
+and
+
+$\vec{A}_{\vec{k}} \cdot \vec{k} = 0$
+
+We also want $\vec{a}$ to be real, so
+
+$\vec{A}_{\vec{-k}} = \vec{A}_{\vec{k}}$
+
+However, in the code - it looks like both are chosen randomly, and then the real part of the transform is taken.  I have to think about the implications of this...
+
+[[latex($\vec{a}(x,y,z) = \mbox{REAL} \left ( \sum_{k}{A_{\vec{k}}e^{i(\vec{k} \cdot \vec{x})}} \right )$)]]
+
+
+
+
+
+
+