@johncarlosbaez
I have a couple of questions about your blog post.
Firstly, where can I learn more about magnetic diffusion, or more generally, vector valued diffusion?
I'm very interested in this idea but I can't find a good intuition for the diffusion of a vector valued function in the plane. For example, when the field diffuses out to points where the field was previously zero, is the diffusion somehow the vector average of the inducing non-zero vectors?
I've searched Wikipedia but can't find a nice, basic explanation for how vector-valued diffusion might work.
Secondly, and more trivially, I got confused by the seemingly twice defined quantity in your post shown in the screenshots below. They seem like the same quantity but with two different names (mass current vs momentum density)?
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