Curl of current density

  • #1
fluidistic
Gold Member
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Hello, I have derived an expression for ##\vec J## in a particular, unusual physical problem in 2D. The expression is different from ##\vec 0## everwhere in the material except at at least two different points.

Can I conclude that the only way for this to occur is that ##\vec J## itself decays to ##\vec 0## the closer it gets to the center of the vortices? I assume that the current density vanishes exactly at the center of vortices of currents.

Also, what can I conclude about the magnetic field?
 

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