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\begin{document}

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\section*{current}

The term \textbf{current} in physics denotes either the gradient of the density of a field or of matter or the gradient of a wave function or of an order parameter. Most currents (though not all) in that sense satisfy some conservation laws, e.g. the current of electric charge, and so are known as [[conserved currents]]. This leads to the notion of [[conserved charge]], see there.

In analysis, and specially in geometric measure theory, there is a different notion also called `current'. It is a [[generalized function]] (distribution in the sense of Schwartz and others) with values in [[differential form]]s. See at [[current (distribution theory)]] also [[integral current]].

Regarding the material connotations it is not very surprising that the physics notion of current is related to distribution of stuff, and that analysis notion to distribution in Schwartz sense. Thus the two notions of distribution (and the third, distribution of hyperplanes or subspaces in tangent bundle on a manifold) and the two notions of current are related.

[[!redirects currents]]



\end{document}