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I recall that one of Kittel's solid state books has a good
treatment of this phenomenon under the topic of chemical potenials.
This is also the effect by which a metal placed in an
electrolyte will develop a negative charge, as the metal atoms go into solution
as ions (ie, leaving an electron behind).
This is the mechanism behind the electric cell and occurs not
because of Maxwellian electrodynamics, but in spite of it. (There is no curly E
field or qVxB force in the typical electric cell.)
Understanding of this phenomenon is not to be found in E&M
books but in QM/Solid State books.
Bob
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