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Old Jan 23rd 2016, 08:18 PM   #1
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about the permittivity of a mixture

I've read Landau's Electrodynamics of Continuous Media (second edition).In chapter II §9,the author uses a method of "averaging in two stages".
and the first averaging is over a given δε.
In my opinion,since the particles are assumed to be isotropic, δε is a constant,and thus gradδε=0,and (9.4)gives δEx=Const.
However, it seems that the author operates the δε as a function and gets the final result ignoring a constant from integral. Why?



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