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This tag is for questions relating to a non-conducting material called dielectric (or dielectric material). Dielectrics are very much important to explain various phenomena in various fields of physics like solid-state physics, optics, electronics, cell biophysics, etc.
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Landau's derivation of polarization
In "Electrodynamics of Continuous Media" Landau writes the following:
The total charge in the volume of the dielectric is zero; even if it is placed in an electric field we have $\int\bar{\rho}dV=0$. … He states that because the surface integral $\int \mathbf{j} \cdot d\mathbf{f} = 0$ for all cross-sectional areas in a dielectric it means that $\mathbf{j}$ can be written as a rotor of some vector field …