Relaxational polarization of dielectrics

Abstract

It follows from the foregoing that the main equations for the static and complex dielectric permittivity have now been sufficiently completely formulated, allowing the permittivity to be rigorously determined with short-range interaction taken into account. In the first case, this involves the use of the Gibbs distribution, and in the second the Kubo formalism. However, although “... the development of equilibrium statistical mechanics may be regarded as complete” (from the American foreword to [14]), the reduction of the Gibbs distribution to take into account only the dipole -dipole interactions of nearest-neighbor molecules, as is done in the Kirkwood and Frohlich theories, cannot be regarded as entirely satisfactory. For such an approach, it is necessary to know the accurate structure of the molecule and the position of the nearest-neighbor molecules, which requires special investigations. In addition, other forms of interaction are omitted, and elastic polarization is not taken rigorously into account.