Abstract
The generalized approach to the Kim-Gordon electron gas model is proposed. The total density of a crystal is considered as a superposition of densities of individual overlapping ions. The possible distortions of individual ion densities are calculated in the presence of some auxiliary external potentials. The real values of these distortions are calculated by a variational method from the minimum total energy of a crystal. The proper prescription of the ion self-energy with a distorted density is given using the method elaborated in the nonequilibrium thermodynamics. Some examples of the calculation for phonon frequencies are presented and demonstrate a good agreement with experimental data.
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