arXiv subjects

Anton Stupka

Publications and source records attributed to Anton Stupka.

3 recordsLinked to original sources

arXiv2016

Adiabatic hydrodynamic modes in dielectric environment in a random electric field

Dielectric is considered in the electric field that has equal to zero the first moment and different from zero the second moment of strength in an equilibrium. The equations of ideal hydrodynamics are obtained in such a field for the case of the neglect of dissipative effects. A new variable - the second moment of electric field strength is included in the Euler equation. A temporal equation for this variable is obtained on the basis of Maxwell equations in the hydrodynamic approximation. Adiabatic one-dimensional waves of small amplitude are studied in this system. Proceeding from the theoretical estimation of the intracrystalline field in an ionic crystal the good consent of the obtained numerical values of transversal velocity of this wave with transversal velocity of sound for isotropic crystals of alkali halides is found.

physics.class-ph↗

arXiv2016

Low-frequency electromagnetic field in a Wigner crystal

Long-wave low-frequency oscillations are described in a Wigner crystal by generalization of the reverse continuum model for the case of electronic lattice. The internal self-consistent long-wave electromagnetic field is used to describe the collective motions in the system. The eigenvectors and eigenvalues of the obtained system of equations are derived. The velocities of longitudinal and transversal sound waves are found.

physics.plasm-ph↗

arXiv2016

Optical vibrations in alkali halide crystals

We consider long-wave phonon-polaritons and longitudinal optical phonons in alkali-halide ionic crystals. The model of point charges that are polarized in the self-consistent electromagnetic field in a dielectric environment is used. The standard dispersion laws for both branches of phonon-polaritons and longitudinal optical phonons are obtained. The transversal optical phonon frequency is found from the electrostatic equilibrium condition. It is proved by comparison with tabular data that the found frequency coincides with the ion plasma frequency multiplied on the relation $\sqrt{(\varepsilon_{\infty}+2)/(3(\varepsilon_0-\varepsilon_\infty))},$ where $\varepsilon_{\infty}$ and $\varepsilon_0$ are the high-frequency dielectric constant and the static one respectively.

cond-mat.mtrl-sci↗