Adiabatic hydrodynamic modes in dielectric environment in a random electric field

Anton Stupka

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arXiv · 1606.03436

Adiabatic hydrodynamic modes in dielectric environment in a random electric field

Anton Stupka

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Abstract

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.

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Anton Stupka. 2016-03-11. Adiabatic hydrodynamic modes in dielectric environment in a random electric field. https://arxiv.org/abs/1606.03436

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