Adiabatic hydrodynamic modes in dielectric environment in a random electric field

TL;DR

This paper develops a hydrodynamic model for dielectric materials in a random electric field, incorporating the second moment of electric field strength, and analyzes adiabatic wave propagation with results consistent with sound velocities in ionic crystals.

Contribution

It introduces a new variable representing the second moment of electric field strength into hydrodynamic equations and derives a temporal equation based on Maxwell's equations.

Findings

Good agreement of calculated wave velocities with sound velocities in alkali halide crystals.

The model captures adiabatic wave behavior in dielectric environments with random electric fields.

Theoretical estimates align with experimental data for ionic crystals.

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.