Analytical model of one-dimensional nonstationary dynamics of single particle in acoustic and electric fields

Abstract

This paper presents the results of calculations of the dynamics of an electrically neutral and electrically charged particle in a closed channel. A mathematical model of the dynamics of a single particle in an acoustic field is presented, in which the potential of the acoustic field is given by a one-dimensional linear wave equation. The dynamics of the particle was described by a differential equation that puts the dependence of the particle velocity on the forces applied to it - the Stokes force acting from the side of the acoustic field, and the Coulomb force acting from the side of the electric field. It is revealed that the amplitude of oscillations of an electrically neutral particle is less than the amplitude of oscillations of an electrically charged particle in an electric field. It is determined that at a small amplitude of the piston oscillations, the amplitude of the change in the speed of an electrically charged particle under the action of electric field forces exceeds the amplitude of the change in the speed of an electrically neutral particle. In this paper, we analyzed the influence on the dynamics of an electrically charged particle in an acoustic field for stationary and nonstationary distributions of the electric field potential. The paper presents calculations of the dynamics of an electrically charged particle in a periodic electric field with different frequencies of electric field variation. It was found that when a particle is exposed to an alternating electric field that is in phase with the gas velocity field, the particle velocity increases, if the frequency of the alternating electric field is in antiphase with the gas velocity, then the particle velocity decreases. It is determined that if a stationary electric field acts on a particle, then the particle drifts to that part of the channel to which a potential is applied, the sign of which is opposite to the sign of the particle charge.