ON COLLECTIVE PROCESSES IN A DENSE ONE-COMPONENT PLASMA

Abstract

This scientific article is devoted to the investigation of collective processes in a dense one component plasma (OCP) with the Coulomb potential of interparticle interaction.

 To calculate the dynamic characteristics of the OCP, the method of moments is proposed. This method is nonperturbative and allows you to restore the desired value for several calculated even frequency moments using the sum rules. In the framework of the method of moments, the accuracy of calculating the dynamic properties of OCP according to its static characteristics increases. In the process of finding the dynamic characteristics of the OCP, it is necessary to determine the form of the Nevanlinna parameter function. In our work, one of the models of this function is proposed. Dynamic structural factors (DSF) were used to investigate collective processes in the OCP. Using the obtained DSF, dispersion and damping decrement of plasma waves are calculated. It should be noted that the analysis of the obtained results indicates the occurrence of an anomalous dispersion of plasma waves with an increase in the coupling parameter. In this case, the damping decrement in a wide range of wave numbers is less than the frequency. This may indicate a weak attenuation of plasma waves. On the basis of the analysis carried out, a conclusion is made about the possibility of the existence of proper waves in the OCP in a wide range of parameters.

Keywords: one-component dense plasma, moment method, dynamic structure factor, dispersion of plasma waves.