To the identification of universal criterion of the charged particles system stability

TL;DR

This paper explores the spectrum of dielectric permittivity in charged particle systems, proposing a technique to extend Kirzhnits' stability criterion from superconducting to general charged systems.

Contribution

It introduces a new technique for identifying the dielectric permittivity spectrum and generalizes a stability criterion to broader charged particle systems.

Findings

Proposed a method for spectrum identification of dielectric permittivity.

Extended Kirzhnits' stability criterion to non-superconducting charged systems.

Provided a universal stability criterion applicable to various charged particle systems.

Abstract

We consider the problem important for the condensed matter physics, superconductivity physics, and electrodynamics of continuous media - the problem of the matter dielectric permittivity possible values spectrum definition. Two ways of the dielectric permittivity values spectrum identification are analyzed. The proposed technique allows the author to complete the universal criterion of stability identified by D. A. Kirzhnits for a system of charged particles by the criterion of stability for a superconducting system of charged particles.