Modulational interactions in quantum plasmas

TL;DR

This paper develops a formalism based on the Wigner-Poisson model to analyze modulational interactions of electrostatic fields in collisionless quantum plasmas, enabling studies of turbulence and nonlinear wave coupling.

Contribution

It introduces the kinetic quantum Zakharov equations for non-degenerate and degenerate electrons, advancing understanding of nonlinear wave interactions in quantum plasmas.

Findings

Derived quantum Zakharov equations for different electron degeneracy conditions

Provides a framework for studying turbulence and self-organization in quantum plasmas

Enables analysis of transition from weak to strong turbulence

Abstract

A formalism for treating modulational interactions of electrostatic fields in collisionless quantum plasmas is developed, based on the kinetic Wigner-Poisson model of quantum plasma. This formalism can be used in a range of problems of nonlinear interaction between electrostatic fields in a quantum plasma, such as development of turbulence, self-organization, as well as transition from the weak turbulent state to strong turbulence. In particular, using this formalism, we obtain the kinetic quantum Zakharov equations, that describe nonlinear coupling of high frequency Langmuir waves to low frequency plasma density variations, for cases of non-degenerate and degenerate plasma electrons.