The nonmodal kinetic theory of the macroscale convective flows of magnetized plasma, generated by the inhomogeneous microturbulenc

TL;DR

This paper develops a nonmodal kinetic theory for macroscale convective flows in magnetized plasma, accounting for microturbulence effects and their influence on large-scale plasma behavior.

Contribution

It introduces a two-scales approach to the Vlasov-Poisson system, modeling the formation and back reaction of inhomogeneous convective flows driven by microturbulence.

Findings

The theory explains the formation of inhomogeneous convective flows.

It describes the back reaction of flows on microturbulence.

It accounts for the slow plasma response to flow development.

Abstract

In this paper, we present the nonmodal kinetic theory of the macroscale two-dimensional compressed-sheared non-diffusive convective flows of a magnetized plasma generated by the inhomogeneous microturbulence. This theory bases on the two-scales approach to the solution of the Vlasov-Poisson system of equations for magnetized plasma, in which the self-consistent evolution of the plasma and of the electrostatic field on the microscales, commensurable with the wavelength of the microscale instabilities and of the ion gyroradius, as well as on the macroscales of a bulk of plasma, is accounted for. It includes the theory of the formation of the macroscale spatially inhomogeneous compressed-sheared convective flows by the inhomogeneous microturbulence, the theory of the back reaction of the macroscale convected flows on the microturbulence, and of the slow macroscale responce of a bulk of plasma on the development of the compressed-sheared convective flows.