Influence of toroidal flow on stationary density of collisionless plasmas
Elias Laribi, Shun Ogawa, Guilhem Dif-Pradalier, Alexei Vasiliev,, Xavier Garbet, Xavier Leoncini
TL;DR
This paper investigates how toroidal and azimuthal flows influence the stationary density and confinement stability of collisionless plasmas in toroidal geometries, using self-consistent solutions of the Maxwell-Vlasov equations.
Contribution
It develops a self-consistent framework for stationary plasma equilibria with non-flat density profiles considering toroidal flows.
Findings
Azimuthal flow can ensure radial confinement.
Toroidal flow significantly enhances plasma confinement.
No unstable points emerge in the effective Hamiltonian, indicating stability.
Abstract
Starting from the given passive particle equilibrium particle cylindrical profiles, we built self-consistent stationary conditions of the Maxwell-Vlasov equation at thermodynamic equilibrium with non-flat density profiles. The solutions to the obtained equations are then discussed. It appears that the presence of an azimuthal (poloidal) flow in the plasma can insure radial confinement, while the presence of a longitudinal (toroidal) flow can enhance greatly the confinement. Moreover in the global physically reasonable situation, we find that no unstable point can emerge in the effective integrable Hamiltonian of the individual particles, hinting at some stability of the confinement when considering a toroidal geometry in the large aspect ratio limit.
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