Random and quasi-coherent aspects in particle motion and their effects on transport and turbulence evolution

TL;DR

This paper investigates how quasi-coherent structures in particle trajectories influence transport and turbulence evolution in two-dimensional incompressible flows, revealing nonlinear effects and the role of trapping in plasma turbulence.

Contribution

It introduces a detailed analysis of quasi-coherent trajectory structures and their impact on transport coefficients and turbulence dynamics in plasma physics.

Findings

Trapping leads to non-Gaussian statistics and flow structures.

Trajectory structures affect nonlinear damping and zonal flow generation.

Ion diffusion can inhibit the transition to nonlinear turbulence regimes.

Abstract

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not strongly perturbed. The trajectories are, in these conditions, random sequences of large jumps and trapping or eddying events. Trapping determines quasi-coherent trajectory structures, which have a micro-confinement effect that is reflected in the transport coefficients. They determine non-Gaussian statistics and flows associated to an average velocity. Trajectory structures also influence the test modes on turbulent plasmas. Nonlinear damping and generation of zonal flow modes is found in drift turbulence in uniform magnetic field. The coupling of test particle and test mode studies permitted to evaluate the self-consistent evolution of the drift turbulence in an iterated approach. The results show an important nonlinear effect of ion diffusion, which can prevent the transition to the nonlinear regime at small drive of the instability. At larger drive, quasi-coherent trajectory structures appear and they have complex effects on turbulence.