On the Turbulent Behavior of a Magnetically Confined Plasma near the X-Point

  title={On the Turbulent Behavior of a Magnetically Confined Plasma near the X-Point},
  author={Giovanni Montani and Nakia Carlevaro and Brunello Tirozzi},
We construct a model for the turbulence near the X-point of a Tokamak device and, under suitable assumptions, we arrive to a closed equation for the electric field potential fluctuations. The analytical and numerical analysis is focused on a reduced two-dimensional formulation of the dynamics, which allows a direct mapping to the incompressible Navier-Stokes equation. The main merit of this study is to outline how the turbulence near the X-point, in correspondence to typical operation… 


Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
A simple nonlinear equation is derived to describe the pseudo‐three‐dimensional dynamics of a nonuniform magnetized plasma with Te≫Ti by taking into account the three‐dimensional electron, but
Plasma Edge Turbulence
Model mode-coupling equations for the resistive drift-wave instability are derived and numerically solved to study the properties of turbulence near a plasma edge. The wave-number spectrum of the
Self-sustained collisional drift-wave turbulence in a sheared magnetic field.
  • Scott
  • Physics
    Physical review letters
  • 1990
It is found that the corresponding turbulence is self-sustaining if initialized at nonlinear amplitude, and several important features of tokamak edge fluctuations are reproduced by these single-rational-surface nonlinear dynamics.
Evidence for the double cascade scenario in two-dimensional turbulence.
By forcing the system at intermediate scales, narrow but clear inertial ranges develop both for the inverse and for direct cascades where the two Kolmogorov laws for structure functions are simultaneously observed.
Tokamak edge turbulence: background theory and computation
The basic scales of motion and computational requirements for low frequency fluid drift turbulence are summarized in tutorial fashion, with emphasis on the tokamak edge region. Parameters are given
Two-dimensional turbulence in inviscid fluids or guiding center plasmas
Analytic theory for two‐dimensional turbulent equilibria for the inviscid Navier–Stokes equation (or the electrostatic guiding center plasma) is tested numerically. A good fit is demonstrated for the
Two-dimensional turbulence
The theory of turbulence in two dimensions is reviewed and unified and a number of hydrodynamic and plasma applications are surveyed. The topics treated include the basic dynamical equations,
Two-Dimensional Turbulence
In physical systems, a reduction in dimensionality often leads to exciting new phenomena. Here we discuss the novel effects arising from the consideration of fluid turbulence confined to two spatial
Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals
Starting from the complete short mean-free path fluid equations describing magnetized plasmas, assuming that plasma pressure is small compared to magnetic pressure, considering field-aligned plasma