Transition from weak to strong turbulence in magnetized plasmas

• Published in: New journal of physics Vol. 21; no. 4; pp. 43046 - 43061
• Main Authors: Bratanov, Vasil, Mahajan, Swadesh, Hatch, David
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 25.04.2019
• Subjects: Computational fluid dynamics; Computer simulation; Fluid flow; Heat flux; Ion temperature; magnetized plasmas; Physics; plasma physics; plasma turbulence; Plasmas (physics); Temperature gradients; Turbulence models; Two dimensional models
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/ab1148

The scaling of turbulent heat flux with respect to electrostatic potential is examined in the framework of a reduced (4D) kinetic system describing electrostatic turbulence in magnetized plasmas excited by the ion temperature gradient instability. Numerical simulations were instigated by, and tested the predictions of generic renormalized turbulence models like the 2D fluid model for electrostatic turbulence (Zhang and Mahajan 1993 Phys. Fluids B 5 2000). A fundamental, perhaps, universal result of this theory-simulation combination is the demonstration that there exist two distinct asymptotic states (that can be classified as weak turbulence (WT) and strong turbulence (ST) states) where the turbulent diffusivity Q scales quite differently with the strength of turbulence measured by the electrostatic energy φ 2 . In the case of WT Q ∝ φ 2 , while in ST Q has a weaker dependence on the electrostatic energy and scales as φ .