Analytical nonlinear collisional dynamics of near-threshold eigenmodes

Abstract

A closed-form analytical solution is found for the nonlinear dynamics of isolated, near-threshold waves in the presence of strong scattering. The proposed solution can be useful in verifying codes across several disciplines, including Alfvénic instabilities and thermal plasma turbulence in fusion plasmas and studies of viscous shear flows in fluid dynamics, as well as a rapid means for predicting and analyzing experimental outcome.

References in corpus (5)

• Role of kinetic instability in runaway electron avalanche and elevated critical electric fields
• Prediction of Nonlinear Evolution Character of Energetic-Particle-Driven Instabilities
• Onset of nonlinear structures due to eigenmode destabilization in tokamak plasmas
• Validating modelling assumptions of alpha particles in electrostatic turbulence
• Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode

Cited by in corpus (4)

• The collisional resonance function in discrete-resonance quasilinear plasma systems
• Effect of the neutral beam injector operational regime on the Alfven eigenmode saturation phase in DIII-D plasma
• Microturbulence-mediated route for energetic ion transport and Alfvénic mode intermittency in tokamaks
• Analytic quasi-steady evolution of a marginally unstable wave in the presence of drag and scattering