Nonlinear gyrokinetic equations play a fundamental role in our understanding of the long-
time behavior of strongly magnetized plasmas. The foundations of modern nonlinear …

Dynamics of shear Alfvén waves and energetic particles are crucial to the performance of
burning fusion plasmas. This article reviews linear as well as nonlinear physics of shear …

This chapter reviews the progress accomplished since the redaction of the first ITER Physics
Basis (1999 Nucl. Fusion 39 2137–664) in the field of energetic ion physics and its possible …

A non-linear MHD code, named JOREK, is under development with the aim of studying the
non-linear evolution of the MHD instabilities thought to be responsible for edge localized …

The problem of modelling the self-consistent interaction of an energetic particle ensemble
with a wave spectrum specific to magnetically confined plasmas in a torus is discussed …

A general theoretical framework for investigating the nonlinear dynamics of phase space
zonal structures is presented in this work. It is then, more specifically, applied to the limit …

A finite element method based on bicubic Bézier surfaces is applied to the simulation of
MHD instabilities relevant to magnetically confined fusion. The major advantage of the new …

Nonlinear magnetohydrodynamic (MHD) effects on Alfvén eigenmode evolution were
investigated via hybrid simulations of an MHD fluid interacting with energetic particles. The …

The theoretical framework of the general fishbone-like dispersion relation (GFLDR),
presented and discussed in the Companion Paper [Phys. Plasmas 21, 072120 (2014)], is …

The excitation of collective instabilities by super-thermal particles in hot plasmas and the
related transport processes attract increasing interest due to their fundamental challenges …