Steady-state tokamak research: Core physics

M Kikuchi, M Azumi - Reviews of Modern Physics, 2012 - APS
Tokamaks have demonstrated excellent plasma confinement capability because of their
symmetry but has an intrinsic drawback because of their pulsed inductive operation. Efforts …

Isomagnetovortical perturbations and wave energy of MHD flows

Y Fukumoto, R Zou - Reviews of Modern Plasma Physics, 2023 - Springer
The ideal magnetohydrodynamics (MHD) is a Hamiltonian system of infinite degrees of
freedom and wave energy plays an important role in stability and bifurcation of a steady …

Frontiers in fusion research II

M Kikuchi, M Azumi - Introduction to modern tokamak physics. Heidelberg …, 2015 - Springer
The purpose of this monograph is to provide an introduction to modern tokamak physics, as
an extension of our review paper “Steady State Tokamak Research—Core Physics” …

Formal stability in Hamiltonian fluid models for plasmas

E Tassi - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
We review the progress made, during the last decade, on the analysis of formal stability for
Hamiltonian fluid models for plasmas, carried out by means of the energy-Casimir (EC) …

Nambu Bracket for 3D Ideal Fluid Dynamics and Magnetohydrodynamics

Y Fukumoto, R Zou - Progress of Theoretical and Experimental …, 2024 - academic.oup.com
The ideal magnetohydrodynamics (MHD) as well as the ideal fluid dynamics is governed by
a Hamilton equation with respect to the Lie–Poisson bracket. The Nambu bracket manifestly …

New construction of the magnetohydrodynamic spectrum of stationary plasma flows. II. Rayleigh–Taylor and Kelvin–Helmholtz instability

JP Goedbloed - Physics of Plasmas, 2009 - pubs.aip.org
New construction of the magnetohydrodynamic spectrum of stationary plasma flows. II.
Rayleigh–Taylor and Kelvin–Helmholtz instability | Physics of Plasmas | AIP Publishing Skip to …

Mode signature and stability for a Hamiltonian model of electron temperature gradient turbulence

E Tassi, PJ Morrison - Physics of Plasmas, 2011 - pubs.aip.org
Stability properties and mode signature for equilibria of a model of electron temperature
gradient (ETG) driven turbulence are investigated by Hamiltonian techniques. After deriving …

Lagrangian approach to weakly nonlinear stability of elliptical flow

Y Fukumoto, M Hirota, Y Mie - Physica Scripta, 2010 - iopscience.iop.org
Rotating flows with elliptically strained streamlines suffer from parametric resonance
instability between a pair of Kelvin waves whose azimuthal wavenumbers are separated by …

Wave-action conservation law for eigenmodes and continuum modes

M Hirota, S Tokuda - Physics of Plasmas, 2010 - pubs.aip.org
Invariance of wave-action for eigenmodes and continuum modes around quasistationary
equilibrium state is investigated in a general framework that allows for the ideal …

Variational formulation for weakly nonlinear perturbations of ideal magnetohydrodynamics

M Hirota - Journal of Plasma Physics, 2011 - cambridge.org
A new equation of motion that governs weakly nonlinear phenomena in ideal
magnetohydrodynamics (MHDs) is derived as a natural extension of the well-known …