Journal ArticleDOI
The Gyrokinetic Description of Microturbulence in Magnetized Plasmas
TLDR
The nonlinear gyrokinetics is the major formalism used for both the analytical and numerical descriptions of low-frequency microturbulence in magnetized plasmas and its derivation from noncanonical Lagrangian methods and field-theoretic variational principles is summarized in this article.Abstract:
Nonlinear gyrokinetics is the major formalism used for both the analytical and numerical descriptions of low-frequency microturbulence in magnetized plasmas. Its derivation from noncanonical Lagrangian methods and field-theoretic variational principles is summarized. Basic properties of gyrokinetic physics are discussed, including polarization and the concept of the gyrokinetic vacuum, equilibrium statistical mechanics, and the two fundamental constituents of gyrokinetic turbulence, namely drift waves and zonal flows. Numerical techniques are described briefly, and illustrative simulation results are presented. Advanced topics include the transition to turbulence, the nonlinear saturation of turbulence by coupling to damped gyrokinetic eigenmodes, phase-space cascades, subcritical turbulence, and momentum conservation.read more
Citations
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Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria
E. A. Frieman,Liu Chen +1 more
TL;DR: A nonlinear gyrokinetic formalism for low-frequency (less than the cyclotron frequency) microscopic electromagnetic perturbations in general magnetic field configurations is developed in this paper.
Journal Article
A Theory-Based Transport Model With Comprehensive Physics
TL;DR: In this paper, a new theory-based transport model with comprehensive physics (trapping, general toroidal geometry, fully electromagnetic, electron-ion collisions, impurity ions) has been developed.
Journal ArticleDOI
Multiscale gyrokinetics for rotating tokamak plasmas: fluctuations, transport and energy flows
Ian Abel,Gabriel G. Plunk,E. Wang,Michael Barnes,Steven Cowley,William Dorland,Alexander Schekochihin +6 more
TL;DR: In this paper, the fundamental scale separations present in plasma turbulence are codified as an asymptotic expansion in the ratio ϵ ǫ = ρ i/a of the gyroradius to the equilibrium scale length.
Journal ArticleDOI
Dynamo theories.
TL;DR: In this paper, the authors provide a self-contained graduate-student level introduction to the theory and modelling of the dynamo effect in turbulent fluids and plasmas, blended with a review of current research in the field.
Journal ArticleDOI
A 5D gyrokinetic full- f global semi-Lagrangian code for flux-driven ion turbulence simulations
Virginie Grandgirard,J. Abiteboul,Julien Bigot,T. Cartier-Michaud,Nicolas Crouseilles,Guilhem Dif-Pradalier,C. Ehrlacher,D. Esteve,Xavier Garbet,Philippe Ghendrih,Guillaume Latu,Michel Mehrenberger,C. Norscini,C. Passeron,Fabien Rozar,Yanick Sarazin,Eric Sonnendrücker,Antoine Strugarek,David Zarzoso +18 more
TL;DR: This paper addresses non-linear gyrokinetic simulations of ion temperature gradient (ITG) turbulence in tokamak plasmas by presenting a complete description of the electrostatic Gysela code's multi-ion species version including a numerical scheme, high level of parallelism up to 500k cores and conservation law properties.
References
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Book
Elements of applied bifurcation theory
TL;DR: One-Parameter Bifurcations of Equilibria in continuous-time systems and fixed points in Discrete-Time Dynamical Systems have been studied in this paper, where they have been used for topological equivalence and structural stability of dynamical systems.
Journal ArticleDOI
A universal instability of many-dimensional oscillator systems
TL;DR: In this article, the authors demonstrate the mechanism for a universal instability, the Arnold diffusion, which occurs in the oscillating systems having more than two degrees of freedom, which results in an irregular, or stochastic, motion of the system as if the latter were influenced by a random perturbation even though, in fact, the motion is governed by purely dynamical equations.
Journal ArticleDOI
Zonal flows in plasma—a review
TL;DR: A comprehensive review of zonal flow phenomena in plasmas is presented in this article, where the focus is on zonal flows generated by drift waves and the back-interaction of ZF on the drift waves, and various feedback loops by which the system regulates and organizes itself.
Journal ArticleDOI
Two-dimensional turbulence
Robert H. Kraichnan,D Montgomery +1 more
TL;DR: The theory of two-dimensional turbulence is reviewed and unified, and some hydrodynamic and plasma applications are considered in this paper, where some equations of incompressible hydrodynamics, absolute statistical equilibrium, spectral transport of energy and enstrophy, turbulence on the surface of a rotating sphere, turbulent diffusion, MHD turbulence, and two dimensional superflow are discussed.
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