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Edge plasma turbulence is critical to the performance of magnetic confinement fusion devices. Towards better understanding edge turbulence in both theory and experiment, a custom-built physics-informed deep learning framework constrained by…

Plasma Physics · Physics 2022-05-17 Abhilash Mathews

In this work, we present first-of-their-kind nonlinear local gyrokinetic simulations of electromagnetic turbulence at mid-radius in the burning plasma phase of the conceptual high-$\beta$, reactor-scale, tight-aspect-ratio tokamak STEP…

For a magnetised plasma in a straight magnetic guide field, we derive a set of four-dimensional kinetic equations, which can capture electromagnetic turbulence in the drift kinetic limit. To do so, we start from the gyrokinetic equations,…

Plasma Physics · Physics 2022-03-09 Evgeny A. Gorbunov , Bogdan Teaca

Developing a quantitative understanding of wave plasma processes in the lower ionosphere requires a reasonably accurate theoretical description of the underlying physical processes. For such highly collisional plasma environment as the…

Plasma Physics · Physics 2024-07-22 Y. S. Dimant

In this work, we modify the standard flux tube simulation domain to include arbitrary ion gyroradius-scale variation in the radial profile of the safety factor. To determine how to appropriately include such a modification, we add a strong…

Plasma Physics · Physics 2022-12-14 Justin Ball , Stephan Brunner

A theory of non-local linear ion-temperature-gradient (ITG) drift modes while retaining non-adiabatic electrons is presented, extending the previous work [S. Moradi, et al {\em Phys. Plasmas} {\bf 18}, 062106 (2011)]. A dispersion relation…

Plasma Physics · Physics 2012-08-14 Sara Moradi , Johan Anderson , B. Weyssow

We study a finite Larmor radius model used to describe the ions distributions in the core of a toka-mak plasma, that consist in a gyro-kinetic transport equation, coupled with an electro-neutrality equation. Since the last equation do not…

Analysis of PDEs · Mathematics 2013-05-10 Maxime Hauray , Anne Nouri

We present the first plasma simulations obtained with the code dHybridR, a hybrid particle-in-cell code with fluid electrons and both thermal and energetic ions that retain relativistic dynamics. dHybridR is constructed to study…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Colby C. Haggerty , Damiano Caprioli

The nonlinear gyrokinetic equations describe plasma turbulence in laboratory and astrophysical plasmas. To solve these equations, massively parallel codes have been developed and run on present-day supercomputers. This paper describes…

Computational Physics · Physics 2014-03-31 H. Doerk , F. Jenko

The goal of this paper is to understand from a mathematical point of view the magnetic confinement of plasmas for fusion. Following Fr\'enod and Sonnendr\"ucker \cite{FS2}, we first use two-scale convergence tools to derive a gyrokinetic…

Analysis of PDEs · Mathematics 2010-07-20 Daniel Han-Kwan

Burning plasma performance, transport, and the effect of hydrogen isotope on confinement has been predicted for ITER baseline scenario (IBS) conditions using nonlinear gyrokinetic profile predictions. Accelerated by surrogate modeling [P.…

Plasma Physics · Physics 2024-04-29 N. T. Howard , P. Rodriguez-Fernandez , C. Holland , J. Candy

Two-dimensional gyrokinetics is a simple paradigm for the study of kinetic magnetised plasma turbulence. In this paper, we present a comprehensive theoretical framework for this turbulence. We study both the inverse and direct cascades (the…

Plasma Physics · Physics 2015-05-13 G. G. Plunk , S. C. Cowley , A. A. Schekochihin , T. Tatsuno

In this paper, we demonstrate the efficiency of using semi-Lagrangian discontinuous Galerkin methods to solve the drift-kinetic equation using graphic processing units (GPUs). In this setting we propose a second order splitting scheme and a…

Computational Physics · Physics 2023-03-23 Lukas Einkemmer , Alexander Moriggl

A key uncertainty in the design and development of magnetic confinement fusion energy reactors is predicting edge plasma turbulence. An essential step in overcoming this uncertainty is the validation in accuracy of reduced turbulent…

Plasma Physics · Physics 2022-05-20 Abhilash Mathews , Noah Mandell , Manaure Francisquez , Jerry Hughes , Ammar Hakim

The problem of the linear microtearing mode in a slab magnetised plasma, and its connection to kinetic reconnecting modes, is addressed. Electrons are described using a novel hybrid fluid-kinetic model that captures electron heating, ions…

Plasma Physics · Physics 2015-06-23 A Zocco , N F Loureiro , D Dickinson , R Numata , C M Roach

This paper presents the first gyrokinetic (GK) simulations of edge and scrape-off layer (SOL) turbulence accelerated by a velocity-space spectral approach in the full-f GK code GENE-X. Building upon the original grid velocity-space…

Plasma Physics · Physics 2024-11-15 B. J. Frei , P. Ulbl , J. Trilaksono , F. Jenko

The magnetorotational instability (MRI) is a fundamental mechanism determining the macroscopic dynamics of astrophysical accretion disks. In collisionless accretion flows around supermassive black holes, MRI-driven plasma turbulence…

High Energy Astrophysical Phenomena · Physics 2022-10-26 Fabio Bacchini , Lev Arzamasskiy , Vladimir Zhdankin , Gregory R. Werner , Mitchell C. Begelman , Dmitri A. Uzdensky

A two-fold analysis of electromagnetic core tokamak instabilities in the framework of the gyrokinetic theory is presented. First principle theoretical foundations of the gyrokinetic theory are used to explain and justify the numerical…

Turbulence simulation codes can exploit the flute-like nature of plasma turbulence to reduce the effective number of degrees of freedom necessary to represent fluctuations. This can be achieved by employing magnetic coordinates of which one…

Plasma Physics · Physics 2015-05-18 M. A. Ottaviani

The first detailed comparison between gyrokinetic and gyrofluid simulations of collisionless magnetic reconnection has been carried out. Both the linear and nonlinear evolution of the collisionless tearing mode have been analyzed. In the…

Plasma Physics · Physics 2015-02-20 O. Zacharias , L. Comisso , D. Grasso , R. Kleiber , M. Borchardt , R. Hatzky