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Kinetic theory of particles near resonances is a current topic of discussion in plasma physics and astrophysics. We extend this discussion to the kinetic theory of the interaction between alpha particles (energetic particles predicted to…

Plasma Physics · Physics 2025-01-08 Elizabeth A. Tolman , Peter J. Catto

The onset and characteristics of Micro-Tearing Modes (MTM) in the core of spherical (NSTX) and conventional tokamaks (ASDEX-UG and JET) are studied through local linear gyrokinetic simulations with gyro [J. Candy and E. Belli, General…

Plasma Physics · Physics 2015-06-12 S. Moradi , I. Pusztai , W. Guttenfelder , T. Fülöp , A. Mollén

This study investigates how two- and three-wave configurations govern particle escape and transport in tokamak edge plasmas. Using a Hamiltonian model derived from drift-wave turbulence, we analyze test particle dynamics through Poincar\'e…

Chaotic Dynamics · Physics 2025-06-26 P. Haerter , E. D. Leonel , R. L. Viana

High-order plasma shaping (mainly elongation and shift, as opposed to low-order toroidicity) is shown, under certain conditions, to open gaps in the coupled shear-Alfv\'{e}n and acoustic continua at frequencies significantly above the…

Plasma Physics · Physics 2021-07-30 Paulo Rodrigues , Francesca Cella

The goal of this investigation was to derive strictly new properties of chaotic systems and their mutual relations. The generalized Fokker-Planck equation with a non stationary diffusion has been derived and used for chaos analysis. An…

Chaotic Dynamics · Physics 2014-07-29 Sergey A. Kamenshchikov

A 2D nonlinear model for the electrical potential in the edge plasma in a tokamak generates a stiff problem due to the low resistivity in the direction parallel to the magnetic field lines. An asymptotic-preserving method based on a…

Numerical Analysis · Mathematics 2014-07-07 Philippe Angot , Thomas Auphan , Olivier Guès

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

The self-regulation of cosmic ray (CR) transport in the interstellar and intracluster media has long been viewed through the lenses of linear and quasilinear kinetic plasma physics. Such theories are believed to capture the essence of CR…

High Energy Astrophysical Phenomena · Physics 2019-09-04 Cole Holcomb , Anatoly Spitkovsky

Astrophysical and high-energy-density laboratory plasmas often have large-amplitude, sub-Larmor-scale electromagnetic fluctuations excited by various kinetic-streaming or anisotropy-driven instabilities. The Weibel (or the filamentation)…

High Energy Astrophysical Phenomena · Physics 2017-05-10 Mikhail V. Medvedev

The effect of electrostatic microturbulence on fast particles rapidly decreases at high energy, but can be significant at moderate energy. Previous studies found that, in addition to changes in the energetic particle density, this results…

Plasma Physics · Physics 2018-12-26 George J. Wilkie

Following the analysis on linear spectra of shear Alfv\'en fluctuations excited by energetic particles (EPs) in the Divertor Tokamak Test (DTT) facility plasmas [T. Wang et al., Phys. Plasmas 25, 062509 (2018)], in this work, nonlinear…

Plasma Physics · Physics 2019-01-30 Tao Wang , Xin Wang , Sergio Briguglio , Zhiyong Qiu , Gregorio Vlad , Fulvio Zonca

Balanced double-null configurations are of general interest for boundary plasma physics, and they have been proposed for some future designs. Experimental observations demonstrate absence of plasma fluctuations in tokamak high-field side…

Plasma Physics · Physics 2024-10-11 Maxim V. Umansky

A two dimensional flow model is introduced with deterministic behavior consisting of bursts which become successively larger, with longer interburst time intervals between them. The system is symmetric in one variable x and there are bursts…

Chaotic Dynamics · Physics 2009-11-11 J. M. Finn , E. R. Tracy , W. E. Cooke , A. S. Richardson

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…

Plasma Physics · Physics 2020-01-17 Vinicius Duarte , Nikolai Gorelenkov

Electromagnetic (EM) instabilities and turbulence driven by the electron-temperature gradient are considered in a local slab model of a tokamak-like plasma. The model describes perturbations at scales both larger and smaller than the…

Plasma Physics · Physics 2022-08-30 T. Adkins , A. A. Schekochihin , P. G. Ivanov , C. M. Roach

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

Plasma Physics · Physics 2015-06-23 Fulvio Zonca , Liu Chen , Sergio Briguglio , Giuliana Fogaccia , Gregorio Vlad , Xin Wang

A nonresonant cosmic-ray-current-driven instability may operate in the shock precursors of young supernova remnants and be responsible for magnetic-field amplification, plasma heating and turbulence. Earlier simulations demonstrated…

High Energy Astrophysical Phenomena · Physics 2018-01-08 Oleh Kobzar , Jacek Niemiec , Martin Pohl , Artem Bohdan

Strong nonlinear effects combined with diffusive coupling may give rise to unpredictable evolution in spatially extended deterministic dynamical systems even in the presence of a fully negative spectrum of Lyapunov exponents. This regime,…

Chaotic Dynamics · Physics 2009-11-07 F. Ginelli , R. Livi , A. Politi

Turbulence, namely, irregular fluctuations in space and time characterize fluid flows in general and atmospheric flows in particular.The irregular,i.e., nonlinear space-time fluctuations on all scales contribute to the unpredictable nature…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

Turbulence in tokamaks generates radially sheared zonal flows. Their oscillatory counterparts, geodesic acoustic modes (GAMs), appear due to the action of the magnetic field curvature. The GAMs can be driven unstable by an anisotropic…

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