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Beams of energetic runaway electrons are generated during disruptions in tokamaks, and fluid models are used to study their effects on macroscale dynamics. Linear computations of a massless, runaway electron beam coupled to MHD plasma show…

Plasma Physics · Physics 2023-08-24 A. P. Sainterme , C. R. Sovinec

A strongly damped wave equation including the displacement depending nonlinear damping term and nonlinear interaction function is considered. The main aim of the note is to show that under the standard dissipativity restrictions on the…

Analysis of PDEs · Mathematics 2015-06-19 Varga Kalantarov , Sergey Zelik

To understand the nature of anomalous resistivity in magnetic reconnection, we investigate turbulence-induced momentum transport and energy dissipation while a plasma is unstable to the Buneman instability in force-free current sheets.…

Plasma Physics · Physics 2015-06-19 H. Che

The rapid deposition of energy by Edge Localised Modes (ELMs) onto plasma facing components, is a potentially serious issue for large Tokamaks such as ITER and DEMO. The trigger for ELMs is believed to be the ideal Magnetohydrodynamic…

Plasma Physics · Physics 2009-02-23 A. J. Webster , C. G. Gimblett

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as $t \to\infty$, we show that the velocity characteristics and spatial averages of the particle…

Analysis of PDEs · Mathematics 2022-01-25 Stephen Pankavich

A dielectric function including collisional correlations is derived by linearizing the self consistent Vlasov equation with a Fokker-Planck collision integral. The calculation yields the same type of dielectric function as in the…

Accelerator Physics · Physics 2014-11-18 A. Selchow , K. Morawetz

Drift ordered fluid models are widely applied in studies of low-frequency turbulence in the edge and scrape-off layer regions of magnetically confined plasmas. Here, we show how collisional transport across the magnetic field is…

Plasma Physics · Physics 2016-04-15 Jens Madsen , Volker Naulin , Anders Henry Nielsen , Jens Juul Rasmussen

The Grad-Shafranov (GS) equation is a nonlinear elliptic partial differential equation that governs the ideal magnetohydrodynamic equilibrium of a tokamak plasma. Previous studies have demonstrated the existence of multiple solutions to the…

Plasma Physics · Physics 2025-07-29 K. Pentland , N. C. Amorisco , P. E. Farrell , C. J. Ham

The diffusive motion of charged particles in synthetic magnetic turbulence with different properties is investigated by using numerical simulations with unprecedented dynamical range, which allow us to ensure that both the inertial range…

High Energy Astrophysical Phenomena · Physics 2020-11-24 Andrej Dundovic , Oreste Pezzi , Pasquale Blasi , Carmelo Evoli , William H. Matthaeus

Simulating fully kinetic, two-species plasmas is computationally challenging due to the stiff multiscale dynamics of electrons and ions. While enforcing a quasi-neutral time evolution mitigates this stiffness, it requires an electric…

Plasma Physics · Physics 2026-04-24 M. Pelkner , K. Hallatschek , M. Raeth

We consider the mass heterogeneity in a gas of polydisperse hard particles as a key to optimizing a dynamical property: the kinetic relaxation rate. Using the framework of the Boltzmann equation, we study the long time approach of a…

Soft Condensed Matter · Physics 2015-06-17 Matthieu Barbier , Emmanuel Trizac

Reversibility is of paramount importance in the correct representation of surface peeling in various physical settings, ranging from motility in nature, to gripping devices in robotic applications, and even to sliding of tectonic plates.…

Soft Condensed Matter · Physics 2021-07-06 Evelyne Ringoot , Thibault Roch , Jean-François Molinari , Thierry J. Massart , Tal Cohen

We have studied the linear dispersion relation for Langmuir waves in plasmas of very high density, based on the Dirac-Heisenberg-Wigner formalism. The vacuum contribution to the physical observables leads to ultra-violet divergences, that…

Plasma Physics · Physics 2022-04-20 H. Al-Naseri , G. Brodin

Tokamak disruptions are associated with breaking magnetic surfaces, which makes magnetic field lines chaotic in large regions of the plasma. The enforcement of quasi-neutrality in a region of chaotic field lines requires an electric…

Plasma Physics · Physics 2024-09-04 Allen H Boozer

We identify and study new nonlinear axisymmetric equilibria with incompressible flow of arbitrary direction satisfying a generalized Grad Shafranov equation by extending the symmetry analysis presented in [G. Cicogna and F. Pegoraro, Phys.…

Plasma Physics · Physics 2015-08-11 Ap Kuiroukidis , G. N. Throumoulopoulos

Effects induced by the finite number $N$ of particles on the evolution of a monochromatic electrostatic perturbation in a collisionless plasma are investigated. For growth as well as damping of a single wave, discrete particle numerical…

Plasma Physics · Physics 2009-11-07 F. Doveil , M-C. Firpo , Y. Elskens , D. Guyomarc'h , M. Poleni , P. Bertrand

A collisionless plasma possesses a certain amount of "available energy", which is that part of the thermal energy that can be converted into field energy. Here, a calculation is presented of the available energy carried by trapped electrons…

Plasma Physics · Physics 2022-05-02 R. J. J. Mackenbach , J. H. E. Proll , P. Helander

Spectral singularities and the coherent perfect absorption are two interrelated concepts that have originally been introduced and studied for linear waves interacting with complex potentials. In the meantime, the distinctive asymptotic…

Pattern Formation and Solitons · Physics 2020-10-22 Dmitry A. Zezyulin , Vladimir V. Konotop

Here diffusion and Ware pinch are analyzed as opposed effects for plasma confinement, when instabilities are not considered. In this work it is studied the equilibrium inductive electric field where both effects annul each other in the…

Plasma Physics · Physics 2007-05-23 Pablo Martin , Julio Puerta , Enrique Castro

Configurations with nearby multiple resonant surfaces have broad spectra of linearly unstable coupled tearing modes with dominant high poloidal mode numbers m. This was recently shown for the case of multiple q = 1 resonances [Bierwage et…

Plasma Physics · Physics 2007-05-23 Andreas Bierwage , Sadruddin Benkadda , Satoshi Hamaguchi , Masahiro Wakatani
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