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This work is devoted to the study of the influence of temperature anisotropy and parallel heat flux on the stability of supersonic shear flow in collisionless plasmas. Within a fluid-based framework, we employ the 16-moment transport…

Solar and Stellar Astrophysics · Physics 2026-05-14 Namig S. Dzhalilov

This study examines the stability of Vlasov equilibrium solutions for magnetically confined plasmas, derived through the principle of maximum entropy. By treating the toroidal limit as a perturbation from an analytical cylindrical solution,…

Plasma Physics · Physics 2025-12-23 Aurélien Cordonnier , Yohann Lebouazda , Xavier Leoncini , Guilhem Dif-Pradalier

The plasma edge of a tokamak configuration is characterized by turbulent dynamics leading to enhanced transport. We construct a simplified 3D Hasegawa--Wakatani model reducing to a single partial differential equation for the turbulent…

Plasma Physics · Physics 2023-09-13 Nakia Carlevaro , Giovanni Montani , Fabio Moretti

This note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies a critical…

Analysis of PDEs · Mathematics 2015-05-21 Heinrich Freistuhler , Felix Kleber , Johannes Schropp

Using the magnetohydrodynamic (MHD) description, we develop a nonlinear dynamo model that couples the evolution of the large scale magnetic field with turbulent dynamics of the plasma at small scale by electromotive force (e.m.f.) in the…

Earth and Planetary Astrophysics · Physics 2011-09-29 Giuseppina Nigro , Pierlugi Veltri

With strong gradients in the pedestal of high confinement mode (H-mode) fusion plasmas, gyrokinetic simulations are carried out for the trapped electron and ion temperature gradient modes. A broad class of unconventional mode structures is…

Plasma Physics · Physics 2015-09-16 H. S. Xie , Y. Xiao

A self-consistent nonlinear hydrodynamic theory is presented of the propagation of a long and thin relativistic electron beam through a plasma that is relatively strongly magnetized, $|\Omega_e|\sim\omega_{pe}$ and whose density is much…

Plasma Physics · Physics 2018-07-04 Dusan Jovanovic , Renato Fedele , Milivoj Belic , Sergio De Nicola

We develop a theory of buoyancy instabilities of the electron-ion plasma with the heat flux based on not the MHD equations, but using the multicomponent plasma approach. We investigate a geometry in which the background magnetic field,…

Astrophysics of Galaxies · Physics 2010-03-02 Anatoly K. Nekrasov , Mohsen Shadmehri

Traditionally the effects of MHD instabilities and micro-instabilities on plasma confinement are investigated separately. However, these two instabilities often occur simultaneously, with the overlap of the dynamics on a broad range of…

Plasma Physics · Physics 2009-07-06 Johan Anderson , Eun-jin Kim

This work employs Hall magnetohydrodynamic (MHD) simulations to study the X-lines formed during the reconnection of magnetic fields with differing strengths and orientations embedded in plasmas of differing densities. Although random…

Plasma Physics · Physics 2015-05-19 R. Schreier , M. Swisdak , J. F. Drake , P. A. Cassak

Tangled magnetic fields, often coexisting with an ordered mean field, have a major impact on turbulence and momentum transport in many plasmas, including those found in the solar tachocline and magnetic confinement devices. We present a…

Plasma Physics · Physics 2021-04-09 Chang-Chun Chen , Patrick H. Diamond , Rameswar Singh , Steven M. Tobias

The design of commercially feasible magnetic confinement fusion reactors strongly relies on the reduced turbulent transport in the plasma edge during operation in the high confinement mode (H-mode). We present first global turbulence…

Equations describing plasma equilibria are derived from the total energy of the system. The MHD equilibrium is shown to hold even for systems where the magnetic field may locally vanish. Through conservation of helicity, confinement is…

Plasma Physics · Physics 2019-06-20 John Hedditch

Starting from expressions in Connor et al. (1988) [1], we derive a one-dimensional tearing equation similar to the approximate equation obtained by Hegna and Callen (1984) [2] and by Nishimura et al (1998) [3], but for more realistic…

Plasma Physics · Physics 2018-06-21 J. W. Connor , R. J. Hastie , C. Marchetto , C. M. Roach

Recent in-situ and remote observations suggest that the transport regime associated with shock accelerated particles may be anomalous {i.e., the Mean Square Displacement (MSD) of such particles scales non-linearly with time}. We use…

Space Physics · Physics 2019-10-23 D. Trotta , D. Burgess , G. Prete , S. Perri , G. Zimbardo

A theoretical model is presented that for the first time matches experimental measurements of the pedestal width-height Diallo scaling in the low-aspect-ratio high-$\beta$ tokamak NSTX. Combining linear gyrokinetics with self-consistent…

Tokamak turbulence, driven by the ion-temperature gradient and occurring in the presence of flow shear, is investigated by means of local, ion-scale, electrostatic gyrokinetic simulations (with both kinetic ions and electrons) of the…

Plasma Physics · Physics 2017-01-10 F. van Wyk , E. G. Highcock , A. A. Schekochihin , C. M. Roach , A. R. Field , W. Dorland

We consider flow along a finite-length collapsible channel driven by a fixed upstream flux, where a section of one wall of a planar rigid channel is replaced by a plane-strain elastic beam subject to uniform external pressure. A modified…

Fluid Dynamics · Physics 2021-09-22 Danyang Wang , Xiaoyu Luo , Peter Stewart

We analyze 3D numerical simulations of driven incompressible magnetohydrodynamic (MHD) turbulence in a periodic box threaded by a moderately strong external magnetic field. We sum over nonlinear interactions within Fourier wavebands and…

Astrophysics · Physics 2011-05-10 Jungyeon Cho , Alex Lazarian , Ethan Vishniac

The aim of this work is to investigate and characterise non-thermal particle behaviour in a three-dimensional (3D) magnetohydrodynamical (MHD) model of unstable multi-threaded flaring coronal loops. We have used a numerical scheme which…

Solar and Stellar Astrophysics · Physics 2018-03-21 J. Threlfall , A. W. Hood , P. K. Browning