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By choosing appropriate deformed Maxwellian ion and electron distribution functions depending on the two particle constants of motion, i.e. the energy and toroidal angular momentum, we reduce the Vlasov axisymmetric equilibrium problem for…

Plasma Physics · Physics 2015-08-12 Ap Kuiroukidis , G. N. Throumoulopoulos , H. Tasso

For the simulation of disruptions in tokamak fusion plasmas, a fluid model describing the evolution of relativistic runaway electrons and their interaction with the background plasma is presented. The overall aim of the model is to…

Plasma Physics · Physics 2019-07-01 V. Bandaru , M. Hoelzl , F. J. Artola , G. Papp , G. T. A. Huijsmans

A new fluid model for runaway electron simulation based on fluid description is introduced and implemented in the magnetohydrodynamics code M3D-C1, which includes self-consistent interactions between plasma and runaway electrons. The model…

It is discovered that the tokamak field geometry generates a pitch-angle scattering effect for runaway electrons. This neoclassical pitch-angle scattering is much stronger than the collisional scattering and invalidates the gyro-center…

Plasma Physics · Physics 2016-06-22 Jian Liu , Yulei Wang , Hong Qin

Surface sensitive electric current measurements are important experimental tools poorly corroborated by theoretical models. We show that the drift-diffusion equations offer a framework for a consistent description of such experiments. The…

Mesoscale and Nanoscale Physics · Physics 2017-06-15 Jakub Lis

Nonlinear dynamics of runaway electron induced wave instabilities can significantly modify the runaway distribution critical to tokamak operations. Here we present the first-ever fully kinetic simulations of runaway-driven instabilities…

Plasma Physics · Physics 2026-03-10 Qile Zhang , Yanzeng Zhang , Qi Tang , Xian-Zhu Tang

We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Maxwellian distribution functions for the kinetic ions. The…

Plasma Physics · Physics 2024-06-06 D. A. Kaltsas , A. Kuiroukidis , P. J. Morrison , G. N. Throumoulopoulos

Upon application of a sufficiently strong electric field, electrons break away from thermal equilibrium and approach relativistic speeds. These highly energetic runaway electrons (MeV) play a significant role in tokamak disruption physics,…

Computational Physics · Physics 2020-05-18 Don Daniel , William T. Taitano , Luis Chacón

Recently, the validity of the guiding-center approach to model relativistic runaway electrons in tokamaks has been challenged by full-orbit simulations that demonstrate the breakdown of the standard magnetic moment conservation. In this…

Plasma Physics · Physics 2018-04-06 Chang Liu , Hong Qin , Eero Hirvijoki , Yulei Wang , Jian Liu

The role of a runaway current in a post disruption plasma is investigated through numerical simulations in an asymmetric magnetic reconnection event. While the runaways do not alter the linear growth of the island, they lead to a rotation…

Plasma Physics · Physics 2023-09-07 L. Singh , D. Borgogno , F. Subba , D. Grasso

Runaways are suprathermal electrons having sufficiently high energy to be continuously accelerated up to tens of MeV by a driving electric field [1]. Highly energetic runaway electron (RE) beams capable of damaging the tokamak first wall…

Plasma Physics · Physics 2018-08-14 Cristian Sommariva , Eric Nardon , Peter Beyer , Matthias Hoelzl , Guido Huijsman

We obtain analytic solutions of a generalised Grad-Shafranov equation describing steady states with incompressible plasma flow of arbitrary direction, toroidal current reversal and either nested or non-nested magnetic surfaces. It turns out…

Plasma Physics · Physics 2017-04-18 A. Kuiroukidis , G. N. Throumoulopoulos

In [V.A. Izzo et al 2022 Nucl. Fusion 62 096029], state-of-the-art modeling of thermal and current quench (CQ) MHD coupled with a self-consistent evolution of runaway electron (RE) generation and transport showed that a non-axisymmetric (n…

Relativistic runaway electrons are a major concern in tokamaks. The European framework for Integrated Modelling (EU-IM), facilitates the integration of different plasma simulation tools by providing a standard data structure for…

Runaway electron modelling efforts are motivated by the risk these energetic particles pose to large fusion devices. The sophisticated kinetic models can capture most features of the runaway electron generation but have high computational…

Plasma Physics · Physics 2021-05-28 S. Olasz , O. Embreus , M. Hoppe , M. Aradi , D. Por , T. Jonsson , D. Yadikin , G. I. Pokol , EU-IM Team

A disrupting plasma in a high-performance tokamak such as ITER or SPARC may generate large runaway electron currents that, upon impact with the tokamak wall, can cause serious damage to the device. To quickly identify regions of safe…

Plasma Physics · Physics 2026-03-24 Björn Zaar , István Pusztai , Ida Ekmark , Tünde Fülöp

Tokamak start-up is characterized by low electron densities and strong electric fields, in order to quickly raise the plasma current and temperature, allowing the plasma to fully ionize and magnetic flux surfaces to form. Such conditions…

Plasma Physics · Physics 2022-06-30 M. Hoppe , I. Ekmark , E. Berger , T. Fülöp

It is shown that avalanches of runaway electrons can arise in stellarators, even if there is no net toroidal current in the plasma or the magnetic-field coils, if the current in the latter varies rapidly enough, e.g. due to a superconductor…

Plasma Physics · Physics 2026-04-08 Pavel Aleynikov , Per Helander , Håkan M Smith

The conditions for the existence of negative-energy perturbations (which could be nonlinearly unstable and cause anomalous transport) are investigated in the framework of linearized collisionless Maxwell-drift kinetic theory for the case of…

plasm-ph · Physics 2009-10-30 G. N. Throumoulopoulos , D. Pfirsch

Parallel permittivity elements are derived for radio frequency waves in an axisymmetric D-shaped tokamak with Soloviev type equilibrium under arbitrary aspect ratio, arbitrary elongation and moderate triangularity. The drift-kinetic…