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The spatio-temporal evolution of the energetic particles in the transport time scale in tokamak plasmas is a key issue of the plasmas confinement, especially in burning plasmas. In order to include sources and sinks and collisional slowing…

Plasma Physics · Physics 2024-05-20 Guo Meng , Philipp Lauber , Zhixin Lu , Andreas Bergmann , Mirelle Schneider

This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We employ a standard particle method for the numerical approximation of the distribution…

Numerical Analysis · Mathematics 2020-03-06 Torsten Keßler , Sergej Rjasanow , Steffen Weißer

Detailed deterministic derivation of the kinetic equations for the relativistic plasmas is given. Focus is made on the dynamic of one-coordinate distribution functions of various tensor dimensions, but the closed set of kinetic equations is…

Plasma Physics · Physics 2022-12-29 Pavel A. Andreev

The Hasegawa-Wakatani equations, coupling plasma density and electrostatic potential through an approximation to the physics of parallel electron motions, are a simple model that describes resistive drift wave turbulence. We present…

Plasma Physics · Physics 2008-11-17 Ryusuke Numata , Rowena Ball , Robert L. Dewar

A new form of the model collision operator for a Boltzmann gas of hard spheres and Coulomb plasma is derived. One-component and many-component systems are considered. The collision operator proposed takes properly into account the…

Statistical Mechanics · Physics 2014-09-23 Viacheslav V. Belyi

The narrow power decay-length ($\lambda_q$), recently found in the scrape-off layer (SOL) of inner-wall limited (IWL) discharges in tokamaks, is studied using 3D, flux-driven, global two-fluid turbulence simulations. The formation of the…

Plasma Physics · Physics 2017-01-04 Federico D. Halpern , Paolo Ricci

A novel third order nonlinear evolution equation governing the dynamics of high frequency electrostatic drift waves has been derived in the framework of a plasma fluid model in an inhomogeneous magnetized plasma. The linear dispersion…

Plasma Physics · Physics 2023-06-09 Siba Prasad Acharya , M. S. Janaki

A new upscaling procedure that provides 1D representations of 2D mixing-limited reactive transport systems is developed and applied. A key complication with upscaled models in this setting is that the procedure must differentiate between…

Fluid Dynamics · Physics 2022-10-05 Ricardo H. Deucher , Louis J. Durlofsky

A full-F, isothermal, electromagnetic, gyro-fluid model is used to simulate plasma turbulence in a COMPASS-sized, diverted tokamak. A parameter scan covering three orders of magnitude of plasma resistivity and two values for the ion to…

Plasma Physics · Physics 2023-09-20 M. Wiesenberger , M. Held

The turbulence observed in the scrape-off-layer of a tokamak is often characterized by intermittent events of bursty nature, a feature which raises concerns about the prediction of heat loads on the physical boundaries of the device. It…

Plasma Physics · Physics 2014-12-18 J. Anderson , F. Halpern , P. Xanthopoulos , P. Ricci , I. Furno

We study a homogeneously driven granular gas of inelastic hard particles with rough surfaces subject to Coulomb friction. The stationary state as well as the full dynamic evolution of the translational and rotational granular temperatures…

Soft Condensed Matter · Physics 2015-06-24 Olaf Herbst , Raffaele Cafiero , Annette Zippelius , Hans Jürgen Herrmann , Stefan Luding

We study a reaction-diffusion-convection problem with nonlinear drift posed in a domain with periodically arranged obstacles. The non-linearity in the drift is linked to the hydrodynamic limit of a totally asymmetric simple exclusion…

Analysis of PDEs · Mathematics 2022-04-05 Vishnu Raveendran , Emilio N. M. Cirillo , Adrian Muntean

This paper is concerned with the kinetic treatment of quasi-stationary axisymmetric collisionless accretion disc plasmas. The conditions of validity of the kinetic description for non-relativistic magnetized and gravitationally-bound…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Claudio Cremaschini , Massimo Tessarotto

The dynamics of burning plasmas in tokamaks are crucial for advancing controlled thermonuclear fusion. This study applies the NeuralPlasmaODE, a multi-region multi-timescale transport model, to simulate the complex energy transfer processes…

Plasma Physics · Physics 2024-12-13 Zefang Liu , Weston M. Stacey

In tokamak experiments, sufficiently strong $E\times B$ flow shear reduces turbulent transport, thereby improving the prospects for fusion power plants. It is therefore of great importance to efficiently explore parameter space to find…

Plasma Physics · Physics 2024-01-30 Haomin Sun , Justin Ball , Stephan Brunner , Arnas Volčokas

The physical foundations of the dissipation of energy and the associated heating in weakly collisional plasmas are poorly understood. Here, we compare and contrast several measures that have been used to characterize energy dissipation and…

Laboratory plasmas in open magnetic geometries can be found in many different applications such as (1) Scrape-Of-Layer (SOL) and divertor regions in toroidal confinement fusion devices (\approx1-10^2\hspace{1mm}\mathrm{eV}), (2) linear…

Plasma Physics · Physics 2022-02-09 Atul Kumar , J. F. Caneses Marin

When a plasma disrupts in a tokamak, significant heat and electromagnetic loads are deposited onto the surrounding device components. These forces scale with plasma current and magnetic field strength, making disruptions one of the key…

Spectral approximation based on Hermite-Fourier expansion of the Vlasov-Poisson model for a collisionless plasma in the electro-static limit is provided, by including high-order artificial collision operators of Lenard-Bernstein type. These…

Numerical Analysis · Mathematics 2021-03-02 Daniele Funaro , Gianmarco Manzini

We develop a new fast-diffusion approximation for the kinetics of deposition of extended objects on a linear substrate, accompanied by diffusional relaxation. This new approximation plays the role of the mean-field theory for such processes…

Condensed Matter · Physics 2010-10-12 Vladimir Privman , Mustansir Barma