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The first detailed comparison between gyrokinetic and gyrofluid simulations of collisionless magnetic reconnection has been carried out. Both the linear and nonlinear evolution of the collisionless tearing mode have been analyzed. In the…

Plasma Physics · Physics 2015-02-20 O. Zacharias , L. Comisso , D. Grasso , R. Kleiber , M. Borchardt , R. Hatzky

A geometrical method is used for the analysis of stochastic processes in plasma turbulence. Distances between thermodynamic states can be computed according the thermodynamic length methodology which allows the use of a Riemannian metric on…

Plasma Physics · Physics 2023-06-28 A. D. Papadopoulos , J. Anderson , E-J. Kim , M. Mavridis , H. Isliker

We apply the collision-based hybrid introduced in \cite{hauck} to the Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of the source term is used to handle stiffness associated with the BGK operator.…

Numerical Analysis · Mathematics 2023-06-21 Minwoo Shin , Cory D. Hauck , Ryan G. McClarren

Axisymmetric ($m=0$) gyrokinetic and extended-MHD simulations of sheared-flow Z-pinch plasma are performed with the high-order finite volume code COGENT. The present gyrokinetic model solves the long-wavelength limit of the gyrokinetic…

Plasma Physics · Physics 2020-11-06 V. I. Geyko , J. R. Angus , M. A. Dorf

The gyrokinetic particle simulation serves as a powerful tool for the studies of transport, nonlinear phenomenon, and energetic particle physics in tokamak plasmas. While most gyrokinetic simulations make use of the scalar and vector…

Plasma Physics · Physics 2022-02-16 Maxwell Rosen , Zhixin Lu , Matthias Hoelzl

We propose a methodology to infer collision operators from phase space data of plasma dynamics. Our approach combines a differentiable kinetic simulator, whose core component in this work is a differentiable Fokker-Planck solver, with a…

Plasma Physics · Physics 2026-01-19 Diogo D. Carvalho , Pablo J. Bilbao , Warren B. Mori , Luis O. Silva , E. Paulo Alves

The features of the TRIMEG-GKX code are described with emphasis on the exploration using novel/different schemes compared to other gyrokinetic codes, particularly the use of object-oriented programming, filter/buffer-free treatment, and a…

Plasma Physics · Physics 2025-05-01 Zhixin Lu , Guo Meng , Roman Hatzky , Philipp Lauber , Matthias Hoelzl

Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this paper investigates the possibility of finding a differential formulation of the…

Plasma Physics · Physics 2017-07-20 Eero Hirvijoki , Alain J. Brizard , David Pfefferlé

In this paper, we present splitting methods that are based on iterative schemes and applied to plasma simulations. The motivation arose of solving the Coulomb collisions, which are modeled by nonlinear stochastic differential equations. We…

Numerical Analysis · Mathematics 2017-06-22 Juergen Geiser

The Coulomb logarithm often enters various plasma models and simulation methods for computing the transport and relaxation properties of plasmas. Traditionally, a classical pair collision picture was used to calculate the Coulomb logarithm…

Plasma Physics · Physics 2024-08-20 S. K. Kodanova , T. S. Ramazanov , M. K. Issanova

We are developing a new continuum gyrokinetic code, Gkeyll, for use in edge plasma simulations, and here present initial simulations of turbulence on open field lines with model sheath boundary conditions. The code implements an energy…

Plasma Physics · Physics 2016-10-31 A. Hakim , E. L. Shi , I. G. Abel , G. W. Hammett , T. Stoltzfus-Dueck

An electrostatic gyrokinetic-based model is applied to simulate parallel plasma transport in the scrape-off layer to a divertor plate. The authors focus on a test problem that has been studied previously, using parameters chosen to model a…

Plasma Physics · Physics 2015-08-18 E. L. Shi , A. H. Hakim , G. W. Hammett

Astrophysical plasmas in relativistic spacetimes, such as black hole accretion flows, are often weakly collisional and require kinetic modeling to capture non-local transport and particle acceleration. However, the extreme scale separation…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Tyler Trent , Dimitrios Psaltis , Feryal Özel

To help reveal the complete picture of linear kinetic drift modes, four independent numerical approaches, based on integral equation, Euler initial value simulation, Euler matrix eigenvalue solution and Lagrangian particle simulation,…

Plasma Physics · Physics 2017-07-04 H. S. Xie , Y. Y. Li , Z. X. Lu , W. K. Ou , B. Li

The generator coordinate method (GCM) was introduced in nuclear physics by Wheeler and independently by Peierls and their collaborators in 1950's and it is still one of the mostly used approximations for treating nuclear large amplitude…

Nuclear Theory · Physics 2025-11-21 Aurel Bulgac

We present a novel discontinuous Galerkin algorithm for the solution of a class of Fokker-Planck collision operators. These operators arise in many fields of physics, and our particular application is for kinetic plasma simulations. In…

Computational Physics · Physics 2020-08-26 Ammar Hakim , M. Francisquez , J. Juno , Greg W. Hammett

This paper describes a new code for simulating astrophysical plasmas that solves a hybrid model composed of gyrokinetic ions (GKI) and an isothermal electron fluid (ITEF) [A. Schekochihin et al., Astrophys. J. Suppl. \textbf{182}, 310…

Plasma Physics · Physics 2018-02-05 Y. Kawazura , M. Barnes

A novel sequential inferential method for Bayesian dynamic generalised linear models is presented, addressing both univariate and multivariate $k$-parametric exponential families. It efficiently handles diverse responses, including…

Methodology · Statistics 2025-01-15 Mariane Branco Alves , Helio S. Migon , Silvaneo V. Santos , Raíra Marotta

A new formulation for collisional kinetic theory is presented based on the use of Lie-transform methods to eliminate fast orbital time scales from a general bilinear collision operator. As an application of this new formalism, a general…

Plasma Physics · Physics 2009-11-10 Alain J. Brizard

The velocity-space moments of the often troublesome nonlinear Landau collision operator are expressed exactly in terms of multi-index Hermite-polynomial moments of the distribution functions. The collisional moments are shown to be…

Plasma Physics · Physics 2017-05-24 David Pfefferlé , Eero Hirvijoki , Manasvi Lingam