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Equilibrium equations for magnetically confined, axisymmetric plasmas are derived by means of the energy-Casimir variational principle in the context of Hall magnetohydrodynamics (MHD). This approach stems from the noncanonical Hamiltonian…

Plasma Physics · Physics 2023-08-01 A. Giannis , D. A. Kaltsas , G. N. Throumoulopoulos

Two-dimensional Maxwell-Vlasov equilibria with finite electric fields, axial ("toroidal") plasma flow and isotropic pressure are constructed in plane geometry by using the quasineutrality condition to express the electrostatic potential in…

Plasma Physics · Physics 2009-10-16 G. N. Throumoulopoulos , H. Tasso

Nonlinear z-independent solutions to a generalized Grad-Shafranov equation (GSE) with up to quartic flux terms in the free functions and incompressible plasma flow non parallel to the magnetic field are constructed quasi-analytically.…

Plasma Physics · Physics 2015-06-11 Ap Kuiroukidis , G. N. Throumoulopoulos

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

Manapy is a parallel, unstructured, finite-volume based solver for the solution of partial differential equations (PDE). The framework is written using Python, it is object-oriented, and is organized in such a way that it is easy to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-10 Imad Kissami , Ahmed Ratnani

Future nuclear fusion reactors will have to confine plasma with strong kinetic gradients and small fractions of fusion-born energetic particles (EP) that are ~100 times hotter than the thermal ions. In our analysis, we assume the existence…

In several industrial applications, such as crystallization, pollution control, and flow assurance, an accurate understanding of the aqueous electrolyte solutions is crucial. Electrolyte equilibrium calculation contributes with the design…

Astrochemical modeling is needed for understanding the formation and evolution of interstellar molecules, and for extracting physical information from spectroscopic observations of interstellar clouds. The modeling usually involves handling…

Solar and Stellar Astrophysics · Physics 2021-05-05 Fujun Du

The shear viscosity of the quark-gluon plasma (QGP) plays a crucial role in interpreting current measurements from heavy-ion collisions and is a key input to hydro-dynamical models. The interest in shear viscosity also lies in the fact that…

High Energy Physics - Lattice · Physics 2025-10-31 Pavan , Olaf Kaczmarek , Guy D. Moore , Christian Schmidt

Extending the ideal MHD stability code MISHKA, a new code, MISHKA-A, is developed to study the impact of pressure anisotropy on plasma stability. Based on full anisotropic equilibrium and geometry, the code can provide normal mode analysis…

Plasma Physics · Physics 2015-06-24 Zhisong Qu , Matthew Hole , Michael Fitzgerald

In the offered paper the kinetic theory of equilibrium and stability of the nonelectroneutral current sheaths formed at arbitrary values of medium parameters was developed. Equilibrium distribution function of a current sheath (Harris's…

Plasma Physics · Physics 2011-02-02 V. V. Lyahov , V. M. Neshchadim

The Controlled Molecule Imaging group (CMI) at the Center for Free Electron Laser Science (CFEL) has developed the CMIstark software to calculate, view, and analyze the energy levels of adiabatic Stark energy curves of linear, symmetric top…

Atomic and Molecular Clusters · Physics 2014-01-08 Yuan-Pin Chang , Frank Filsinger , Boris G. Sartakov , Jochen Küpper

Various MHD (magnetohydrodynamic) equilibrium tools, some of which being recently developed or considerably updated, are used on the COMPASS tokamak at IPP Prague. MHD equilibrium is a fundamental property of the tokamak plasma, whose…

Plasma Physics · Physics 2014-12-08 J. Urban , L. C. Appel , J. F. Artaud , B. Faugeras , J. Havlicek , M. Komm , I. Lupelli , M. Peterka

Harmonic Balance is one of the most popular methods for computing periodic solutions of nonlinear dynamical systems. In this work, we address two of its major shortcomings: First, we investigate to what extent the computational burden of…

Dynamical Systems · Mathematics 2023-03-30 Lukas Woiwode , Malte Krack

The 2D/1D multiscale finite element method (MSFEM) is an efficient way to simulate rotating machines in which each iron sheet is exposed to the same field. It allows the reduction of the three dimensional sheet to a two dimensional…

Numerical Analysis · Mathematics 2023-02-06 Markus Schöbinger , Karl Hollaus

Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal MHD equilibrium and stability of…

Plasma Physics · Physics 2024-02-06 W. Sengupta , N. Nikulsin , R. Gaur , A. Bhattacharjee

We present a Python code for calculating and displaying magnetic field extrapolations from given two-dimensional boundary conditions, specifically from solar surface magnetograms. The code implements analytical magnetohydrostatic models…

Solar and Stellar Astrophysics · Physics 2025-11-13 Lilli Nadol , Thomas Neukirch

We present a Bayesian method for inferring axisymmetric plasma equilibria from the magnetic field and plasma pressure measurements. The method calculates all possible solutions for plasma current and pressure distributions consistent with…

Plasma Physics · Physics 2025-03-03 Sehyun Kwak , J. Svensson , O. Ford , L. Appel , Y. -c. Ghim , JET Contributors

Vlasov equilibria of axisymmetric plasmas with vacuum toroidal magnetic field can be reduced, up to a selection of ions and electrons distributions functions, to a Grad-Shafranov-like equation. Quasineutrality narrow the choice of the…

Plasma Physics · Physics 2015-06-18 H. Tasso , G. N. Throumoulopoulos

NashOpt is an open-source Python library for computing and designing generalized Nash equilibria (GNEs) in noncooperative games with shared constraints and real-valued decision variables. The library exploits the joint Karush-Kuhn-Tucker…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Alberto Bemporad