English
Related papers

Related papers: An adjoint-based method for optimizing MHD equilib…

200 papers

Spherical tokamaks (STs) have been shown to possess properties desirable for a fusion power plant such as achieving high plasma ? and having increased vertical stability. To understand the confinement properties that might be expected in…

Plasma Physics · Physics 2021-12-22 B. S. Patel , D. Dickinson , C. M. Roach , H. R. Wilson

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…

We investigate the linear tearing instability in weakly collisional plasmas using a non-ideal gyrotropic-MHD framework, uncovering a previously unknown scaling relation for the instability growth rate in high-$\beta$ environments. Even…

Plasma Physics · Physics 2025-10-09 Gabriel L. Ferreira-Santos , Grzegorz Kowal , Diego A. Falceta-Gonçalves

The global ideal kink equation, for cylindrical geometry and zero beta, is simplified in the high poloidal mode number limit and used to determine the tearing stability parameter, $\Delta^\prime$. In the presence of a steep monotonic…

Plasma Physics · Physics 2015-06-23 J. W. Connor , R. J. Hastie , I. Pusztai , P. J. Catto , M. Barnes

The STEP (Stability, Transport, Equilibrium, and Pedestal) integrated-modeling tool has been developed in OMFIT to predict stable, tokamak equilibria self-consistently with core-transport and pedestal calculations. STEP couples theory-based…

In three dimensional toroidal domains without symmetry, the standard magnetohydrodynamic (MHD) equilibrium model used for magnetic confinement fusion does not generally support smooth solutions. Instead, solutions have singular plasma…

Plasma Physics · Physics 2026-04-13 Maximilian Ruth , Joshua W. Burby , Wrick Sengupta , Andrew Brown

Advanced tokamak regimes, featuring extended regions of low magnetic shear, are promising candidates for future fusion reactors but are also more prone to specific kinds of MHD instabilities. The proximity to a rational surface in a very…

Plasma Physics · Physics 2025-09-04 M. Coste-Sarguet , J. P. Graves

We analyze an axisymmetric equilibrium of a plasma endowed with toroidal and poloidal velocity fields, with the aim to characterize the influence of the global motion on the morphology of the magnetic confinement. We construct our…

Plasma Physics · Physics 2021-08-02 Giovanni Montani , Matteo Del Prete

A systematic theory of the asymptotic expansion of the magnetohydrodynamic (MHD) equilibrium in the distance from the magnetic axis is developed to include arbitrary smooth currents near the magnetic axis. Compared to the vacuum and the…

Plasma Physics · Physics 2024-02-28 W. Sengupta , E. Rodriguez , R. Jorge , M. Landreman A. Bhattacharjee

This paper examines a new class of exact and self-consistent MHD solutions which describe steady and axisymmetric hydromagnetic outflows from the atmosphere of a magnetized and rotating central object with possibly an orbiting accretion…

Astrophysics · Physics 2009-10-31 N. Vlahakis , K. Tsinganos

In large hot tokamaks like JET, the width of the reconnecting layer for resistive modes is determined by semi-collisional electron dynamics and is much less than the ion Larmor radius. Firstly a dispersion relation valid in this regime is…

Plasma Physics · Physics 2012-01-31 J. W. Connor , R. J. Hastie , A. Zocco

Regimes of operation in tokamaks that are devoid of large ELMs have to be better understood to extrapolate their applicability to reactor-relevant devices. This paper describes non-linear extended MHD simulations that use an experimental…

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel…

Plasma Physics · Physics 2015-05-01 David Pfefferlé , Jonathan P. Graves , Wilfred A. Cooper

Small-scale turbulence originating from microinstabilities limits the energy confinement time in magnetic confinement fusion. Here we develop a semi-analytical dispersion relation based on lowest-order solutions to the gyrokinetic equations…

We describe a magnetohydrodynamic (MHD) constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor relaxation. Extremizing states allow for partially chaotic…

Plasma Physics · Physics 2012-04-03 S. R. Hudson , R. L. Dewar , M. J. Hole , M. McGann

In this paper we study the scaling relations for the triggering of the fast, or "ideal", tearing instability starting from equilibrium configurations relevant to astrophysical as well as laboratory plasmas that differ from the simple Harris…

Plasma Physics · Physics 2018-04-04 Fulvia Pucci , Marco Velli , Anna Tenerani , Daniele Del Sarto

Numerical computation of the ideal Magnetohydrodynamic (MHD) equilibrium magnetic field is at the base of stellarator optimisation and provides the starting point for solving more sophisticated Partial Differential Equations (PDEs) like…

Plasma Physics · Physics 2026-04-15 Timo Thun , Rory Conlin , Dario Panici , Daniel Böckenhoff

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

Transonic buffet, self--sustained shock and shear--layer oscillations, imposes hard limits on the cruise envelope of modern transport aircraft, and avoiding it is a primary design driver. State-of-the-art buffet-onset criteria used in…

Fluid Dynamics · Physics 2026-05-07 Rohit Sunil Kanchi , Sicheng He , Eirikur Jonsson , Joaquim R. R. A. Martins

This study applies the Hamiltonian method to analyze the nonlinear magnetic topology induced by Resonant Magnetic Perturbations (RMPs) in tokamaks. We investigate the system's chaotic behavior by comparing three methods: the renormalization…

Plasma Physics · Physics 2025-10-21 Zhifei Gui , Ping Zhu , Dominique Franck Escande