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The particle and momentum balance equations can be solved on concentric circular flux surfaces to determine the effective viscous drag present in a magnetized tokamak plasma in the low aspect ratio limit. An analysis is developed utilizing…

Plasma Physics · Physics 2007-10-16 Robert W. Johnson

An alternative to the Braginskii decomposition is proposed, one rooted in treating the viscosity as a scalar quantity in a coordinate-free representation. With appropriate application to the rate-of-shear tensor, one may solve the…

Plasma Physics · Physics 2007-10-16 Robert W. Johnson

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

Gyrokinetic tokamak plasmas can exhibit intrinsic toroidal rotation driven by the residual stress. While most studies have attributed the residual stress to the parallel-momentum flux from the turbulent $\boldsymbol{E}\times\boldsymbol{B}$…

Plasma Physics · Physics 2024-07-15 Hongxuan Zhu , T. Stoltzfus-Dueck , R. Hager , S. Ku , C. S. Chang

A toroidal, quasi-linear model is proposed to study the penetration dynamics of the resonant magnetic perturbation (RMP) field into the plasma. The model couples the linear, fluid plasma response to a toroidal momentum balance equation,…

Plasma Physics · Physics 2013-05-17 Yueqiang Liu , A. Kirk , Y. Sun

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

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

Rotation of tokamak-plasmas, not at the mechanical equilibrium, is investigated utilizing a theorem of thermodynamics, established by Prigogine. This theorem, suitably applied to toroidally confined plasmas, suggests that the global…

Plasma Physics · Physics 2012-11-14 Giorgio Sonnino , Alessandro Cardinali , Alberto Sonnino , Fulvio Zonca

In this letter a pinch velocity of toroidal momentum is shown to exist for the first time. Using the gyro-kinetic equations in the frame moving with the equilibrium toroidal velocity, it is shown that the physics effect can be elegantly…

Plasma Physics · Physics 2007-05-23 A. G. Peeters , C. Angioni , D. Strintzi

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

Plasma toroidal metric singularities in helical devices and tokamaks, giving rise to magnetic surfaces inside the plasma devices are investigated in two cases. In the first we consider the case of a rotational plasma on an helical device…

Plasma Physics · Physics 2007-05-23 Garcia de Andrade

We present a linear stability analysis of a two-dimensional fluid model used to study the plasma dynamics in the scrape-off layer of tokamaks. The model equations are based on the Braginskii fluid equations under the assumptions of drift…

Plasma Physics · Physics 2019-03-27 Fryderyk Wilczynski , David W. Hughes , Sven Van Loo , Wayne Arter , Fulvio Militello

Toroidal torque generated by neoclassical viscosity caused by external non-resonant, non-axisymmetric perturbations has a significant influence on toroidal plasma rotation in tokamaks. In this article, a derivation for the expressions of…

Starting from the given passive particle equilibrium particle cylindrical profiles, we built self-consistent stationary conditions of the Maxwell-Vlasov equation at thermodynamic equilibrium with non-flat density profiles. The solutions to…

We consider a plasma described by means of a two-dimensional fluid model across a constant but non-uniform magnetic field $\mathbf{B} = B(x,y) \mathbf{\hat{z}}$. The dynamical evolution of the density and the vorticity takes into account…

Plasma Physics · Physics 2011-07-07 Olivier Izacard , Cristel Chandre , Emanuele Tassi , Guido Ciraolo

The properties of plasma turbulence in a poloidally limited scrape-off layer (SOL) are addressed, with focus on ISTTOK, a large aspect ratio tokamak with a circular cross section. Theoretical investigations based on the drift-reduced…

Plasma Physics · Physics 2019-04-18 Rogerio Jorge , Paolo Ricci , Federico D. Halpern , Nuno F. Loureiro , Carlos Silva

Since the DIII-D resonant magnetic perturbation experiment [Nucl. Fusion $\bm{59}$, 126010 (2019)] suggests that the neoclassical toroidal viscosity due to the collisional effects associated with the non-resonant magnetic perturbations is…

Plasma Physics · Physics 2024-06-04 Jinxiang You , Shaojie Wang

The transition from toroidal counter- to co- rotation in the core plasma has been observed at L to H transition in several tokamaks. Spontaneous reversal has also been observed in TCV beyond a threshold in the density. We develop a model…

Plasma Physics · Physics 2015-06-04 Florin Spineanu , Madalina Vlad

The reconstruction of the equilibrium of a plasma in a Tokamak is a free boundary problem described by the Grad-Shafranov equation in axisymmetric configuration. The right-hand side of this equation is a nonlinear source, which represents…

Numerical Analysis · Mathematics 2011-03-18 Jacques Blum , Cedric Boulbe , Blaise Faugeras

Kinetic physics, including finite Larmor radius (FLR) effects, are known to affect the physics of magnetized plasma phenomena such as the Kelvin-Helmholtz and Rayleigh-Taylor instabilities. Accurately incorporating FLR effects into fluid…

Computational Physics · Physics 2024-08-14 Jack Coughlin , Jingwei Hu , Uri Shumlak
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