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We study a two-fluid description of high and low temperature components of the electron velocity distribution of an idealized tokamak plasma. We refine previous results on the laminar steady-state solution. On the one hand, we prove global…

Analysis of PDEs · Mathematics 2013-03-08 D. Zhelyazov , D. Han-Kwan , J. D. M. Rademacher

A new class of static magnetohydrodynamic (MHD) magnetic island bifurcations is identified in rotating spherical tokamak plasmas during single- and two-fluid resistive MHD simulations. As the magnitude of an externally applied…

Plasma Physics · Physics 2021-01-27 T. E. Evans , W. Wu , G. P. Canal , N. M. Ferraro

Detailed computations of tokamak edge turbulence in three dimensional, globally consistent flux tube geometry show an inhibition of the standard scenario in which zonal ExB flows generated by the turbulence should lead to transport barrier…

Plasma Physics · Physics 2015-06-26 Bruce D. Scott

The results of flux-driven, two-fluid simulations in single-null configurations are used to investigate the processes determining the turbulent transport in the tokamak edge. Three turbulent transport regimes are identified: (i) a developed…

Plasma Physics · Physics 2020-09-23 Maurizio Giacomin , Paolo Ricci

In this section, we examine the transition from statistically homogeneous turbulence to inhomogeneous turbulence with zonal flows. Statistical equations of motion can be derived from the quasilinear approximation to the Hasegawa-Mima…

Plasma Physics · Physics 2015-03-27 Jeffrey B. Parker , John A. Krommes

Balanced double-null configurations are of general interest for boundary plasma physics, and they have been proposed for some future designs. Experimental observations demonstrate absence of plasma fluctuations in tokamak high-field side…

Plasma Physics · Physics 2024-10-11 Maxim V. Umansky

Hasegawa-Wakatani system, commonly used as a toy model of dissipative drift waves in fusion devices is revisited with considerations of phase and amplitude dynamics of its triadic interactions. It is observed that a single resonant triad…

Chaotic Dynamics · Physics 2024-06-19 Ö. D. Gürcan , J. Anderson , S. Moradi , A. Biancalani , P. Morel

Plasma turbulence is the dominant transport mechanism for heat and particles in magnetized plasmas in linear devices and tokamaks, so the study of turbulence is important in limiting and controlling this transport. Linear devices provide an…

Plasma Physics · Physics 2017-11-17 Jarrod Leddy , Ben Dudson

A second order nonlinear equation with variable coefficients has been derived to govern the dynamics of high frequency electrostatic drift waves in an inhomogeneous magnetized plasma in a moving frame of (2 + 1) spatio-temporal dimensions.…

Plasma Physics · Physics 2025-07-15 Siba Prasad Acharya

Turbulence driven zonal flows play an important role in fusion devices since they improve plasma confinement by limiting the level of anomalous transport. Current theories mostly focus on flow excitation but do not self-consistently…

Plasma Physics · Physics 2011-06-13 Niels Guertler , Klaus Hallatschek

Non-linear dynamics of zonal flows is investigated in the context of the gyrofluid modified Hasegawa-Wakatani model. Merging of zonal flows and the chaotic developement of the initial zonal flow pattern is explored. Conservation equations…

A fluid system is derived to describe electrostatic magnetized plasma turbulence at scales somewhat larger than the Larmor radius of a given species. It is related to the Hasegawa- Mima equation, but does not conserve enstrophy, and, as a…

Plasma Physics · Physics 2020-09-09 G. G. Plunk

We demonstrate theoretically and numerically the zonal-flow/drift-wave feedback mechanism for the LH transition in an idealised model of plasma turbulence driven by a small scale instability. Zonal flows are generated by a secondary…

Chaotic Dynamics · Physics 2010-12-17 Colm Connaughton , Sergey Nazarenko , Brenda Quinn

Drift instabilities contribute to the formation of edge turbulence and zonal flows, and thus the anomalous transport in tokamaks. Experiments often found micro-scale tur- bulence strongly coupled with large-scale magnetohydrodynamic (MHD)…

Plasma Physics · Physics 2018-10-17 Shangchuan Yang , Ping Zhu , Jinlin Xie , Wandong Liu

Inhomogeneous drift-wave turbulence can be modeled as an effective plasma where drift waves act as quantumlike particles and the zonal-flow velocity serves as a collective field through which they interact. This effective plasma can be…

Plasma Physics · Physics 2018-05-30 Hongxuan Zhu , Yao Zhou , D. E. Ruiz , I. Y. Dodin

The transition to turbulence in Taylor-Couette flow often occurs via a sequence of supercritical bifurcations to progressively more complex, yet stable, flows. We describe a subcritical laminar-turbulent transition in the counter-rotating…

Turbulent transport provides the main contribution to particle and energy losses in tokamak plasmas, which control is of paramount importance for forthcoming reactors such as the Divertor-Tokamak-Test (DTT) facility under construction at…

Plasma Physics · Physics 2025-04-16 F. Cianfrani , G. Montani

Using various techniques from dynamical systems theory, we rigorously study an experimentally validated model by [Barkley et al., Nature, 526:550-553, 2015], which describes the rise of turbulent pipe flow via a PDE system of reduced…

Fluid Dynamics · Physics 2022-10-19 Maximilian Engel , Christian Kuehn , Björn de Rijk

The two-dimensional (2D) conformal field theory (CFT) suggests that the 2D plasma turbulence, governed by the Hasegawa-Mima (H-M) equation, may have multiple exponents of energy spectrum in momentum space. Electrostatic potential driven by…

Plasma Physics · Physics 2023-06-02 Shigeo Kawata

The transport of heat out of tokamak plasmas by turbulence is the dominant mechanism limiting the performance of fusion reactors. Turbulence can be driven by the ion temperature gradient (ITG) and suppressed by toroidal sheared flows.…

Plasma Physics · Physics 2017-03-20 Ferdinand van Wyk