Trapped particles in toroidal magnetic systems

Kadomtsev, B. B.; Pogutse, O. P.

doi:10.1088/0029-5515/11/1/010

Cited by 470 publications

(395 citation statements)

References 34 publications

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“…This is in contrast to the standard picture of (dissipative) TIMs, introduced by Kadomtsev and Pogutse in Ref. 35, which propagate in the electron diamagnetic direction and are thus unable to resonate with precession (trapped) ions.…”

Section: Ctim-kh Couplingcontrasting

confidence: 64%

Shear-flow trapped-ion-mode interaction revisited. II. Intermittent transport associated with low-frequency zonal flow dynamics

Ghizzo

Palermo

2015

Physics of Plasmas

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Équipe 107 : Physique des plasmas chaudsInternational audienceWe address the mechanisms underlying low-frequency zonal flow generation in turbulent system and the associated intermittent regime of ion-temperature-gradient (ITG) turbulence. This model is in connection with the recent observation of quasi periodic zonal flow oscillation at a frequency close to 2 kHz, at the low-high transition, observed in the ASDEX Upgrade [Conway et al., Phys. Rev. Lett. 106, 065001 (2011)] and EAST tokamak [Xu et al., Phys. Rev. Lett 107, 125001 (2011)]. Turbulent bursts caused by the coupling of Kelvin-Helmholtz (KH) driven shear flows with trapped ion modes (TIMs) were investigated by means of reduced gyrokinetic simulations. It was found that ITG turbulence can be regulated by low-frequency meso-scale zonal flows driven by resonant collisionless trapped ion modes (CTIMs), through parametric-type scattering, a process in competition with the usual KH instability

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Section: Ctim-kh Couplingcontrasting

confidence: 64%

Shear-flow trapped-ion-mode interaction revisited. II. Intermittent transport associated with low-frequency zonal flow dynamics

Ghizzo

Palermo

2015

Physics of Plasmas

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“…(12) Hammett and Perkins, 1990;Chang and Callen, 1992;Dorland and Hammett, 1993;Beer and Hummett, 1996;and Waltz et al, 1997. There are many calculations for the nonadiabatic electron response based on the truncated chain of electron hydrodynamic equations (Braginskii, 1965;Horton and Varma, 1972) and on the kinetic equations Kadomtsev and Pogutse, 1979;. The general results are complicated by the distinction between the trapped and passing electron orbits and the collisionally broadened resonances of the electron guiding center drift orbits with the wave.…”

Section: Drift-wave Mechanism a Plasma Convection In Quasineutramentioning

confidence: 99%

“…The original wave-particle dissipation dispersion functions were calculated in the earlier works of Kadomtsev and Pogutse (1971) and Mikhailovskii (1974). For the purpose of this section it is sufficient to take ␦ñ e (k) as given in Eq.…”

Section: B Single Helicity and Ballooning Eigenmodesmentioning

confidence: 99%

“…Yagi et al (1994) Comparison of the current diffusive , in the form given by Fukuyama et al (1994), with the ITG for a high beta poloidal discharge is given in Horton et al (1997). The importance of the electron transport at the c/ pe scale has been pointed out and developed by many authors: Ohkawa (1978), Kadomtsev and Pogutse (1979), Lee et al (1987), Horton et al (1988), Horton, Hong, et al (1990), Connor (1993), Itoh et al (1994), andFukuyama et al (1994). The resulting formula for e is able to explain the electron flux in numerous power balance studies (Taroni et al, 1994).…”

Section: Short-wavelength Drift-wave Turbulencementioning

confidence: 99%

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Drift waves and transport

1999

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Drift waves occur universally in magnetized plasmas producing the dominant mechanism for the transport of particles, energy and momentum across magnetic field lines. A wealth of information obtained from quasistationary laboratory experiments for plasma confinement is reviewed for drift waves driven unstable by density gradients, temperature gradients and trapped particle effects. The modern understanding of Bohm transport and the role of sheared flows and magnetic shear in reducing the transport to the gyro-Bohm rate are explained and illustrated with large scale computer simulations. The types of mixed wave and vortex turbulence spontaneously generated in nonuniform plasmas are derived with reduced magnetized fluid descriptions. The types of theoretical descriptions reviewed include weak turbulence theory, Kolmogorov anisotropic spectral indices, and the mixing length. A number of standard turbulent diffusivity formulas are given for the various space-time scales of the drift-wave turbulent mixing. [S0034-6861(99)00803-X] CONTENTS

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“…More detailed treatments of the clas-' sical theory, with extensive references, may be found in Braginskii (1965) and Kaufman (1966). The microscopic processes underlying neoclassical transport, as related to field geometry, are considered by Kadomtsev and Pogutse (1971), who also discuss a related class of plasma instabilities. Neoclassical transport is also considered in a review by Galeev and Sagdeev (1975), and in a relatively elementary reviem by Hazeltine (1975).…”

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confidence: 99%

Theory of plasma transport in toroidal confinement systems

1976

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The dissipation induced by coulomb-collisional scattering provides an irreducible minimum, and thus a useful standard for comparison, for transport processes in a hot, magnetically confined plasma. The kinetic description of this dissipation is provided by an equation of the Fokker -Planck form. As in the standard transport theory for a neutral gas, approximate solution of the Fokker -Planck equation permits the calculation of transport coefficients, which linearly relate the fluxes of particles, energy, and electric charge, to the density and temperature gradients, and to the electric field. The transport relations are useful in studying the confinement properties of present and future experimental devices for research in controlled thermonuclear fusion. The transport theory for a magnetized plasma (in which the Larmor radius is much smaller than gradient scale lengths describing the plasma fluid) departs from the theory for a neutral gas in several fundamental ways. Thus, transport coefficients for a magnetized plasma can be calculated even when the collisional mean free path is much longer than the gradient scale length (as would pertain in thermonuclear regimes). Such transport coefficients are generally nonlocal, being defined in terms of averages over surfaces with macroscopic dimensions. Furthermore, when the mean free path is long, the magnetized-plasma transport coefficients depend crucially upon the magnetic field geometry, the effects of which must be treated at the kinetic level of the Fokker -Planck equation. The results display several novel couplings between collisional dissipation and the electromagnetic field. The present review of magnetizedplasma transport theory is intended to be as widely accessible as possible. Thus the relevant features of magnetic confinement in closed (toroidal) systems, and of charged particles in spatially varying fields, are derived, at least in outline, from first principles. Although consideration is given to "classical" transport in which most field geometric effects are omitted, major emphasis is placed on the "neoclassical" theory which has been developed over the last decade, Neoclassical transport coefficients are specifically relevant to a magnetically confined plasma, rather than to just a magnetized plasma; their unusual features, such as nonlocality and geometry dependence, become particularly important in the high temperature regime of proposed thermonuclear reactors, The area of neoclassical theory which seems most complete -its application to axisymmetric tokamak-type confinement systems -is correspondingly stressed. CONTENTS

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Trapped particles in toroidal magnetic systems

Cited by 470 publications

References 34 publications

Shear-flow trapped-ion-mode interaction revisited. II. Intermittent transport associated with low-frequency zonal flow dynamics

Shear-flow trapped-ion-mode interaction revisited. II. Intermittent transport associated with low-frequency zonal flow dynamics

Drift waves and transport

Theory of plasma transport in toroidal confinement systems

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