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On the Nature of Monster Sawteeth during ICRF Heating

Description: A correlation between the presence of Energetic Particle Modes and long period sawteeth is explored. The crash of monster sawteeth is explained in terms of the loss of the stabilizing fast particles due to the EPM. High qa discharges, which never develop long period sawteeth, are explained in terms of ion loss due to Toroidal Alfvén Eigenmodes (TAE).
Date: May 1, 1999
Creator: Phillips, C.K.; Fredrickson, E.D.; Schilling, G.; Hosea, J.C.; Wilson, J.R.; Gorelenkov, N.N. et al.
Partner: UNT Libraries Government Documents Department

Theory of Resonance Influence of Sawtooth Crashes on Ions with Large Orbit Width

Description: The role of resonances in the sawtooth-crash-induced redistribution of fast ions is investigated. In particular, the conditions of wave-particle resonant interaction in the presence of the equilibrium electric field and the mode rotation are obtained, and effects of sawteeth on the resonant particles with arbitrary width of non-perturbed orbits are studied. It is found that resonances play the dominant role in the transport of ions having sufficiently high energy. It is shown that the resonance regions may overlap, in which case the resonant particles may constitute the main fraction of the fast ion population in the sawtooth mixing region. The behavior of the resonant particles is studied both by constructing a Poincaré map and analytically, by means of the adiabatic invariant derived in this paper and calculation of the characteristic frequencies of the particle motion.
Date: February 1, 1998
Creator: White, R.B.; Lutsenko, V.V.; Kolesnichenko, Y.I. & Yakovenko, Y.V.
Partner: UNT Libraries Government Documents Department

The evidence for non-local transport in TEXT

Description: The electron temperature response of a tokamak to rapid edge cooling has characteristics difficult to reconcile with local transport analysis. The initial observations in TEXT have been extended to a wider range of plasma and perturbation parameters, including auxiliary heating, and the associated turbulence changes have been measured across the plasma radius. The fast edge temperature drops and core temperature increases are quantified by more extensive analysis. A perturbation complementary to edge cooling, edge heating by a fast current ramp, evokes a completely complementary plasma response.
Date: November 11, 1996
Creator: Gentle, K.W.; Bravenec, R.V. & Cima, G.
Partner: UNT Libraries Government Documents Department

Distributions of Alpha Particles Escaping to the Wall because of Sawtooth Oscillations in TFTR

Description: It has been observed experimentally in deuterium-tritium shots of the Tokamak Fusion Test Reactor (TFTR) that crashes of sawtooth oscillations may result in very inhomogeneous flux of alpha particles to the wall. Namely, measurements with four detectors installed at the wall at 20°, 45°, 60°, and 90° below the midplane of the torus have shown that the alpha flux to the wall is strongly peaked at the 20° and 90° detectors and on the noise level at the 45° detector. To explain this phenomenon, both theoretical analysis and numerical simulation have been carried out. It is concluded that the "crash-induced prompt loss," i.e., the orbital loss of marginally trapped particles arising because of the crash-induced orbit transformation of circulating particles, is responsible for the flux to the 90° and 60° detectors, whereas the crash-induced stochastic diffusion of moderately trapped particles explains the large signal at the 20° detector. The calculated poloidal distributions of the integral alpha flux are in reasonable agreement with experimental data. In addition to the integral flux, the flux of particles with given energy was calculated. The energy spectrum of the escaping particles has also been calculated, which can be used for diagnostics of the crash type.
Date: November 1, 1998
Creator: Kolesnichenko, Ya.I.; Lutsenko, V.V.; White, R.B. & Yakovenko, Yu.V., Zweben, S.J.
Partner: UNT Libraries Government Documents Department

Sawtooth mixing of alpha particles in TFTR D-T plasmas

Description: Radially resolved confined alpha particle energy and density distributions are routinely measured on TFTR using two diagnostics: PCX and {alpha}-CHERS. The Pellet Charge-eXchange (PCX) diagnostic uses the ablation cloud formed by an impurity pellet (Li or B) for neutralization of the alphas followed by analysis of the escaping helium neutrals. PCX detects deeply trapped alpha particles in the energy range 0.5 - 3.8 MeV. The {alpha}-CHERS technique, were the alpha signal is excited by charge-exchange between alphas and the deuterium atoms of one of the heating beams and appears as a wing on the He{sup +} 468.6 nm line, detects mainly passing alphas in the range of 0.15 - 0.7 MeV. Studies of alpha losses during DT experiments on TFTR have also been conducted using lost alpha detectors located on the walls of the plasma chamber. All of these diagnostics were used for investigating the influence of sawtooth crashes on alphas in high power D-T discharges in TFTR. Both PCX and {alpha}-CHERS measurements show a strong depletion of the alpha core density and transport of trapped alphas radially outwards well beyond q = 1 surface after a sawtooth crash. Lost alpha detectors measure bursts of alpha loss of the previously confined alphas (<1%). Thus, a sawtooth crash leads mainly to radial redistribution of the alphas rather than losses. For modeling of alpha sawtooth mixing, a code is used which is based on the conventional model of magnetic reconnection and the conservation of particles, energy and magnetic flux. The effect of the particle orbit averaged toroidal drift in a perturbed helical electric field generated by the crash has also been included in the code. It is shown that mixing of the passing alphas is dominated by the magnetic reconnection whereas trapped alphas are affected mainly by ExB drift.
Date: December 31, 1996
Creator: Petrov, M.P.; Budny, R.V. & Chang, Z.
Partner: UNT Libraries Government Documents Department

Validation of 1-D transport and sawtooth models for ITER

Description: In this paper the authors describe progress on validating a number of local transport models by comparing their predictions with relevant experimental data from a range of tokamaks in the ITER profile database. This database, the testing procedure and results are discussed. In addition a model for sawtooth oscillations is used to investigate their effect in an ITER plasma with alpha-particles.
Date: December 31, 1996
Creator: Connor, J.W.; Turner, M.F.; Attenberger, S.E. & Houlberg, W.A.
Partner: UNT Libraries Government Documents Department

The reduction of low frequency fluctuations in RFP experiments

Description: The low frequency fluctuations seen in RFP experiments are found to be correlated with changes in the toroidal flux measured by diamagnetic loops surrounding the discharge. The correlation of the onset of impurity radiation and x-rays with the crash seen in experiments is caused by plasma bombarding the metal liner associated with this loss of flux. Efforts should be made to design improved stabilizing shells that will reduce the loss of flux and give improved RFP energy confinement times.
Date: September 1, 1998
Creator: Phillips, J.A.; Baker, D.A. & Gribble, R.F.
Partner: UNT Libraries Government Documents Department

TRANSP modeling of minority ion sawtooth mixing in ICRF + NBI heated discharges in TFTR

Description: Time independent code analysis indicates that the sawtooth relaxation phenomenon affects RF power deposition profiles through the mixing of fast ions. Predicted central electron heating rates are substantially above experimental values unless sawtooth relaxation is included. The PPPL time dependent transport analysis code, TRANSP, currently has a model to redistribute thermal electron and ion species, energy densities, plasma current density, and fast ions from neutral beam injection at each sawtooth event using the Kadomtsev (3) prescription. Results are presented here in which the set of models is extended to include sawtooth mixing effects on the hot ion population generated from ICRF heating. The ICRF generated hot ion distribution function, {line_integral}({nu}{sub {parallel}}, {nu}{sub {perpendicular}}), which is strongly peaked at the center before each sawtooth, is replaced throughout the sawtooth mixing volume by its volume averaged value at each sawtooth. The modified {line_integral}({nu}{sub {parallel}},{nu}{sub {perpendicular}}) is then used to recalculate the collisional transfer of power from the minority species to the background species. Results demonstrate that neglect of sawtooth mixing of ICRF-induced fast ions leads to prediction of faster central electron reheat rates than are measured experimentally.
Date: July 1, 1995
Creator: Goldfinger, R.C.; Batchelor, D.B.; Murakami, M.; Phillips, C.K.; Budny, R.; Hammett, G.W. et al.
Partner: UNT Libraries Government Documents Department

Effect of Sawtooth Oscillations on Energetic Ions

Description: The work summarizes results of the authors' studies on the energetic ion transport induced by sawtooth oscillations in tokamaks. The main attention is paid to description of physical mechanisms responsible for the transport. In addition to overview, the work contains new material. The new results concern the resonant interaction of the particles and the electromagnetic field of the sawtooth crash. In particular, it is discovered that the dominant harmonic of the crash (m = n = 1) can lead to stochastic motion of particles having large orbit width (potatoes). Regular motion of potatoes and quasi-stagnation particles in the presence of an n = 1 mode is studied, and their characteristic displacements associated with quick switching on/off the mode are found.
Date: December 10, 1999
Creator: White, R.B.; Lutsenko, V.V.; Kolesnichenko, Ya. I. & Yakovenko, Yu. V.
Partner: UNT Libraries Government Documents Department

Small-action Particles in a Tokamak in the Presence of an n = 1 Mode

Description: It is found that an m = n = 1 mode with the amplitude exceeding a certain threshold can lead to stochastic motion of energetic ions in tokamaks, the large orbit width particles (potatoes) being most easily affected. An n = 1 mode can redistribute particles also in the absence of stochasticity but only when the perturbation is quickly switched on/off, e.g., due to sawtooth crash. In the latter case, the perturbation results in regular motion of particles around a certain helical orbit, at which a resonance driven by the mode but having no amplitude threshold takes place.
Date: November 1, 1999
Creator: White, R.B.; Lutsenko, V.V.; Kolesnichenko, Ya. I. & Yakovenko, Yu. V.
Partner: UNT Libraries Government Documents Department

Small-action Resonance in Hamiltonian Systems and Redistribution of Energetic Ions in Tokamaks

Description: It has been found that an arbitrary small perturbation in an integrable Hamiltonian system typically leads to driven resonance in the regions of the phase space where at least one of the action variables is sufficiently small. In particular, such a small-action resonance is shown to play a dominant role in the sawtooth-crash-induced disappearance of a strongly localized gamma-ray and neutron emitting region in a tokamak plasma, which was observed experimentally.
Date: July 1, 1999
Creator: White, R.B.; Lutsenko, V.V.; Kolesnichenko, Ya. I. & Yakovenko, Yu. V.
Partner: UNT Libraries Government Documents Department

Controlling chaos in low and high dimensional systems with periodic parametric perturbations

Description: The effect of applying a periodic perturbation to an accessible parameter of various chaotic systems is examined. Numerical results indicate that perturbation frequencies near the natural frequencies of the unstable periodic orbits of the chaotic systems can result in limit cycles for relatively small perturbations. Such perturbations can also control or significantly reduce the dimension of high-dimensional systems. Initial application to the control of fluctuations in a prototypical magnetic fusion plasma device will be reviewed.
Date: June 1, 1998
Creator: Mirus, K. A. & Sprott, J. C.
Partner: UNT Libraries Government Documents Department

Dynamo and anomalous transport in the reversed field pinch

Description: The reversed field pinch is an effective tool to study the macroscopic consequences of magnetic fluctuations, such as the dynamo effect and anomalous transport. Several explanations exist for the dynamo (the self-generation of plasma current)--the MHD dynamo, the kinetic dynamo, and the diamagnetic dynamo. There is some experimental evidence for each, particularly from measurements of ion velocity and electron pressure fluctuations. Magnetic fluctuations are known to produce energy and particle flux in the RFP core. Current profile control is able to decrease fluctuation-induced transport by a factor of five. Improved confinement regimes are also obtained at deep reversal and, possibly, with flow shear.
Date: August 1, 1998
Creator: Prager, S. C.
Partner: UNT Libraries Government Documents Department

Measurement of core velocity fluctuations and the dynamo in a reversed-field pinch

Description: Plasma flow velocity fluctuations have been directly measured in the high temperature magnetically confined plasma in the Madison Symmetric Torus (MST) Reversed-Field Pinch (RFP). These measurements show that the flow velocity fluctuations are correlated with magnetic field fluctuations. This initial measurement is subject to limitations of spatial localization and other uncertainties, but is evidence for sustainment of the RFP magnetic field configuration by the magnetohydrodynamic (MHD) dynamo. Both the flow velocity and magnetic field fluctuations are the result of global resistive MHD modes of helicity m = 1, n = 5--10 in the core of MST. Chord-averaged flow velocity fluctuations are measured in the core of MST by recording the Doppler shift of impurity line emission with a specialized high resolution and throughput grating spectrometer. Magnetic field fluctuations are recorded with a large array of small edge pickup coils, which allows spectral decomposition into discrete modes and subsequent correlation with the velocity fluctuation data.
Date: December 31, 1998
Creator: Den Hartog, D. J.; Craig, D.; Fiksel, G.; Fontana, P. W.; Prager, S. C.; Sarff, J. S. et al.
Partner: UNT Libraries Government Documents Department

Measurement of the dynamo effect in a plasma

Description: A series of the detailed experiments has been conducted in three laboratory plasma devices to measure the dynamo electric field along the equilibrium field line (the {alpha} effect) arising from the correlation between the fluctuating flow velocity and magnetic field. The fluctuating flow velocity is obtained from probe measurement of the fluctuating E x B drift and electron diamagnetic drift. The three major findings are (1) the {alpha} effect accounts for the dynamo current generation, even in the time dependence through a ``sawtooth`` cycle; (2) at low collisionality the dynamo is explained primarily by the widely studied pressureless Magnetohydrodynamic (MHD) model, i.e., the fluctuating velocity is dominated by the E x B drift; (3) at high collisionality, a new ``electron diamagnetic dynamo`` is observed, in which the fluctuating velocity is dominated by the diamagnetic drift. In addition, direct measurements of the helicity flux indicate that the dynamo activity transports magnetic helicity from one part of the plasma to another, but the total helicity is roughly conserved, verifying J.B. Taylor`s conjecture.
Date: November 1, 1995
Creator: Ji, H.; Prager, S.C.; Almagri, A.F.; Sarff, J.S.; Hirano, Y. & Toyama, H.
Partner: UNT Libraries Government Documents Department

Confinement in the RFP: Lundquist number scaling, plasma flow, and reduced transport

Description: Global heat and particle transport in the reversed field pinch (RFP) result primarily from large-scale, resistive MHD fluctuations which cause the magnetic field in the core of the plasma to become stochastic. Achieving a better understanding of t his turbulent transport and identifying ways to reduce it are critical RFP development issues. The authors report measurements of the Lundquist number (S-scaling) of magnetic and ion flow velocity fluctuations in the Madison Symmetric Torus (MST) RFP. The S-scaling of magnetic fluctuations in MST is weaker than previous measurements {tilde b}/B {approximately} S{sup {minus}1/2} in smaller (lower S) RFP plasmas. Impurity ion flow velocity fluctuations (measured with fast Doppler spectroscopy) have a scaling similar to the magnetic fluctuations, falling in the range {tilde V}/V{sub A} {approximately} S{sup {minus}[0.08-0.10]}. The MHD dynamo ({tilde V} x {tilde b}) up to 15 V/cm was measured in the plasma core. Interestingly, the scaling of the MHD dynamo ({tilde V} x {tilde b}) {approximately} S{sup {minus}[0.64-0.88]} is stronger than for its constituents, a result of decreased coherency between {tilde V} and {tilde b} with increasing S. A weak S-scaling of magnetic fluctuations implies fluctuation suppression measures (e.g., current profile control) may be required in higher-S RFP plasmas. Two types of current profile modifications have been examined--inductive and electrostatic. The inductive control halves the amplitude of global magnetic fluctuations and improves the confinement by a factor of 5. The electrostatic current injection, localized in the edge plasma, reduces edge resonant fluctuations and improves the energy confinement. In addition, regimes with confinement improvement associated with the plasma flow profile are attained.
Date: October 1, 1998
Creator: Fiksel, G.; Almagri, A.F. & Anderson, J.K.
Partner: UNT Libraries Government Documents Department

Spectroscopic measurement of the MHD dynamo in the MST reversed field pinch

Description: The author has directly observed the coupling of ion velocity fluctuations and magnetic field fluctuations to produce an MHD dynamo electric field in the interior of the MST reversed field pinch. Chord averaged ion velocity fluctuations were measured with a fast spectroscopic diagnostic which collects line radiation from intrinsic carbon impurities simultaneously along two lines of sight. The chords employed for the measurements resolved long wavelength velocity fluctuations of several km/s at 8--20 kHz as tiny, fast Doppler shifts in the emitted line profile. During discrete dynamo events the velocity fluctuations, like the magnetic fluctuations, increase dramatically. The toroidal and poloidal chords with impact parameters of 0.3 a and 0.6 a respectively, resolved fluctuation wavenumbers with resonance surfaces near or along the lines of sight indicating a radial velocity fluctuation width for each mode which spans only a fraction of the plasma radius. The phase between the measured toroidal velocity fluctuations and the magnetic fluctuations matches the predictions of resistive MHD while the poloidal velocity fluctuations exhibit a phase consistent with the superposition of MHD effects and the advection of a mean flow gradient past the poloidal line of sight. Radial velocity fluctuations resolved by a chord through the center of the plasma were small compared to the poloidal and toroidal fluctuations and exhibited low coherence with the magnetic fluctuations. The ensembled nonlinear product of the ion velocity fluctuations and fluctuations in the magnetic field indicates a substantial dynamo electric field which peaks during the periods of spontaneous flux generation.
Date: September 1, 1998
Creator: Chapman, J.T.
Partner: UNT Libraries Government Documents Department

The dynamics of core temperature fluctuations during sawtooth oscillations on TEXT-U

Description: Core electron temperature fluctuations are measured in a tokamak plasma where some degree of time resolution is achieved. There is a strong correlation between the turbulence level and the phase of the sawtooth oscillation. A global linear relationship between the temperature fluctuation amplitude and the electron temperature gradient scale length is found. The enhancement in fluctuations at the sawtooth crash is correlated to a steepening of the electron temperature gradient created as the sawtooth heat pulse propagates outward.
Date: May 3, 1995
Creator: Watts, C. & Gandy, R.F.
Partner: UNT Libraries Government Documents Department

Off-axis sawteeth and double-tearing reconnection in reversed magnetic shear plasmas in TFTR

Description: Off-axis sawteeth are often observed in reversed magnetic shear plasmas when the minimum safety factor q is near or below 2. Fluctuations with m/n = 2/1 (m and n are the poloidal and toroidal mode numbers) appear before and after the crashes. Detailed comparison has been made between the measured T{sub e} profile evolution during the crash and a nonlinear numerical magnetohydrodynamics (MHD) simulation. The good agreement between the observation and simulation indicates that the off-axis sawteeth are due to a double-tearing magnetic reconnection process.
Date: June 1, 1996
Creator: Chang, Z.; Park, W. & Fredrickson, E.D.
Partner: UNT Libraries Government Documents Department

Role of Alfvén Instabilities in Energetic Ion Transport

Description: Experiments of plasma heating at the ion cyclotron resonance of a minority specie have shown that the heating efficiency degrades above a certain power threshold. It is found that this threshold is due to the destabilization of a branch of shear Alfvén waves which causes a diffusive loss of fast ions, the Energetic Particle Modes. These modes not only play a fundamental role in the transport of the fast ions, but appear closely related to the formation of the giant sawteeth.
Date: November 1, 1998
Creator: Bell, M.G.; Bernabei, S.; Budny, R.; Darrow, D.; Fredrickson, E.D. & al., et
Partner: UNT Libraries Government Documents Department

Correlation between excitation of Alfven modes and degradation of ICRF heating efficiency in TFTR

Description: Alfven modes are excited by energetic ions in TFTR during intense minority ICRF heating. There is a clear threshold in rf power above which the modes are destabilized. The net effect of these modes is the increase of the fast ion losses, with an associated saturation of the ion tail energy and of the efficiency of the heating. Typically, several modes are excited with progressive n-numbers, with frequencies in the neighborhood of 200 kHz. Results suggest that Energetic Particle Modes (EPM), mostly unseen by the Mirnov coils, are generated near the center and are responsible for the ion losses. Stronger global TAE modes, which are destabilized by the stream of displaced fast ions, appear responsible only for minor losses.
Date: May 1, 1997
Creator: Bernabei, S.; Chang, Z. & Darrow, D.
Partner: UNT Libraries Government Documents Department

Effects of plasma shape and profiles on edge stability in DIII-D

Description: The results of recent experimental and theoretical studies concerning the effects of plasma shape and current and pressure profiles on edge instabilities in DIII-D are presented. Magnetic oscillations with toroidal mode number n {approx} 2--9 and a fast growth time {gamma}{sup {minus}1} = 20--150 {micro}s are often observed prior to the first giant type 1 ELM in discharges with moderate squareness. High n ideal ballooning second stability access encourages edge instabilities by facilitating the buildup of the edge pressure gradient and bootstrap current density which destabilize the intermediate to low n modes. Analysis suggests that discharges with large edge pressure gradient and bootstrap current density are more unstable to n > 1 modes. Calculations and experimental results show that ELM amplitude and frequency can be varied by controlling access to the second ballooning stability regime at the edge through variation of the squareness of the discharge shape. A new method is proposed to control edge instabilities by reducing access to the second ballooning stability regime at the edge using high order local perturbation of the plasma shape in the outboard bad curvature region.
Date: December 1, 1998
Creator: Lao, L.L.; Chan, V.S. & Chen, L.
Partner: UNT Libraries Government Documents Department