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  • 11
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 781-791 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Drift resistive ballooning modes (DRBM) are studied for present-day tokamak edge plasmas. A ballooning equation has been derived for DRBM, corresponding to an "optimal ordering,'' i.e., such a choice of the length and time normalizing units that make the three terms in the vorticity equation to be of the same order. A simple criterion to distinguish strong and weak ballooning regimes for DRBM has been obtained. The DRBM in the strong ballooning regime have been studied and it has been found that they are robustly unstable with an ideal growth rate γ∝cs/(RLn)1/2. The weak ballooning regime also has been studied. It has been found that there exist two different unstable branches in this case. The first one has been identified as a conventional DRBM studied earlier. It has been shown, however, that this solution is stabilized when magnetic shear sˆ=aq'/q is order of 1. The other branch has a stronger ballooning structure compared to the conventional DRBM branch and is localized on the outside of the torus. It is less unstable for a weak shear, but is the only one that is robustly unstable for sˆ∼1. A numerical simulation has shown that this branch matches the strong ballooning solution. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 2758-2768 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A fluid equilibrium consisting of a periodic array of counter-rotating vortices is found to be unstable to the generation of one-dimensional sheared flow along the direction of periodicity. This instability is inviscid (exists for zero viscosity μ) or viscous (with growth rate γ∼μ3/4) depending on the elongation of the vortices. Nonlinearly, the instability goes through a vortex reconnection or "peeling'' phase in which one of the vortices per period is destroyed, leading to a state with a chain of islands. Without a source, the flow evolves to pure one-dimensional shear flow, which decays because of viscosity on a much longer time scale. In the presence of a source driving the initial vortices, the flow evolves to an equilibrium having vortex flow plus shear flow and, for sufficiently high Reynolds number, having only one vortex per periodicity length rather than two, i.e., with islands.
    Type of Medium: Electronic Resource
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  • 13
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The comments of Montgomery and Matthaeus on the authors' paper1, have been answered. The results do not contradict those of Montgomery and Matthaeus but for simple case considered, transition to shear flow state and shape of initial vortices is explained. (AIP)
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1822-1832 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An investigation of the ion temperature gradient instability that focuses on the behavior of the mode when it is weakly unstable is presented. It is shown that ηi= (2)/(3) is the threshold for long wavelength instability, ηi being the ratio of the density gradient scale length to the ion temperature gradient scale length. For ηi〉0.902, a short wavelength mode is concomitantly unstable. The transport resulting from both the short and the long wavelengths is shown to constitute a "soft'' turn on of anomalous transport for ηi〈2, with long (short) wavelengths dominating for high (weak) enough collisionality. The point ηi=2 represents a "hard'' threshold for transport: Beyond this point, large, collisionless transport over all wavelengths is precipitated. A nonlocal collisional theory as well as a kinetic theory with a Krook collision operator are presented to describe the progression from weak to strong instability. Transport estimates, based on mixing length arguments, are given for the various regimes incorporated by the critical points ηi= (2)/(3) , 0.902, and 2.
    Type of Medium: Electronic Resource
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  • 15
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 2694-2702 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A set of coupled integral equations is derived to investigate the finite beta effects on the slab ion temperature gradient driven modes for a collisionless plasma in a sheared magnetic field. Low beta plasma is considered so that only the parallel component of perturbed vector potential A˜(parallel) and the perturbed scalar potential φ˜ are involved. Comprehensive parametric studies show that finite beta of several percent could have significant stabilization effects on the slab modes under investigation.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 3299-3304 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The high beta regime of the lower hybrid drift instability is studied using a fully electromagnetic dispersion relation in the local approximation. The electrons are described using a kinetic model that includes the effect of finite beta orbit modifications and three different models (unmagnetized, magnetized without ∇B drifts, and magnetized with ∇B drifts) are used for the ions. It is found that when magnetized ions without ∇B drifts are considered, the modes remain unstable for larger values of beta and the spectrum is very different from the unmagnetized ion case. When ∇B drift effects are included, the results became very similar to the unmagnetized ion case and some arguments are provided to explain this behavior.
    Type of Medium: Electronic Resource
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  • 17
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 2928-2936 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The localization of drift and ion cyclotron modes as well as the drift cyclotron instability for both Maxwellian and loss cone ion energy distributions have been studied. The WKB method for integral equations is found to give insight into the mode structure as well as characteristics of the spectrum, and the method will be used to understand recent numerical results of other authors.
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1331-1339 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability of electron temperature gradient driven modes in a collisionless plasma with magnetic shear has been studied. Two coupled integral equations for the electrostatic and vector potentials have been solved numerically. The properties of these modes derived on the basis of numerical investigation have been utilized to estimate the anomalous electron transport induced by them.
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 399-408 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The finite ion gyroradius effects on the stability of global tearing modes are studied using analytic and numerical techniques. It is found that in the collisional regime the modes are weakly stabilized compared to the zero ion temperature case. In the semicollisional regime, the stabilization is weaker than the polarization drift stabilization in the zero ion temperature case. There is overall a very minor finite ion temperature modification of the stability boundary in the plasma beta, collisionality space.
    Type of Medium: Electronic Resource
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  • 20
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 2519-2524 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Recent theoretical work pertaining to spontaneously generated or forced plasma rotation in tokamaks is discussed. A description of the spontaneous poloidal spin-up of tokamaks from the Stringer effect is given, highlighting the necessary condition of poloidally asymmetric particle accumulation. The possibility of inducing poloidal rotation using the Stringer effect by poloidally asymmetric particle fueling is suggested. The linear theory of E×B velocity shear stabilization of tokamak microinstabilities is discussed with an emphasis on the general features of the theory and some nonlinear concerns. It is argued that the critical velocity shear for stabilization of microinstabilities in tokamaks required by linear theory may be, in order of magnitude, a universal frequency. The feasibility of driving perpendicular rotation in tokamaks by neutral beam injection, to suppress microturbulence, is assessed for both toroidal and poloidal injection schemes.
    Type of Medium: Electronic Resource
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