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  • 1
    Electronic Resource
    Electronic Resource
    Predictions of finite Larmor radius reduced magnetohydrodynamics for Rayleigh–Taylor unstable plasmas (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 2525-2527 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Finite Larmor radius magnetohydrodynamics (FLR MHD), being valid when the ion Larmor radius is of the order of the characteristic length scale, predicts a Rayleigh–Taylor instability in an inhomogeneous plasma with unfavorable field line curvature. It is shown that the FLR MHD equations can be reduced to a set of two scalar field equations for the pressure and the electrostatic potential in the flute approximation and the large aspect ratio limit. Using a Galerkin approximation with a few dominating modes, the simple model reproduces previous numerical simulations based on the full FLR MHD equations. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.872936
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  • 2
    Electronic Resource
    Electronic Resource
    Center manifold approach to the reduced magnetohydrodynamic bifurcations with diffusive magnetic field lines (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 6 (1999), S. 1083-1092 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Bifurcations in plasmas are investigated on the basis of a reduced dissipative magnetohydrodynamic (MHD) model. In contrast to previous investigations, the diffusivity of magnetic field lines is taken into account. Making use of the center manifold theory for the first bifurcations, and Galerkin approximations for higher bifurcations, it is shown that the diffusion of magnetic field lines affects the transitions in the transients. When the mode which resembles the so-called high confinement mode becomes unstable via a Hopf bifurcation, the changes in the oscillation frequencies are calculated. It is demonstrated that over a wide range of parameter values the so called electrostatic approximation is quite good. The strength of the generated magnetic field fluctuations is calculated, and the influence of the latter on a possible magnetic braiding is estimated. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.873355
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  • 3
    Electronic Resource
    Electronic Resource
    Center manifold theory for the dynamics of the L–H-transition (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 995-1004 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The transition of a tokamak plasma from low (L) to high (H) confinement is investigated. The spatio-temporal behavior is analyzed using a model which is based on the reduced magnetohydrodynamic (MHD) description. The latter leads to a set of partial differential equations (PDE's) which are solved numerically. Analytical insight into the dynamical behavior is obtained by applying the center manifold theory (in the case of one dominating marginal mode) and an inertial manifold approximation (for several unstable modes). These procedures suggest to include an effective heating source into the equations in order to qualitatively understand the appearance of dithering cycles and edge localized modes (ELM's). The numerical and analytical predictions are compared with recent experimental observations. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.871805
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  • 4
    Electronic Resource
    Electronic Resource
    Properties of a two-nonlinearity model for drift-wave turbulence (1995)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 2 (1995), S. 2640-2652 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The physical and mathematical consequences of a two-nonlinearity equation for drift-wave turbulence are discussed. The one-field model contains the linear electron Landau damping, the ion polarization drift nonlinearity, and, due to the E×B convected phase shift between density and potential fluctuations, an additional E×B nonlinearity. The latter changes the behavior of the system significantly. It is proved that for the two-nonlinearity model canonical variables do not exist within a Hamiltonian description. Numerical simulations show that the self-organization into large vortices is suppressed, and for dominating E×B nonlinearity a tendency to a zonal flow-like state is favored. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.871229
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  • 5
    Electronic Resource
    Electronic Resource
    Anomalous particle transport in a low-temperature plasma without magnetic shear (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 2869-2878 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple shearless model for collisional drift waves in low-temperature plasmas is analyzed to point at fluctuation-induced anomalous plasma transport. Spatially coherent structures do play an important role in the particle transport beyond a critical magnetic field strength. The transition from collisional to fluctuation-induced transport is investigated. Special emphasis is put on analytical models for understanding the transition. The results from numerical simulations are interpreted. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.871647
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  • 6
    Electronic Resource
    Electronic Resource
    On the stability of collapse in the critical case (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 967-973 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Collapsing solutions in the Cauchy problem of the nonlinear Schrödinger equation i ∂tψ + ∇2ψ +|| ψ||pψ = 0 (x∈Rd) are considered in the so-called critical case pd=4, where d is the spatial dimension. A stability theorem for radial collapse is presented which proves that the formation of the singularity remains "close'' to the self-similar collapsing solution with a spatial profile given by the ground state solitary wave, provided the energy H{ψ}〈0. An analogous result is given for the scalar Zakharov equations and a generalized Korteweg–de Vries equation ∂tu + (p + 1)up ∂xu + ∇2 ∂xu = 0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529749
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  • 7
    Electronic Resource
    Electronic Resource
    Dynamical properties of drift vortices (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 1008-1010 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Drift vortices are described by the Hasegawa–Mima equation in the case of density gradient drift waves. From computer results, it is known that the modon solutions of the Hasegawa–Mima equation are quite stable. Here the linear stability of ground state modon solutions is proved analytically by an indirect technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865094
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  • 8
    Electronic Resource
    Electronic Resource
    Selective decay within a one-field model of dissipative drift-wave turbulence (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 2672-2674 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that one-field models can cover the selective decay in density and potential when the density is calculated appropriately.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860186
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  • 9
    Electronic Resource
    Electronic Resource
    Stability of stationary three-wave interactions in homogeneous and infinite systems (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 286-292 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: One-dimensional three-wave models, known for stimulated Brillouin scattering (SBS) and stimulated Raman scattering (SRS), are investigated. It is shown that in homogeneous systems of infinite extent the steady-state three-wave solution for SBS with a reflectivity less than 100% is intrinsically unstable. From a numerical solution it is concluded that nearly all stationary states decay in time and result in a state with reflectivity coefficient R=1; only the latter is linearly stable in a homogeneous plasma of infinite length. The asymptotic solutions for SBS in plasmas are calculated and the similarity in the dynamics between SBS and SRS is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.859194
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  • 10
    Electronic Resource
    Electronic Resource
    Variational formulation for the evolution of a deep-water wavetrain in two space dimensions (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2315-2316 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability of two-dimensional perturbations of the two-dimensional nonlinear Schrödinger equation for deep-water soliton solutions is investigated. A new variational method is developed that allows calculation of the maximum growth rates close to the cutoff where the conventional variational formulations break down. By a simple numerical evaluation of the variational principle, the growth rate curve is obtained in agreement with previous, purely numerical computations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865287
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