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  • 1
    Electronic Resource
    Electronic Resource
    Statistical theories of Langmuir turbulence II: Subsonic to sonic transition (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 202-218 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The subsonic limit of the quadratic direct interaction approximation (DIA) applied to the Zakharov equations is compared with the cubic DIA applied to the nonlinear Schrödinger equation, which is the subsonic limit of the Zakharov equations. Comparisons with Monte Carlo simulations of a truncated system show that the first theory more accurately describes the regime of stationary turbulence, while the second theory more accurately describes the subsonic evolution of the modulational instability. The weak turbulence limits of the two theories describe the sonic and subsonic regimes, respectively. The addition of vertex corrections to the DIA leads to a hybrid weak turbulence theory that smoothly interpolates between the sonic and subsonic regimes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865181
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Wave breaking in cold plasma (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1432-1440 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Strongly nonlinear plasma oscillations in a cold plasma are investigated in the wave breaking regime using the two-fluid model. The electrons are described in Lagrangian coordinates; the ions are described by the usual Eulerian coordinates. The model is extended to describe the motion after wave breaking has occurred. Numerical solutions are followed up to and beyond wave breaking for both driven and undriven cases. In a driven cold plasma, the plasma waves are excited from fluctuations by the modulational instability, growing to very large amplitudes, which leads to wave breaking. For the undriven cold plasma, large initial perturbations are assumed, which also lead to wave breaking. Multistreams and the generation of fast electrons are observed for both cases after wave breaking.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860105
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Numerical comparison of strong Langmuir turbulence models (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 1096-1103 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Two models of Langmuir turbulence, the nonlinear Schrödinger equation and the Zakharov equations, are solved numerically for an initial value problem in which the electric field evolves from an almost flat initial condition via the modulational instability and finally saturates into a set of solitons. The two models agree well with each other only when the initial dimensionless electric field has an amplitude less than unity. An analytic soliton gas model consisting of equal-amplitude, randomly spaced, zero-speed solitons is remarkably good at reproducing the time-averaged Fourier spectra in both cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866307
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Statistical approach to cubic Langmuir turbulence (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 1011-1023 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Previous work on the cubic direct interaction approximation applied to the truncated (in Fourier space) cubically nonlinear Schrödinger equation model of Langmuir turbulence is extended to more modes. In the undriven, undamped case, excellent agreement between the statistical theory and a numerical ensemble of solutions of the dynamic equations is obtained. In the driven, damped case, satisfactory agreement is obtained provided the dynamic ensemble is limited to initial conditions in the basin of attraction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865899
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Numerical test of weak turbulence theory (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 1797-1804 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The analytic theory of weak Langmuir turbulence is well known, but very little has previously been done to compare its predictions with numerical solutions of the basic dynamical evolution equations. In this paper, numerical solutions of the statistical weak turbulence theory are compared with numerical solutions of the Zakharov model of Langmuir turbulence, and good agreement in certain regimes of very weak field strength is found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858910
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Statistical theory of cubic Langmuir turbulence (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2395-2405 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The cubic direct interaction approximation is applied to a truncated (in Fourier space) version of the cubically nonlinear Schrödinger equation model of Langmuir physics. The results are compared (in the three-mode case) to those for an ensemble of numerical solutions of the dynamical equations with 10 000 different sets of Gaussianly distributed initial conditions. In the undriven, undamped case, the statistical theory (but not the ensemble) evolves to a state of thermal equilibrium. In the driven, damped case, the statistical theory appears to evolve to a state close to that corresponding to one of the limit cycles of the dynamical equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865245
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    A hybrid Zakharov particle simulation of ionospheric heating (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 708-718 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A one-dimensional hybrid simulation model incorporating one of the Zakharov equations for the high-frequency waves and a particle-in-cell (PIC) simulation of the ions is described and applied to ionospheric heating using realistic parameters. Results from the hybrid simulation are compared with a Zakharov simulation that incorporates a phenomenological model of ion damping. Both the hybrid and Zakharov simulations predict the formation of solitonlike waves. The early time behavior of the two simulations is different due to the high noise level in the hybrid simulation, but the late time behavior is quite similar.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860269
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Stochasticity in numerical solutions of the nonlinear Schrödinger equation (1987)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 30 (1987), S. 3150-3154 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The cubically nonlinear Schrödinger equation is an important model of nonlinear phenomena in fluids and plasmas. Numerical solutions in a spatially periodic system commonly involve truncation to a finite number of Fourier modes. These solutions are found to be stochastic in the sense that the largest Lyapunov exponent is positive. As the number of modes is increased, the size of this exponent appears to converge to zero, in agreement with the recent demonstration of the integrability of the spatially periodic case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.866489
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    Paper (German National Licenses)
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