Intrinsic modulational Alfvénic turbulence

Oliveira, Luiz Paulo Luna de; Rizzato, Felipe Barbedo; Chian, Abraham C.‐L.

doi:10.1017/s0022377897005837

Cited by 10 publications

(11 citation statements)

References 7 publications

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“…In the next section, the model (23)(24) is used to investigate two parametric instabilities extensively studied in classical plasmas: the decay instability and the four-wave interaction.…”

Section: Quantum Zakharov Equationsmentioning

confidence: 99%

Modified Zakharov equations for plasmas with a quantum correction

et al. 2004

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Quantum Zakharov equations are obtained to describe the nonlinear interaction between quantum Langmuir waves and quantum ion-acoustic waves. These quantum Zakharov equations are applied to two model cases, namely the four-wave interaction and the decay instability. In the case of the four-wave instability, sufficiently large quantum effects tend to suppress the instability.For the decay instability, the quantum Zakharov equations lead to results similar to those of the classical decay instability except for quantum correction terms in the dispersion relations. Some considerations regarding the nonlinear aspects of the quantum Zakharov equations are also offered.

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“…In the next section, the model (23)(24) is used to investigate two parametric instabilities extensively studied in classical plasmas: the decay instability and the four-wave interaction.…”

Section: Quantum Zakharov Equationsmentioning

confidence: 99%

Modified Zakharov equations for plasmas with a quantum correction

et al. 2004

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“…A numerical study of acceleration of Alfvén solitons by Nocera and Buti [1996] based on DNLS shows that under the action of an external harmonic driver nonlinear wave interactions develop and evolve to spatiotemporal chaos. De Oliveira et al [1997] studied Alfvén spatiotemporal chaos in a dispersive modulational regime by solving a set of coupled wave equations. Buti [1999] discussed spatiotemporal chaos in nonlinear Alfvén waves described by DNLS.…”

Section: Alfvén Chaosmentioning

confidence: 99%

On the chaotic nature of solar‐terrestrial environment: Interplanetary Alfvén intermittency

et al. 2006

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[1] We present an overview of observational and theoretical evidence of chaos and intermittency in the solar-terrestrial environment including solar dynamo, solar atmosphere, solar wind, and terrestrial magnetosphere-ionosphere-atmosphere. The chaotic nature of space plasmas is studied by a nonlinear model of Alfvén waves described by the low-dimensional limit of the derivative nonlinear Schrödinger equation given by its stationary solutions in the frame moving with the driver wave velocity. A periodic window of the bifurcation diagram is constructed to identify two types of Alfvén chaos related to type-I intermittency and crisis-induced intermittency. We show that an Alfvén chaotic attractor is composed of chaotic saddles and unstable periodic orbits and explain the links between these unstable structures and Alfvén intermittency. The role of interplanetary Alfvén intermittency in the solar wind driving of intense geomagnetic activities is discussed.

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“… Buti et al [1999] showed that inhomogeneities can destroy the integrability of an Alfvén system, inducing chaos even without any driver. de Oliveira et al [1997] used the spectral method to solve a set of nonlinearly coupled MHD wave equations. Their results showed that the degree of Alfvén chaos is a function of wave amplitude, plasma β , and the dispersive parameter.…”

Section: Introductionmentioning

confidence: 99%

Alfvén wave filamentation and particle acceleration in solar wind and magnetosphere

2006

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[1] We present numerical simulations of Alfvén waves in steady state, leading to the formation of intense magnetic filaments when the nonlinearity arises due to the ponderomotive effects and Joule heating. When the plain Alfvén wave is perturbed by a transverse perturbation and the magnitude of the pump Alfvén wave changes, chaotic filamentary structures of magnetic field in kinetic Alfvén wave (KAW) filamentation and quasiperiodic in inertial Alfvén wave (IAW) filamentation have been observed. At higher KAW pump wave amplitude, the spectra approaches near the Kolmogorov k À5/3 scaling. The spectral index becomes k À3 scaling in IAW. Relevance of these studies in solar wind and magnetosphere for KAW and solar corona and auroral region for IAW has also been pointed out. Particle heating in these small-scale filamentary structures has also been calculated by using velocity space diffusion coefficient in Fokker-Planck equation.Citation: Sharma, R. P., H. D. Singh, and M. Malik (2006), Alfvén wave filamentation and particle acceleration in solar wind and magnetosphere,

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Intrinsic modulational Alfvénic turbulence

Cited by 10 publications

References 7 publications

Modified Zakharov equations for plasmas with a quantum correction

Modified Zakharov equations for plasmas with a quantum correction

On the chaotic nature of solar‐terrestrial environment: Interplanetary Alfvén intermittency

Alfvén wave filamentation and particle acceleration in solar wind and magnetosphere

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