Nonlinear Interaction of 3D Kinetic Alfvén Waves and Ion Acoustic Waves in Solar Wind Plasmas

Yadav, Nitin; Sharma, R. P.

doi:10.1007/s11207-013-0436-z

Cited by 20 publications

(11 citation statements)

References 19 publications

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“…Such modes have ability to trap and transport particles in a magnetized plasma. When solar wind excites the 3D kinetic Alfv en wave (KAW), the wave grows as modulational instability 28 in the form of a vortex beam, which confirms the presence of OAM of wave eigen modes.…”

Section: Introductionmentioning

confidence: 80%

Kinetic study of ion acoustic twisted waves with kappa distributed electrons

2016

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The kinetic theory of Landau damping of ion acoustic twisted modes is developed in the presence of orbital angular momentum of the helical (twisted) electric field in plasmas with kappa distributed electrons and Maxwellian ions. The perturbed distribution function and helical electric field are considered to be decomposed by Laguerre-Gaussian mode function defined in cylindrical geometry. The Vlasov-Poisson equation is obtained and solved analytically to obtain the weak damping rates of the ion acoustic twisted waves in a non-thermal plasma. The strong damping effects of ion acoustic twisted waves at low values of temperature ratio of electrons and ions are also obtained by using exact numerical method and illustrated graphically, where the weak damping wave theory fails to explain the phenomenon properly. The obtained results of Landau damping rates of the twisted ion acoustic wave are discussed at different values of azimuthal wave number and non-thermal parameter kappa for electrons.

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Section: Introductionmentioning

confidence: 80%

Kinetic study of ion acoustic twisted waves with kappa distributed electrons

2016

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“…The three‐dimensional propagation of KAW in the background magnetic field

{\overset{true\to}{B}}_{0} = B_{0} \overset{z}{true}

is guided by a nonlinear dynamical equation, which can be obtained using continuity equation and momentum equation along with the assumptions

{\vec{B}}_{⊥} = \nabla {\tilde{A}}_{z} \times \overset{z}{true}

and

\overset{E}{true} = - \vec{\nabla} φ - \frac{1}{c} \frac{\partial {\overset{true\to}{A}}_{z}}{\partial t}

as follows [ Shukla , ; Yadav and Sharma , ]:

([], \frac{\partial^{2}}{\partial t^{2}} + v_{A}^{2} ρ_{s}^{2} \frac{\partial^{2} \nabla_{⊥}^{2}}{\partial z^{2}} - {λ_{i}}^{2} \frac{\partial^{2}}{\partial z^{2}} \frac{\partial^{2}}{\partial t^{2}} - v_{A}^{2} ((), 1 - \frac{n}{n_{0}}) \frac{\partial^{2}}{\partial z^{2}}) {\tilde{A}}_{z} = 0

Here n 0 is the background density, n is the variation in number density due to fluctuations associated with fast magnetosonic wave,

v_{A} = \sqrt{\frac{B_{0}^{2}}{4 π n_{0} m_{i}}}

is the Alfvén speed,

λ_{i} = \sqrt{\frac{c^{2} m_{i}}{4 π n_{0} e^{2}}}

is the collisionless ion skin depth,

ρ_{s} = \frac{c_{s}}{ω_{c i}}

is the ion acoustic gyroradius,

ω_{c i} = \frac{e B_{0}}{m_{i} c}

is the ion gyrofrequency,

…”

Section: Dynamics Of 3‐d Kawmentioning

confidence: 99%

“…In the present paper, we have examined the nonlinear interaction of three dimensionally propagating KAW with fast magnetosonic wave taking into account the ponderomotive nonlinearity, which appears in the fast magnetosonic wave dynamics due to 3‐D KAW. To study the interaction among these two waves, we have established the set of dimensionless equations governing the behavior of KAW and fast magnetosonic wave while in Yadav and Sharma [] authors have studied the solar wind turbulence. Waves involved in this paper were 3‐D KAW and ion acoustic wave, and it was limited to steady state models.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear interaction of 3‐D kinetic Alfvén wave and fast magnetosonic wave

2014

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The nonlinear interaction of 3-D kinetic Alfvén wave and fast magnetosonic wave for the intermediate-β plasma in magnetopause has been considered in the present study. A set of dimensionless equations has been derived taking ponderomotive nonlinearity into account due to kinetic Alfvén wave in the fast magnetosonic wave dynamics. In order to analyze the nonlinear coupling of fast magnetosonic wave and kinetic Alfvén wave and also to study its effect on the turbulent power spectrum, we have numerically solved these coupled equations using pseudo-spectral method of simulation. The results show the appearance of localized structures of kinetic Alfvén wave, which may be accountable for the heating and acceleration of plasma. The obtained results are consistent with the recent observations by Time History of Events and Macroscale Interactions during Substorms spacecraft in magnetopause.

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“…As studied by Yadav and Sharma, [2013], the density gets modified by the ponderomotive force of KAW in intermediate β plasma and can be written as By incorporating this solution in equation (17), it can be separated into real and imaginary parts as follows…”

Section: Model Equation Of 3d Kawmentioning

confidence: 99%

“…Using the basic equations mentioned below and following the standard procedure as followed by Shukla [2012], we will derive the dynamical equation for KAW. The nonlinear interaction between a 3D kinetic Alfvén wave (KAW) and an ion acoustic wave (IAW) has been studied [Yadav and Sharma, 2013] where they have derived the dynamical equation governing the KAW and IAW propagation in solar wind plasmas. In the present case we will derive the dynamical equation of KAW taking the ion temperature to be finite to study the interaction of weak whistler signal in the localized structures of KAW.…”

Section: Kinetic Alfven Wave Dynamicsmentioning

confidence: 99%

Nonlinear interaction of 3D kinetic Alfvén wave and whistler wave in solar wind plasmas

Sharma

Gaur

2014

JGR Space Physics

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In the present work, the nonlinear evolution of 3D kinetic Alfvén wave (KAW) has been investigated in solar wind plasmas. By taking the adiabatic response of background density the nonlinearity arises because of ponderomotive effects. The dynamical equations governing the dynamics of 3D KAW and whistler are obtained. We have performed the numerical simulation using pseudospectral method to study the evolution of the nonlinear localized structures of KAW in the solar wind at 1 AU. The interaction between 3D KAW and the amplification of weak whistler signal propagating in the localized structures of KAW has also been studied semi-analytically to have an insight of the localization process. The relevance of the present work to the solar wind turbulence is discussed.

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Nonlinear Interaction of 3D Kinetic Alfvén Waves and Ion Acoustic Waves in Solar Wind Plasmas

Cited by 20 publications

References 19 publications

Kinetic study of ion acoustic twisted waves with kappa distributed electrons

Kinetic study of ion acoustic twisted waves with kappa distributed electrons

Nonlinear interaction of 3‐D kinetic Alfvén wave and fast magnetosonic wave

Nonlinear interaction of 3D kinetic Alfvén wave and whistler wave in solar wind plasmas

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