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  • 1
    Publication Date: 2015-07-08
    Description: The elucidation of the turbulent spectrum in the solar wind region in the dispersive range of scales is not yet completely established. The observational analysis of many spacecrafts report that the fluctuations on the order of (or smaller scales) proton inertial length λ   i  =  c / ω   p i show disparity with respect to the large scale fluctuations. We present a parallel propagating dispersive Alfvén wave that becomes dispersive as a result of the finite frequency of the wave, when subjected to transverse instability can be used to study the steepening in power spectrum around proton inertial length. The transverse density perturbations of acoustic wave can couple nonlinearly with parallel propagating pump and the driven ponderomotive force consecutively leads to growth of perturbations. We have studied the evolution of localized structures with time and the power spectral density when the system reaches quasi steady state. The application of the results in the solar wind turbulence is also discussed.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 2
    Publication Date: 2012-07-04
    Description: This work presents the numerical simulation of the nonlinear evolution of kinetic Alfvén wave (KAW), in a parametric regime consistent with the solar wind plasmas. The nonlinear dynamical equation of KAW satisfies the modified nonlinear Schrödinger equation when incident pump KAW has a small perturbation. Numerical simulation has been done to solve this model equation when the ponderomotive nonlinearity is incorporated in the KAW dynamics. The localization of pump KAW as a consequence of ponderomotive nonlinearity has been studied in the solar wind at 1 AU. A weak whistler signal propagating in these localized structures is amplified and leads to the development of its own localized structures. Magnetic power spectra and spectral indices for KAW at different times are calculated. The magnetic field power spectra and spectral indices of whistler wave at different times are also calculated. The relevance of steepened KAW and whistler spectra to recent solar wind observations is also pointed out. These localized structures and steeper spectra can be responsible for the plasma heating and particles acceleration in solar wind.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 3
    Publication Date: 2019
    Description: Abstract Inverse methods involving compressive sensing are tested in the application of two‐dimensional aperture‐synthesis imaging of radar backscatter from field‐aligned plasma density irregularities in the ionosphere. We consider basis pursuit denoising, implemented with the fast iterative shrinkage thresholding algorithm, and orthogonal matching pursuit (OMP) with a wavelet basis in the evaluation. These methods are compared with two more conventional optimization methods rooted in entropy maximization (MaxENT) and adaptive beamforming (linearly constrained minimum variance or often “Capon's Method.”) Synthetic data corresponding to an extended ionospheric radar target are considered. We find that MaxENT outperforms the other methods in terms of its ability to recover imagery of an extended target with broad dynamic range. Fast iterative shrinkage thresholding algorithm performs reasonably well but does not reproduce the full dynamic range of the target. It is also the most computationally expensive of the methods tested. OMP is very fast computationally but prone to a high degree of clutter in this application. We also point out that the formulation of MaxENT used here is very similar to OMP in some respects, the difference being that the former reconstructs the logarithm of the image rather than the image itself from basis vectors extracted from the observation matrix. MaxENT could in that regard be considered a form of compressive sensing.
    Print ISSN: 0048-6604
    Electronic ISSN: 1944-799X
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 4
    Publication Date: 2011-03-08
    Description: This paper presents the model equations governing the nonlinear interaction between kinetic Alfvén waves and magnetosonic waves in plasmas (having β $\gg$ me/mi). The nonlinear dynamical equation satisfies the modified Zakharov system of equations by taking the nonadiabatic response of the density in the form of a magnetosonic wave. We solved these model equations with numerical simulations and showed that the system becomes turbulent as it evolves. The localized magnetic filamentary structures are found in the solar wind at 1 AU. Magnetic power spectra at different times and spectral indices are calculated. The relevance of the present investigation to recent solar wind turbulence observations by Cluster is pointed out. In the present paper, two types of scaling, k−3.4 and k−3.6, are observed. The chaotic behavior of the localized structures and steeper spectra (of power law k−S, 5/3 ≤ S ≤ 5.3) can be responsible for plasma heating and particle acceleration in solar wind.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 5
    Publication Date: 2014-02-09
    Description: [1]  Solar wind turbulence at large inertial scales is well known for decades and believed to consist of Alfvén cascade. At scales of the order of proton inertial length, Alfvén cascade excites kinetic Alfvén wave, fast wave or whistler wave that carries wave energy to smaller scales. Despite supporting the kinetic Alfvén wave cascade to elucidate the steeper spectra at the kinetic scales we here present another model, the localization of longitudinally propagating dispersive Alfvén wave (DAW) with finite frequency correction to illustrate the same. Inclusion of this finite frequency in Alfvén wave makes them dispersive. In this approach the dynamical equation of the wave in the presence of ponderomotive nonlinearity of the pump is obtained and then solved numerically to study the evolution of the turbulence. The ponderomotive force accounts for the coupling between the DAW and ion acoustic wave (IAW). Taking the adiabatic case, we have first studied the localization of DAW. To have the physical insight of the dynamical system the equation is also studied semi-analytically.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 6
    Publication Date: 2014-10-07
    Description: Graphene oxide (GrO) prepared by the Hummers method was separated into three different fractions (GrO 5000 , GrO 2000 , and GrO res ) on the basis of their dispersion stability in the water. Infrared, nuclear magnetic resonance , X-ray photoelectron spectroscopy , and elemental analyses revealed that GrO 5000 possesses a high degree of oxygen functionalities including phenolic, carboxylic, and −OSO 2 H groups, compared with the other fractions. The GrO 5000 was found to be a highly efficient and reusable solid catalyst for the esterification of various carboxylic acids with a variety of alcohols to furnish corresponding esters in high to excellent yields. The catalytic activity of the GrO 5000 was attributed to the ability of highly polar GrO 5000 scaffold to adsorb/attract reactants, where the acid functionalities of GrO 5000 facilitated the esterification process efficiently. The chemical and structural features of GrO 5000 were discussed to understand the improved catalytic activity compared with GrO 2000 and conventional solid acid catalysts. Copyright © 2014 John Wiley & Sons, Ltd. Graphene oxide (GrO) prepared by the Hummers method was fractionally distributed on the basis of their dispersion stability in water, and then, the catalytic activities of GrO fractions were explored for esterification reaction. The presence of acidic functionalities in GrO along with its excellent dispersibility in reaction media was found to afford high catalytic conversion. The chemical and structural features of GrO have been discussed to understand the catalytic activity.
    Print ISSN: 0894-3230
    Electronic ISSN: 1099-1395
    Topics: Chemistry and Pharmacology , Physics
    Published by Wiley
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  • 7
    Publication Date: 2014-08-27
    Description: ABSTRACT The localization of pump inertial Alfvén wave (IAW) in low β plasmas ( β  ≪  m e /  m i ) has been investigated by developing a model based on weak IAW and finite amplitude background density fluctuations. When IAW is perturbed by these fluctuations which are in the form of magnetosonic and ion acoustic waves, its phase velocity gets modified and IAW breaks up into localized structures of very high intensity. Numerical simulation has been carried out to analyse the localized structures and magnetic fluctuation spectrum of pump IAW. We have also developed a simplified model to understand the physical insight into evolution pattern of IAW. Results obtained from simulation reveal that turbulent spectrum upto k ⊥ λ e  ≈ 1 follows Kolmogorov power law. Furthermore, at shorter wavelengths dispersion starts and spectrum steepens with power law index ∼ − 3.8. Energy transport to smaller lengthscales through this mechanism may be accountable for the observed parallel electron heating in low β plasmas. Results obtained from the numerical simulation are consistent with the observations of various spacecraft like FAST and Hawkeye.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 8
    Publication Date: 2014-12-04
    Description: Density cavities, having transverse scale size of the order of electron inertial length have been observed in auroral ionosphere by Freja spacecraft [ Bellan and Stasiewicz , 1998]. In the present study, density cavity formation in auroral regions has been investigated using numerical simulation techniques. Nonlinear interaction of Inertial Alfvén waves and ion acoustic waves has been suggested as a possible mechanism to apprehend density cavity formation in auroral regions. In the proposed mechanism, strong modification in the density profile takes place due to the ponderomotive force of Inertial Alfvén waves and accounts for these density depleted regions. In literature also, it has been demonstrated that these cavities are associated with the ponderomotive forces of inertial Alfvén wave [ Bellan and Stasiewicz , 1998]. Our presented model also attempts to understand the salient features of auroral density cavities which are reported in literature from the analysis of data available from FAST spacecraft [ Chaston et al .,2007]. Relevance of obtained results with observations in auroral ionosphere has also been discussed.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
    Published by Wiley on behalf of American Geophysical Union (AGU).
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  • 9
    Publication Date: 2015-03-24
    Description: The nonlinear phenomena are of striking importance in understanding the particle acceleration, heating and turbulence in the interplanetary space. Kinetic Alfvén wave (KAW) is one of the strong candidates responsible for accelerating the solar wind and powering the solar wind turbulence. Therefore, the nonlinear properties of KAW are attracting a good attention. In the present work we have investigated the non linear effects associated with KAW in the solar wind plasma at around 1 A.U. The ponderomotive force of (relatively high frequency, high power) pump KAW may be used to excite the low frequency KAW (LKAW) also. For this purpose we have derived the dynamical equations to analyze the nonlinear dynamics of relatively high frequency pump KAW in the presence of LKAW perturbation. The numerical solution has been carried out for the coupled system of equations by using the pseudospectral method for space integration and finite difference method along with the predictor corrector scheme for the evolution in time. The coupled system of nonlinear dynamical equations has been analyzed to study the nonlinear effects associated with pump KAW and the resulting turbulent spectra at 1 A.U.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
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  • 10
    Publication Date: 2014-08-15
    Description: The nonlinear interaction of 3D 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 THEMIS spacecraft in magnetopause.
    Print ISSN: 0148-0227
    Topics: Geosciences , Physics
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