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1.
K. L. Vithal 《Astrophysics and Space Science》1977,49(2):293-316
A form of general dispersion relation for electromagnetic waves in a fully ionized anisotropic plasma with loss-cone that explicates the contribution of the loss-cone to the dispersion relation is developed. By initially ignoring effects due to anisotropy, it is shown by means of Nyquist diagram technique that an isotropic loss-cone distribution can be unstable to EM waves corresponding to the whistler mode (0<<
e
). The growth rate is then determined analytically for this distribution, assuming cyclotron resonance between the waves in the whistler mode and particles in the high energy tail of the velocity distribution. By including the effects of anisotropy, a general growth rate is obtained which is found to depend on the anisotropy, the size of the loss-cone, the softness of the energy spectrum, and the fraction of the particles which are resonant with the wave. For particular distributions the relative contributions of the anisotropy and of the loss-cone to the growth rate have been determined. It is seen that loss-cone effects, which depend on the size of the loss-cone as well as the softness of the energy spectrum, can be a significant factor in the determination of the growth rate. For the Lorentzian distribution, the half-width of unstable waves is considerably broadened and the growth rates are somewhat more severe as compared to a two-temperature Maxwellian. The threshold frequency is
which confirms the presence of unstable EM waves in the magnetospheric plasma leading to turbulence. 相似文献
2.
A unifield formulation of weak homogeneous turbulence has been developed by introducing Bogoliubov's expansion method, known from the dynamical theory in statistical mechanics. It enables to close the hierarchy of the associated wave-correlation functions as well as to derive dynamical equations which statistically describe the nonlinear interaction of the different modes. The latter modes may have complex frequencies, connected with the linearized problem, corresponding to either stable or unstable modes, although the non-linearity has to be weak. For this model, some general properties such as energy conservation as well as special cases — e.g., resonant three-wave interaction, etc. — are discussed. 相似文献
3.
An extension of the Burgers' equation, which relates a random velocity field and random magnetic field, is treated statistically to study the energy transfer in the nonlinear interactions. 相似文献
4.
Cascade process is found to occur in the three-dimensional incompressible turbulence. 相似文献
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6.
Mengnjo Jude Wirmvem Takeshi Ohba Linus Anye Nche Brice Tchakam Kamtchueng Wiylahnyuy Edith Kongnso Mumbfu Ernestine Mimba Tasin Godlove Bafon Muga Yaguchi Gloria Eneke Takem Wilson Yetoh Fantong Ako Andrew Ako 《Environmental Earth Sciences》2017,76(9):354
High water demand for domestic use in Douala with over 3 million inhabitants is met mainly by shallow groundwater. Field measurements and water sampling in January 2015 were carried out to examine the major controls on the groundwater composition and spatial view of ions in the water, timing of recharge and link between the recharge process and quality of the water. Fifty-two water samples were analysed for major ions and stable hydrogen and oxygen isotopes. Low pH values (3.61–6.92) in the groundwater indicated an acidic aquifer; thus, prone to acidification. The dominant water type was Na–Cl. Nitrate, which exceeded the WHO guide value of 50 mg/l in 22% of the groundwater, poses a health problem. Mass ratios of Cl?/Br? in the water ranged from 54 to 3249 and scattered mostly along the mixing lines between dilute waters, septic-tank effluent and domestic sewage. A majority of the samples, especially the high NO3 ? shallow wells, clustered around the septic-tank effluent-end-member indicating high contamination by seepage from pit latrines; hence, vulnerable to pollution. Stable isotopes in the groundwater indicated its meteoric origin and rapid infiltration after rainfall. The δ18O values showed narrow ranges and overlaps in rivers, springs, open wells and boreholes. These observations depict hydraulic connectivity, good water mixing and a homogeneous aquifer system mainly receiving local direct uniform areal recharge from rainfall. The rapid and diffused recharge favours the leaching of effluent from the pit toilets into the aquifer; hence, the high NO3 ? and Cl? in shallow wells. Silicate weathering, ion exchange and leaching of waste from pit toilets are the dominant controls on the groundwater chemistry. Drilling of deep boreholes is highly recommended for good-quality water supply. However, due the hydraulic connection to the shallow aquifer, geochemical modelling of future effects of such an exploitation of the deeper aquifer should support groundwater management and be ahead of the field actions. 相似文献
7.
In the solar wind, electrostatic ion cyclotron waves can be excited, by electrons or ions when the flow velocity becomes supersonic. The instability of these waves is investigated for a situation in which ions are streaming in opposite directions along the interplanetary magnetic field in a uniform background of relatively stationary electrons. Many modes become unstable under the existing conditions. It is conjectured that the excitation of this instability may lead to a steady state electrostatic turbulence in the solar wind. 相似文献
8.
K. L. Vithal 《Astrophysics and Space Science》1977,49(2):317-330
Growth rates for both the RH- and LH-modes of an EM wave propagating along a magnetic field through an isotropic loss-cone plasma have been obtained. It is found that growing modes can exist, and are found to depend critically on the mirror ratioR, and the specific details of the distribution function of the energetic component. To study the energetic-particle distribution observed at low energies by satellites within the magnetosphere, an isotropic double-humped loss-cone velocity distribution is then studied with a view to determining whether the secondary hump can introduce an instability not present for monotonic distribution. It is found that such a distribution can be unstable in a mirror geometry if the energetic component is sufficiently monoenergetic. Within the magnetosphere, nearly monoenergetic fluxes are observed, peaking in the energy range 1–10 keV, depending on the McIlwain parameterL. It is possible that the initial injection of monoenergetic particles may have been much more sharply peaked than the one presently observed, and, as a result of wave-particle interactions, subsequently relaxed to the presently observed distribution. It is seen here that the EM waves within the magnetosphere can contribute to the relaxation of such an initial injection. 相似文献
9.
Resistivity inverse problems are routinely solved in order to characterize hydrocarbon bearing formations. They often require a large number of forward problems simulations. When considering a one dimensional (1D) planarly layered media, semi-analytical methods can be employed in order to solve a single forward problem in a fraction of a second. However, in some situations, a large number of (over one million) simulations is required, preventing this method to be used as a real time (logging) alternative. In this paper, we propose a novel semi-analytical method that dramatically reduces the total computational time, so it can be employed for real time inversion. In our proposed method, we select an ad hoc basis representation for the spectral solution such that its inverse Hankel transform can be computed analytically. The proposed method requires a pre-process that is expensive when compared with a single evaluation in classical semi-analytical methods. However, subsequent evaluations can be rapidly obtained, decreasing thus the total computational time by orders of magnitude when the number of required forward simulations is large. 相似文献
10.
A statistical framework of weak turbulence is applied to investigate the maintenance of atmospheric turbulence during a long period, even after the external energy supply from solar radiations has stopped. Thus, the problem of hydrodynamical turbulence without any mean motion is dealt with. Main attention is drawn to one-dimensional Burgers equation, together with a discussion devoted mainly to Millionshtchikov's hypothesis, which may be applied as a consequence of the assumed weak turbulence. Remarkably, this leads to an explicit proof of the existence of the cascade process in turbulence. The results are illustrated by numerical calculations.On study leave from the Department of Physics, M.S. College, Subaranpur, U.P., India. 相似文献