On an oscillating model of PC-1 geomagnetic pulsations and on some properties of this process

Physics

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Atmospheric Models, Geomagnetic Micropulsations, Plasma Oscillations, Wave Packets, Differential Equations, Plasma Frequencies, Wave Attenuation

Scientific paper

A model of the generation of discrete wave packets of the PC-1 type is described on the basis of solving a differential equation of the second order with a non-linear coefficient, equal to the growth rate times x(t), in the term dy/dt. The function x(t = 0) = 1. At the initial stage of the process the oscillating system has a positive growth rate of oscillations. Then, decreasing monotonically, x(t) passes through zero and, reversing the sign: x(t) goes to -1; that is, it becomes the attenuation factor. With the adequate choice of growth rate and x(t) the theoretical and experimental signals of PC-1 closely coincide - both the envelope of the signal and the main features of its frequency spectrum are described well. It is shown that there is quantitative agreement between both signals for the growth rate of the magnetoplasma under the condition of the presence of hot protons anisotropic in temperature. The growth rate used determines the temperature ratio and the concentration of the proton beam with given values of the superimposed magnetic field temperature rate and the concentration of the magnetnoplasma.

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