Modelagem da equação não-linear de Fokker-Planck para análise das séries temporais de raios-x oriundas de sistemas binários utilizando o método de Adomian

Abstract

The evolution of artificial satellites has provided the existence of on-board astronomical equipment, for example, specific observatories in thin spectroscopic bands, for example in the X-ray spectrum, in order to be able to observe with more precision astrophysical objects, such as the so-called systems X-ray binaries, which are astronomical objects, gravitational facades are long-range and are part of self gravitating systems (SGS). In these, a conventional thermostatistics of Boltzman and Gibbs is not suitable for the measurement of physical parameters, due to its additive character, being suggested the thermostatistic formalism of Tsallis. In this scenario, the general objective of the research is to legitimize the X-ray diffusion model through the modeling of the Fokker-Planck equation, adopting the iterative and analytical method of George Adomian, using as boundary conditions hypotheses based on the spectral series of X-rays from binary astrophysical stellar systems; and, as specific objectives: a) Characterize the fractality of X-ray scattering in XRBSs; b) Model the X-ray scattering in regions neighboring the XRBSs; and, c) Analytically solve the Fokker-Planck equation using the Adomian method. To consolidate these objectives, a methodology based on a literature review, documental, historical was adopted with modeling of such systems using the nonlinear Fokker-Planck equation and its iterative and analytical solution with the Adomian method and with the use of boundary conditions to data collected from the Rossi Satellite (X-ray). Some results are important and fit the 156 X-ray intensity distributions coming from the XRBS with long tail distributions profile (tsallian q-Gaussian) with coefficient values (q) that corroborate the characteristics of the Tsallis thermostatistics as well as the scope of the memory effect associated with the strong correlation with the existence of fractal properties in the diffusive process. It is possible and recommended to expand to similar researches in other XRBSs as a means to generalize the characteristics of X ray scattering and also electromagnetic waves of other frequencies, originating from similar astronomical objects.