Uma origem multifractal para a turbulência no meio interestelar
In recent years studies on complex systems have been gaining strength and tools to be able to simulate and verify their behavior statistically.Much of this is due to many systems that have come to behave in a nonlinear and dissipative way.For these cases conventional geometries such as Euclidean...
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| Formato: | Dissertação |
| Idioma: | por |
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Brasil
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/24734 |
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| Resumo: | In recent years studies on complex systems have been gaining strength and tools to be able to
simulate and verify their behavior statistically.Much of this is due to many systems that have
come to behave in a nonlinear and dissipative way.For these cases conventional geometries such
as Euclidean is not possible for the prowess of explaining it, with this the geometry of the fractals
emerged as an important alternative for the treatment of this medium,being laws of scales
(power) applying very well for this system being exemplified in the form of time series and
surfaces (two-dimensional and three-dimensional geometries).Thus a variety of methods were
counted for this treatment, among them are the analysis via exponent of Hurst and multifractal
analysis.Our work aims to propose a new method to analyze two-dimensional images multifractally,
being these images coming from clouds simulations of the interstellar medium.First
step was to generate 12 MHD simulations in which they differed from values of pressure and
magnetic field, then generated the 2D image that is applied on them the multifractal MFDMA
treatment method.With the application of this method it is possible to evaluate the images through
a frame containing the exponents of multifractal analysis, being possible to evaluate the
scale behavior in the images and verify the degree of complexity, and to find out which sources
cause multifractality,using two methods of multifractal analysis that are shuffling the original
image data and replacing the original data from the Fourier transform.The results show that for
all images the shuffling method can destroy the multifractal source of the original image and
still behave like a monofractal,While the other method is ineffective, concluding that nonlinear
factors are not included among the sources and indicating as a source of multifractality the
long-range correlations. Other important results are the relation of degree of multifractity ∆h
with pressure, sonic number of Mach and number of Alfvén. |
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