2011
DOI: 10.1088/1674-4527/11/9/003
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Fractal dimension and thermodynamic fluctuation properties of IDV light curves

Abstract: Fractals are a basic tool to phenomenologically describe natural objects having a high degree of temporal or spatial variability. From a physical point of view the fractal properties of natural systems can also be interpreted by using the standard formalism of thermodynamical fluctuations. In the present paper we introduce and analyze the fractal dimension of the Intra -Day-Variability (IDV) light-curves of the BL Lac objects, in the optical, radio and X-ray bands, respectively. A general description of the fl… Show more

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Cited by 9 publications
(11 citation statements)
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“…Firstly, we introduce the definition of Hausdorff fractal dimension and Divider fractal dimension [6][7] . Hausdorff fractal dimension: the basic process is to coverage fractal body by hypercube which length of a side is equal to and dimension is equal to the dimension of fractal topology (there are a lot of coverage units, here called them as hypercube).…”
Section: B Fractal and Fractal Dimensionmentioning
confidence: 99%
“…Firstly, we introduce the definition of Hausdorff fractal dimension and Divider fractal dimension [6][7] . Hausdorff fractal dimension: the basic process is to coverage fractal body by hypercube which length of a side is equal to and dimension is equal to the dimension of fractal topology (there are a lot of coverage units, here called them as hypercube).…”
Section: B Fractal and Fractal Dimensionmentioning
confidence: 99%
“…Table 2: Fits for the rms-magnitude relation for optical variability. Details may be found in [27] for the first group, [26] for the second group, [5] for the third group and [20] As an example for the fits, the light curve for the B 2454826 data ( Fig. 3) and its rms-magnitude spread (Fig.…”
Section: Just Optical Datamentioning
confidence: 99%
“…In an astrophysical context, there is overwhelming observational evidence that the plasma emitting the recorded radiation is influenced by some stochastic component in its medium (for discussion of observational data and methods that lead to this conclusion for, e.g., accretion disks around supermassive black holes see Azarnia et al (2005); Carini et al (2011); Leung et al (2011); Harko et al (2014)). As this plasma moves, it emits radiation, which is our only source of information for diagnosis of the emitting system; we find it appropriate to describe this complicated framework by instantaneous quantities, such as the instantaneous diffusion coefficient.…”
Section: Introductionmentioning
confidence: 99%