A Possibility of Reveal of Parent Populations for the Objects by Active Nuclei on the Basis of Comparing their Spatial Correlation Functions

Symposium - International Astronomical Union ◽

10.1017/s0074180900176831 ◽

1994 ◽

Vol 159 ◽

pp. 512-512

Author(s):

B.V. Romberg ◽

A.V. Kravtsov

Keyword(s):

Correlation Function ◽

Spatial Correlation ◽

Correlation Functions ◽

Seyfert Galaxies ◽

Spatial Correlation Function ◽

The World

For a model of the World with q0 = 0.5 and H0 = 100h−1 there was received a 2-point spatial correlation function (CF) (The sample of 300 objects with z < 0.045 and δ > 0 was used) for Seyfert Galaxies with the following parameters: r0 = (9 ± 2)h−1Mpc, γ = –(1.7 ± 0.2).

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Spatial Correlation Functions of Bright Radio Galaxies

Symposium - International Astronomical Union ◽

10.1017/s0074180900137076 ◽

1988 ◽

Vol 130 ◽

pp. 580-580 ◽

Cited By ~ 1

Author(s):

You-yuan Zhou ◽

Yi-peng Jing

Keyword(s):

Correlation Function ◽

Spatial Correlation ◽

Correlation Functions ◽

Radio Galaxies ◽

Radio Sources ◽

Spatial Correlation Function ◽

Extragalactic Radio Sources ◽

Large Separation ◽

The Universe

Because of their large separation bright radio galaxies characterize the structure of the universe on the scales of clusters and superclusters. In order to calculate the spatial correlation function we choose radio galaxies in radio surveys, for which the redshift values have been measured. One is from Bright Radio Sources at 178 MHz (Liang, Riley and Longair 1983), and another is from All-Sky Catalogue of Bright Extragalactic Radio Sources at 2.7 GHz (Wall and Peacock 1985).

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On the three-dimensional spatial correlations of curved dislocation systems

Materials Theory ◽

10.1186/s41313-020-00026-w ◽

2021 ◽

Vol 5 (1) ◽

Author(s):

Joseph Pierre Anderson ◽

Anter El-Azab

Keyword(s):

Correlation Function ◽

Slip System ◽

Correlation Functions ◽

Mean Field ◽

Coarse Graining ◽

Dislocation Dynamics ◽

Coarse Grained ◽

Spatial Correlation Function ◽

Line System ◽

Dislocation Densities

AbstractCoarse-grained descriptions of dislocation motion in crystalline metals inherently represent a loss of information regarding dislocation-dislocation interactions. In the present work, we consider a coarse-graining framework capable of re-capturing these interactions by means of the dislocation-dislocation correlation functions. The framework depends on a convolution length to define slip-system-specific dislocation densities. Following a statistical definition of this coarse-graining process, we define a spatial correlation function which will allow the arrangement of the discrete line system at two points—and thus the strength of their interactions at short range—to be recaptured into a mean field description of dislocation dynamics. Through a statistical homogeneity argument, we present a method of evaluating this correlation function from discrete dislocation dynamics simulations. Finally, results of this evaluation are shown in the form of the correlation of dislocation densities on the same slip-system. These correlation functions are seen to depend weakly on plastic strain, and in turn, the dislocation density, but are seen to depend strongly on the convolution length. Implications of these correlation functions in regard to continuum dislocation dynamics as well as future directions of investigation are also discussed.

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