FRACTAL DIMENSION OF STAR CLUSTERS

N. Ussipov; A. Akhmetali; M. Zaidyn; A. Akniyazova; A. Sakan; M. Kalambay; B. Shukirgaliyev

doi:10.31489/2024No3/108-116

Authors

DOI:

https://doi.org/10.31489/2024No3/108-116

Keywords:

Star cluster, Fractal dimension, Box-covering, Star formation effiency

Abstract

Quantitative analysis of the structure of star clusters is crucial for understanding their formation and evolution. In this article, we explore the application of fractal dimension analysis to study the evolution of star clusters, also fractal dimension, a concept from fractal geometry, provides a quantitative measure of the complexity and self-similarity of geometric objects. By considering star clusters as complex networks, we employ the box covering method to calculate their fractal dimension. Our methodology combines the well-established Minimum Spanning Tree (MST) and Box-Covering (BC) methods and using these methods, the fractal structure of the clusters was determined. It was revealed that star clusters disintegrate at a fractal dimension of 1.3 and obey a power law. It should be noted that the obtained result was compared with the results of the McLuster.

Author's detail

N. Ussipov

Ussipov, Nurzhan – Senior Lecturer, Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan; Scopus Author ID: 57226319348; ORCID: 0000-0002-2512-3280; ussipov.nurzhan@kaznu.kz

A. Akhmetali

Akhmetali, Almat – Bachelor (Sci.), Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan; Scopus Author ID: 58759186800; ORCID: 0009-0005-7254-524X; akhmetalialmat @gmail.com

M. Zaidyn

Zaidyn, Marat – Student, Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan, Scopus Author ID: 59194267200; ORCID: 0009-0006-8505-7277; zaidyn_marat@live.kaznu.kz

A. Akniyazova

Akniyazova, Aigerim – Master (Sci.), Lecturer, Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan; ORCID: 0000-0002-9185-3185; aigerimakniyazova@gmail.com

A. Sakan

Sakan, Aknur – Bachelor of natural sciences, Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan; ORCID: 0009-0001-8784-4470 ; aknursakan47@gmail.com

M. Kalambay

Mukhagali, Kalambay – PhD, Senior Lecturer, Heriot-Watt branch in Kazakhstan, K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan; Scopus Author ID: 57224666055; ORCID:0000-0002-0570-7270; mukhagaly@gmail.com

B. Shukirgaliyev

Bekdaulet, Shukirgaliyev – PhD, Associate Professor, Heriot-Watt branch in Kazakhstan, K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan; Scopus Author ID: 57163629900; ORCID: 0000-0002-4601-7065; b.shukirgaliyev@hw.ac.uk

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FRACTAL DIMENSION OF STAR CLUSTERS