FRACTAL DIMENSION OF STAR CLUSTERS


Ussipov N. Akhmetali A. Zaidyn M. Akniyazova A. Sakan A. Mukhagali K. Bekdaulet S.
2024E.A. Buketov Karaganda University Publish house

Eurasian Physical Technical Journal
2024#21Issue 3108 - 116 pp.

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.

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

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Department of Solid State Physics and Nonlinear Physics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Energetic Cosmos Laboratory, Nazarbayev University, Astana, Kazakhstan
Fesenkov Astrophysical Institute, Almaty, Kazakhstan
Heriot-Watt University, Edinburgh, United Kingdom
Heriot-Watt branch in Kazakhstan, K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan

Department of Solid State Physics and Nonlinear Physics
Energetic Cosmos Laboratory
Fesenkov Astrophysical Institute
Heriot-Watt University
Heriot-Watt branch in Kazakhstan

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