APPLIED RESEARCH

Self-organization of a microblogging social network to the edge of chaos

Authors

How to cite

GOST Dmitriev A. V. Self-organization of a microblogging social network to the edge of chaos // STROITEL'NYE I DOROZHNYE MASHINY. 2026. Vol. 70. No. 2. P. 181-187.
APA Dmitriev, A. V. (2026). Self-organization of a microblogging social network to the edge of chaos. STROITEL'NYE I DOROZHNYE MASHINY, 70(2), 181-187.

Abstract

Objectives. The purpose of the work is an empirical and theoretical substantiation of the hypothesis that online microblogging social networks can self-organize to the edge of chaos, also known as the edge of a phase transition. Methods. The theoretical substantiation of the hypothesis is based on the construction and analysis of a discrete-time model for a microblogging social network in the form of a sandpile cellular automaton with local Manna rules on a scale-free Chung–Lu random graph. The empirical substantiation is based on the analysis of the spectra of critical power-law exponents using repost activity data from the X microblogging network. Results. The proposed discrete-time model describes with acceptable accuracy the self-organization of the X social network to the edge of chaos, including the edges of first- and second-order phase transitions. Conclusions. A microblogging social network, being an open, dissipative and nonlinear system, self-organizes to the edge of chaos.

Keywords

scale-free graph edge of chaos phase transition sandpile cellular automaton microblogging social network

References

Abid Mahmood Malik H. Complex network formation and analysis of online social media systems // Computer Modeling in Engineering and Sciences. 2021. Vol. 130. Pp. 1737–1750. DOI 10.32604/cmes.2022.018015.

Bosiljka Tadić, Marija Mitrović Dankulov, Roderick Melnik. Mechanisms of self-organized criticality in social processes of knowledge creation // Physical Review E. 2017. Vol. 96. Art. 032307. DOI 10.1103/PhysRevE.96.032307.

Buendía V., di Santo S., Bonachela J., Muñoz M. Feedback mechanisms for self-organization to the edge of a phase transition // Frontiers in Physics. 2020. Vol. 8. Art. 00333. DOI 10.3389/fphy.2020.00333.

Chung F., Lu L. The average distances in random graphs with given expected degrees // Proceedings of the National Academy of Sciences. 2002. Vol. 99. Pp. 15879–15882. DOI 10.1073/pnas.252631999.

di Santo S., Burioni R., Vezzani A., Muñoz M. Self-organized bistability associated with first order phase transitions // Physical Review Letters. 2016. Vol. 116. Art. 240601. DOI 10.1103/PhysRevLett.116.240601.

Dmitriev A., Dmitriev V. Identification of self-organized critical state on Twitter based on the retweets' time series analysis // Complexity. 2021. Vol. 2021. Pp. 1–18. DOI 10.1155/2021/6612785.

Dmitriev A., Dmitriev V., Balybin S. Self-organized criticality on Twitter: phenomenological theory and empirical investigation based on data analysis results // Complexity. 2019. Vol. 2019. Pp. 1–15. DOI 10.1155/2019/8750643.

Dmitriev A., Lebedev A., Kornilov V., Dmitriev V. Self-organization of the stock exchange to the edge of a phase transition: empirical and theoretical studies // Frontiers in Physics. 2025. Vol. 12. Pp. 1–16. DOI 10.3389/fphy.2024.1508465.

Giroire F., Perennes S., Trolliet T. A random growth model with any real or theoretical degree distribution // Theoretical Computer Science. 2023. Vol. 940. Pp. 36–51. DOI 10.1016/j.tcs.2022.10.036.

Jin X., Li J., Zhang L. Online social networks based on complex network theory and simulation analysis // Lecture Notes in Electrical Engineering. 2015. Vol. 355. Pp. 56–64. DOI 10.1007/978-3-319-11104-9_130.

Ma Qing-Kuan. Self-organized criticality in small-world networks based on the social balance dynamics // Chinese Physics Letters. 2011. Vol. 28. Art. 118901. DOI 10.1088/0256-307X/28/11/118901.

Manna S. S. Describing self-organized criticality as a continuous phase transition // Physical Review E. 2025. Vol. 111. Art. 024111. DOI 10.1103/PhysRevE.111.024111.

Manna S. S. Two-state model of self-organized criticality // Journal of Physics A. 1991. Vol. 24. DOI 10.1088/0305-4470/24/7/009.

Otani T., Kame N. Emergence of self-organized criticality and phase transition in the Olami Feder-Christensen model with a single defect // Physical Review E. 2024. Vol. 110. Art. 054129. DOI 10.1103/PhysRevE.110.054129.

Zhukov D. Personality and society in the theory of self-organized criticality // Changing Societies and Personalities. 2023. Vol. 7, no. 2. Art. 229. DOI 10.15826/csp.2023.7.2.229.

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