Abstract
The article discusses modern theories of the melting of two-dimensional systems based mainly on the concepts of the Berezinskii–Kosterlitz–Thouless (BKT) theory of phase transitions in two-dimensional systems with continuous symmetries. The article provides a critical analysis of the approaches used to determine the parameters and type of transition using computer simulation methods. The methods are used to consider the melting in a system of soft disks with potential \( \propto 1/{{r}^{{12}}}\).
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Funding
This work was supported by the Russian Science Foundation, project no. 19-12-00092 (https://rscf.ru/project/19-12-00092/).
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Translated by G. Dedkov
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Ryzhov, V.N., Gaiduk, E.A., Fomin, Y.D. et al. Self-Organization of Two-Dimensional Systems: The Role of Translational and Orientational Order Parameters. Phys. Part. Nuclei Lett. 20, 1124–1127 (2023). https://doi.org/10.1134/S1547477123050667
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DOI: https://doi.org/10.1134/S1547477123050667