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Simulation of the Structure of Dust Fractal Clusters in Protoplanetary Gas–Dust Disks

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Abstract—

Modern models of the formation of planetary systems, built taking into account the available data on gas and dust protoplanetary disks, include ever more sophisticated methods of computer modeling of various processes, among which an important role belongs to the study of the interaction of dust particles in the disk, occurring on scales from fractions of a millimeter to tens or more centimeters. The important initial conditions for their description are the parameters of the distribution of particles by composition and size. One of the urgent problems is the construction of models of dust clusters formed in protoplanetary disks, taking into account the existing cosmochemical and physical limitations. In this work, our main focus is on the methodological issues of modeling the internal structure of dusty fractal clusters on the basis of theoretical approaches in which the previously proposed effective method of permeable particles is used. An approach has been implemented that can take into account the polydispersity and heterogeneity of the composition of the solid-state component of the protoplanetary disk. This technique uses the following input parameters of the model: ranges of the initial particle size distribution, fractal dimension of the clusters formed, mass fractions of ice and refractory particles. The author has developed software for the numerical implementation of the corresponding model problems.

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ACKNOWLEDGMENTS

The author is grateful to Academician M.Ya. Marov for scientific guidance of work on planetary cosmogony, within the framework of which research on the problems of simulation of fractal dust clusters was carried out, and for a discussion of the results. The author is grateful to A.B. Makalkin for fruitful discussions of the evolution of the solid-state component in protoplanetary disks and suggestions that significantly improved this article. The author is grateful to the reviewers for their valuable comments and suggestions, which improved the content of the article.

Funding

The author is grateful to the Government of the Russian Federation and the Ministries of Science and Higher Education of the Russian Federation for their support of this work under the grant 075-15-2020-780 (N13.1902.21.0039). Part of the calculations related to the study of processes in the early Solar System, was carried out in accordance with the plans for fundamental research determined by the state task of the Vernadsky Institute of Geochemistry and Analytical Chemistry, RAS.

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    A. V. Rusol

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Rusol, A.V. Simulation of the Structure of Dust Fractal Clusters in Protoplanetary Gas–Dust Disks. Sol Syst Res 55, 227–237 (2021). https://doi.org/10.1134/S0038094621030060

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