NUMERICAL SIMULATION OF THE PROCESS SCATTERING OF AN INTERSTELLAR CLOUD
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Keywords

random matrices, numerical modeling, mixing and violent relaxation

Abstract

According to the model of the asymptotic product of random matrices [1], the process of forced mixing in nonstationary systems is studied numerically. By selecting physically acceptable transformation matrices – separately rotation and deformation matrices in the two-dimensional case, the mixing process is investigated in the proposal of a random and deterministic character of the stretching velocity of a test interstellar cloud.

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References

Tutubalin V.N., “On limit theorems for the product of random matrices”, Probability Theory and its application., 10:1 (1965), 19-32; Theory Probab. Appl., 10:1 (1965), 15–27

Antonov V.A., Vestnik LGU, (in Russian), №7, 67, 1984

Lynden-Bell D., MN RAS, v.136, pp.101-121, 1967

Binney J., Tremaine S., Galactic Dynamics, Published by Princeton University press, Princeton, NJ USA, 2008

Shamshiev F.T, International Journal of Engineering Mathematics: Theory and Application, V. 4, Issue 1, 2022

Antonov V.A., Shamshiev F.T., Astronomicheskii Zhurnal 69 (5), pp. 971-977, 1992

Antonov V.A., Shamshiev F.T., Astronomy Reports 38 (3), pp. 426-431, 1994