Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102145
Title: Numerical Modeling of Material Points Evolution in a System with Gravity
Authors: Melkikh, A. V.
Melkikh, E. A.
Kozhevnikov, V. A.
Issue Date: 2017
Publisher: Cambridge University Press
Citation: Melkikh A. V. Numerical Modeling of Material Points Evolution in a System with Gravity / A. V. Melkikh, E. A. Melkikh, V. A. Kozhevnikov. — DOI 10.4208/cicp.OA-2015-0004 // Communications in Computational Physics. — 2017. — Vol. 21. — Iss. 4. — P. 1118-1140.
Abstract: The evolution of material points interacting via gravitational force in 3D space was investigated. At initial moment points with masses of 2.48 Sun masses are randomly distributed inside a cube with an edge of 5 light-years. The modeling was conducted at different initial distributions of velocities and different ratios between potential and kinetic energy of the points. As a result of modeling the time dependence of velocity distribution function of points was obtained. Dependence of particles fraction which had evaporated frominitial cluster on time for different initial conditions is obtained. In particular, it was obtained that the fraction of evaporated particles varies between 0,45 and 0,63. Mutual diffusion of two classes of particles at different initial conditions in the case when at initial moment of time both classes of particles occupy equal parts of cube was investigated. The maximum Lyapunov exponent of the system with different initial conditions was calculated. The obtained value weakly depends on the ratio between initial kinetic and potential energies and amounts approximately 10-5. Corresponding time of the particle trajectories divergence turned out to be 40-50 thousand years. © 2017 Global-Science Press.
Keywords: LYAPUNOV EXPONENT
MATERIAL POINTS
SYSTEMS WITH GRAVITATION
VELOCITY DISTRIBUTION FUNCTION
URI: http://hdl.handle.net/10995/102145
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85014816927
PURE ID: 1692239
60a76e0d-0881-4681-9cfc-49cf25d3d5d9
ISSN: 18152406
DOI: 10.4208/cicp.OA-2015-0004
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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