@Article{CiCP-21-1118,
author = {A. V. Melkikh, E. A. Melkikh and V. A. Kozhevnikov},
title = {Numerical Modeling of Material Points Evolution in a System with Gravity},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {4},
pages = {1118--1140},
abstract = {<p style="text-align: justify;">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 from initial 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.<br/>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.<br/>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<sup>−5</sup>. Corresponding time of the
particle trajectories divergence turned out to be 40-50 thousand years.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2015-0004},
url = {http://global-sci.org/intro/article_detail/cicp/11273.html}
}