Numerical Modeling of Material Points Evolution in a System with Gravity / Melkikh A. V.,Melkikh E. A.,Kozhevnikov V. A. // COMMUNICATIONS IN COMPUTATIONAL PHYSICS. - 2017. - V. 21, l. 4. - P. 1118-1140.

ISSN/EISSN:

1815-2406 / 1991-7120

Type:

Article

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.

Author keywords:

Systems with gravitation; Lyapunov exponent; material points; velocity distribution function DYNAMICS; SIMULATION; MOLECULES; CHAOS

DOI:

10.4208/cicp.OA-2015-0004

Web of Science ID:

ISI:000396812700009

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	GLOBAL SCIENCE PRESS
Address	ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA
Language	English
EISSN	1991-7120
Keywords-Plus	DYNAMICS; SIMULATION; MOLECULES; CHAOS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Mathematical
Author-Email	melkikh2008@rambler.ru katsyarynka@ya.ru vit.kozh@gmail.com
Funding-Acknowledgement	Act 211 Government of the Russian Federation {[}02.A03.21.0006]; Russian Foundation for Basic Researched (RFBR) {[}16-31-00274]
Funding-Text	This work was partially supported by Act 211 Government of the Russian Federation, agreement No 02.A03.21.0006 and by the Russian Foundation for Basic Researched (RFBR) under Grant No. 16-31-00274.
Number-of-Cited-References	20
Journal-ISO	Commun. Comput. Phys.
Doc-Delivery-Number	EO6OP