INCREASE IN CHAOTIC MOTIONS OF ATOMS IN A LARGE-SCALE SELF-ORGANIZED MOTION

Citation
T. Watanabe et H. Kaburaki, INCREASE IN CHAOTIC MOTIONS OF ATOMS IN A LARGE-SCALE SELF-ORGANIZED MOTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1504-1509
Citations number
43
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
2
Year of publication
1996
Pages
1504 - 1509
Database
ISI
SICI code
1063-651X(1996)54:2<1504:IICMOA>2.0.ZU;2-4
Abstract
The macroscopic flow transition between heat conduction and convection in the two-dimensional Rayleigh-Benard system is simulated using the molecular-dynamics method. The heat conduction state, in which motions of atoms are random and a large-scale flow does not appear, is establ ished when the temperature difference between the top and bottom walls is small. It is shown, when the temperature difference is large, that macroscopic convection rolls appear and the trajectories of atoms are along the rolls. The degree of the chaotic motions of atoms is observ ed in terms of the Lyapunov exponent. In the heat conduction state, th e Lyapunov exponent is shown to increase with the average temperature and the temperature difference. It is found that the Lyapunov exponent depends not only on the temperatures but also on the macroscopic flow velocity when the how field shows the convecting state. The chaotic m otions of atoms are shown to increase in the large-scale self-organize d motion.