Open AccessDynamics and statistics in few-body hard-ball systems
Author(s) -
Weijie Fu,
Hou Xi-Miao,
Limin He,
Zheng Zhi-Gang
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.2552
Subject(s) - mean squared displacement , ball (mathematics) , brownian motion , physics , radius , statistical physics , square (algebra) , distribution function , mean square , mechanics , classical mechanics , mathematical analysis , geometry , mathematics , molecular dynamics , thermodynamics , computer science , computer security , quantum mechanics
The dynamic and statistical properties of several hard balls restricted in a box are studied.The collision distribution in configuration space is main object of the research. Numerical simulations indicate that the distribution function is uniform (horizontal line) when the radius of balls is very small. This uniform p art decreases with increasing size of the balls, and a double-peak distribution is found when the radius exceeds a critical value. Brownian motion is simulated by using hard-ball systems. It can be found that the mean square displacement is proportional to the square of time, i.e., the transport process is dominated by ballistic transport, rather than a diffusion behavior.