Volume 58, Number 3, May 2002
|Page(s)||356 - 361|
|Published online||01 August 2002|
Hierarchical clustering and formation of a power law correlation in a one-dimensional self-gravitating system
Department of Physics, School of Science,
Nagoya University 464-8602, Nagoya, Japan
Accepted: 1 February 2002
The process of formation of a power law correlation structure in a one-dimensional self-gravitating system is examined numerically. It is clarified that structures created in small spatial scale grow up to larger scale through clustering of clusters, and form a power law correlation. With the help of the Lyapunov vector, the relation between the instability in small spatial scale and the particle-like (non-fluid) behavior of the system is discussed.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.