Issue |
Europhys. Lett.
Volume 58, Number 3, May 2002
|
|
---|---|---|
Page(s) | 356 - 361 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2002-00646-4 | |
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
Received:
3
September
2001
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
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