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