Hierarchical clustering and formation of a power law correlation in a one-dimensional self-gravitating system

2000/08/31 by Hiroko Koyama, H. Koyama, Tetsuro Konishi · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #astro-ph #nlin.CD

paper · pdf · doi:10.1209/epl/i2002-00646-4

published as Europhys.Lett. 58 (2002) 356-361 · 9pages,4figures

arxiv created 2000/08/31 · openalex publication_date 2002/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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.

Citations

• The Fractal Geometry of Nature

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• Formation of fractal structure in many-body systems with attractive power-law potentials

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