2005/12/13 by Hiroko Koyama, Tetsuro Konishi
Mathematics · Physics and Astronomy · #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #nlin.CD #nlin.PS
paper · pdf · doi:10.1103/physreve.73.016213
accepted by PRE
arxiv created 2005/12/13 · openalex publication_date 2006/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the formation of fractal structure in one-dimensional many-body systems with attractive power-law potentials. Numerical analysis shows that the range of the index of the power for which fractal structure emerges is limited. Dependence of the growth rate on wave number and power-index is obtained by linear analysis of the collisionless Boltzmann equation, which supports the numerical results.