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

Hiroko Koyama; Tetsuro Konishi

doi:10.1103/physreve.73.016213

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

Hiroko Koyama·Tetsuro Konishi

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Abstract

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 wavenumber and power-index is obtained by linear analysis of the collisionless Boltzmann equation, which supports the numerical results.

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Hiroko Koyama, Tetsuro Konishi. 2005-12-13. Formation of fractal structure in many-body systems with attractive power-law potentials. https://doi.org/10.1103/physreve.73.016213

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