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

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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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Pattern Formation and Solitons, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/106452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0512027
 http://arxiv.org/abs/nlin/0512027
 doi:10.1103/PhysRevE.73.016213

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arXiv