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

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

2005-12-13

arxiv.org/abs/nlin/0512027v1

Nonlinear Sciences

Pattern Formation and Solitons

accepted by PRE

Scientific paper

10.1103/PhysRevE.73.016213

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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