Formation of fractal structure in many-body systems with attractive power-law potentials
arXiv:nlin/0512027 · doi:10.1103/PhysRevE.73.016213
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.
accepted by PRE
References in corpus (5)
- Violation of ensemble equivalence in the antiferromagnetic mean-field XY model
- Emergence of power-law correlation in 1-dimensional self-gravitating system
- Clustering in a model with repulsive long-range interactions
- Hierarchical clustering and formation of power-law correlation in 1-dimensional self-gravitating system
- Long-time behavior and relaxation of power-law correlation in one-dimensional self-gravitating system