Formation of Multiple Counter-propagating Clusters in the Attractive Hamiltonian Mean-field Model

Danilo M. Rivera; Roberto E. Navarro

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arXiv · 2212.09608

Formation of Multiple Counter-propagating Clusters in the Attractive Hamiltonian Mean-field Model

Danilo M. Rivera·Roberto E. Navarro

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Abstract

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single non-homogeneous core-halo in the phase-space of the particles. By using particle simulations based on the Hamiltonian mean-field model, we show that this model supports stationary states with multiple cluster or particle holes in phase-space density. We also propose a mechanism based on wave-wave and wave-particle interactions that lead to the formation of these clusters, and characterize these new quasi-stationary states in terms of the initial parameters of the simulations.

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Danilo M. Rivera, Roberto E. Navarro. 2022-12-19. Formation of Multiple Counter-propagating Clusters in the Attractive Hamiltonian Mean-field Model. https://arxiv.org/abs/2212.09608

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