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One-Particle and Few-Particle Billiards | | Steven Lansel
; Mason A. Porter
; Leonid A. Bunimovich
; | | Date: |
30 Aug 2005 | | Abstract: | We study the dynamics of one-particle and few-particle billiard systems in containers of various shapes. In few-particle systems, the particles collide elastically both against the boundary and against each other. In the one-particle case, we investigate the formation and destruction of resonance islands in (generalized) mushroom billiards, which are a recently discovered class of Hamiltonian systems with mixed regular-chaotic dynamics. In the few-particle case, we compare the dynamics in container geometries whose counterpart one-particle billiards are integrable, chaotic, and mixed. One of our findings is that two-, three-, and four-particle billiards confined to containers with integrable one-particle counterparts inherit some integrals of motion and exhibit a regular partition of phase space into ergodic components of positive measure. Therefore, the shape of a container matters not only for noninteracting particles but also for interacting particles. | | Source: | arXiv, nlin.CD/0508037 | | Services: | Forum | Review | PDF | Favorites | |
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