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|標題:||Collective motion of inelastic particles between two oscillating walls||作者:||Chung, F.F.
|關鍵字:||Granular system;Collective motion;Phase transition;external vibrations;bouncing ball;spheres;hydrodynamics;fluidization;dimensions;monolayer;dynamics;collapse;columns||Project:||Granular Matter||期刊/報告no：:||Granular Matter, Volume 13, Issue 6, Page(s) 787-794.||摘要:||
This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a solid-like phase with particles clustered in their compact form. Molecular dynamics simulations of the system show that the critical filling fraction is a decreasing function of vibration amplitude independent of vibration frequency, which is consistent with previous experimental results. This study considers the entire group of particles as a giant pseudo-particle with an effective size and an effective coefficient of restitution. The N-particles system is then analytically treated as a one-particle problem. The critical filling fraction's dependence on vibration amplitude can be explained as a necessary condition for a stable resonant solution. The fluctuation to the system's mean flow energy is also studied to show the relation between the granular temperature and the system phase.
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