Qiang Zhang:Will particles fall through a steeper funnel faster?(16:00-17:00)
2010-04-04 来源:数学科学研究中心活动地点:
活动类型:学术报告
主讲人:Qiang Zhang(City University of Hong Kong)
活动时间:
活动内容:
Abstract: We present several surprising phenomena that occur in an extremely simple granular system of a single inelastic, spherical particle falling under gravity and colliding with walls of a symmetric funnel. One might naively expect that, on average, particles would fall through funnels with steeper sides more quickly, exert a smaller total impulse on the funnel walls, and lose less energy. However, we show that there are special ranges of angles of the funnel walls for which exactly the opposite occurs. Typically, the particle will experience a sequence of collisions that is highly sensitive to the location at which it enters the funnel and nearby particle trajectories become widely dispersed. However, in the special angular ranges this is not the case and the particle can experience sequences of collisions that have a highly coherent structure. We provide a theoretical analysis that can predict and explain this surprising behavior. We also show that such anomalous phenomena occur in both frictionless and frictional particle systems and the frictional force dramatically enhances the anomalous phenomena. This is due to the stability of the highly coherent structure in these granular systems.