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Clogging transition of many-particle systems flowing through bottlenecks

机译:流经瓶颈的多粒子系统的堵塞过渡

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摘要

When a large set of discrete bodies passes through a bottleneck, the flow may become intermittent due to the development of clogs that obstruct the constriction. Clogging is observed, for instance, in colloidal suspensions, granular materials and crowd swarming, where consequences may be dramatic. Despite its ubiquity, a general framework embracing research in such a wide variety of scenarios is still lacking. We show that in systems of very different nature and scale -including sheep herds, pedestrian crowds, assemblies of grains, and colloids- the probability distribution of time lapses between the passages of consecutive bodies exhibits a power-law tail with an exponent that depends on the system condition. Consequently, we identify the transition to clogging in terms of the divergence of the average time lapse. Such a unified description allows us to put forward a qualitative clogging state diagram whose most conspicuous feature is the presence of a length scale qualitatively related to the presence of a finite size orifice. This approach helps to understand paradoxical phenomena, such as the faster-is-slower effect predicted for pedestrians evacuating a room and might become a starting point for researchers working in a wide variety of situations where clogging represents a hindrance.
机译:当大量离散体穿过瓶颈时,由于阻塞阻塞的木log的发展,流量可能会断断续续。例如,在胶体悬浮液,颗粒状物质和人群拥挤中观察到堵塞,其后果可能很严重。尽管它无处不在,但仍缺乏一个涵盖在如此广泛的场景中进行研究的通用框架。我们表明,在性质和规模截然不同的系统(包括绵羊群,行人人群,谷物集合和胶​​体)中,连续物体通过之间的时间间隔概率分布表现出幂律尾部,其指数取决于系统条件。因此,我们根据平均时间流逝的差异确定了向堵塞的过渡。这种统一的描述使我们能够提出定性的堵塞状态图,其最明显的特征是与定尺孔的存在定性相关的长度标尺的存在。这种方法有助于理解自相矛盾的现象,例如,行人撤离房间时预测的快慢速效应可能成为研究人员在各种情况下工作的起点,在这些情况下,堵塞是一个障碍。

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