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Inelastic collapse of perfectly inelastic particles

机译:完美无弹性粒子的无弹性坍塌

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One of the most intensively discussed subjects in the dynamics of dissipative hard sphere systems is the effect of inelastic collapse, where the entire kinetic energy of the relative motion of a set of particles is dissipated in finite time due to an infinite sequence of collisions. The known collapse scenarios imply two preconditions: inertia of the particles and at least some degree of elasticity. For completely inelastic particles, collapse scenarios degenerate to a single sticky contact. By considering the overdamped motion of a frictional particle along the steepest descent in a rigid landscape, here we show that there exist collapse scenarios of novel type even if neither of these preconditions hold true. By means of numerical simulations we show that such collapses are no rare events due to particular particle shape and/or initial conditions and, thus, may be considered as an alternative scenario of granular cluster formation. Inelastic collapse, whereby particles can collide an infinite number of times in finite time, has been extensively studied, and occurs under the condition of particle inertia and elasticity. The authors propose a scenario for inelastic collapse in the physics of granular materials by numerically studying the deposition of totally inelastic particles in an overdamped dynamics showing that the two conditions above are not necessary to have inelastic collapse.
机译:耗散硬球系统动态中的最强烈讨论的受试者之一是无弹性崩溃的效果,其中由于无限的碰撞序列,一组颗粒的相对运动的整个动能在有限时间上被耗散。已知的崩溃情景意味着两个先决条件:粒子的惯性和至少一定程度的弹性。对于完全非弹性粒子,折叠情景退化为单个粘性接触。通过考虑沿着刚性景观中最陡的摩擦粒子的摩擦粒子的过度衰减运动,这里我们表明即使这些先决条件都没有保持真正的话,也表明新颖类型的崩溃情景。通过数值模拟,我们表明这种折叠由于特定粒子形状和/或初始条件而不是罕见的事件,因此可以被认为是粒状簇形成的替代场景。非弹性坍塌,由此颗粒可以在有限时间内碰撞无限的次数,已经过度研究,并且发生在粒子惯性和弹性的条件下。作者提出了一种在粒状材料中的物理学中的无弹性塌陷的场景,通过数值研究在覆盖动力学中的沉积中,表明上述两个条件没有必要具有无弹性塌陷。

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