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arXiv 1606.03559cond-mat.soft
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耦合Leidenfrost态作为单分散颗粒钟

Coupled Leidenfrost States as a Monodisperse Granular Clock

Rui Liu, Mingcheng Yang, Ke Chen, Meiying Hou, Kiwing To

摘要:

利用事件驱动的分子动力学模拟,我们表明,简单的单分散颗粒限制在耦合列可能振荡作为一种新型的颗粒时钟。为了触发这种振荡,系统需要克服重力进入密度反转状态,在每个柱中,高密度聚集相由气体状低密度相(莱顿弗罗斯特效应)从下面支持。我们的分析表明,密度反转结构和相位之间的弛豫动力学可以放大柱之间的任何小的不对称性,并导致巨大的振荡。振荡只发生在耦合强度的中间范围内,并且相应的相图可以普遍地用密度反转结构的特征高度描述。提出了一个最小的两相模型,线性稳定性分析表明,振荡的触发机制可以解释为一个可切换的两参数Hopf分岔。该模型的数值解也重现类似的振荡动力学的模拟结果。

英文摘要:

Using an event-driven molecular dynamics simulation, we show that simple monodisperse granular beads confined in coupled columns may oscillate as a new type of granular clock. To trigger this oscillation, the system needs to be driven against gravity into a density-inverted state, with a high-density clustering phase supported from below by a gas-like low-density phase (Leidenfrost effect) in each column. Our analysis reveals that the density-inverted structure and the relaxation dynamics between the phases can amplify any small asymmetry between the columns, and lead to a giant oscillation. The oscillation occurs only for an intermediate range of the coupling strength, and the corresponding phase diagram can be universally described with a characteristic height of the density-inverted structure. A minimal two-phase model is proposed and linear stability analysis shows that the triggering mechanism of the oscillation can be explained as a switchable two-parameter Hopf bifurcation. Numerical solutions of the model also reproduce similar oscillatory dynamics to the simulation results.

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