论文标题

振动的颗粒介质中的几何控制相变

Geometry-controlled phase transition in vibrated granular media

论文作者

Zuñiga, René, Varas, Germán, Job, Stéphane

论文摘要

我们报告了在二维垂直容器中受约束的振动颗粒动力学的实验,这是由以下问题激励的:如何使给定的外部振动中的最大化以最大化内部混乱(例如,搅动颗粒)和激动(例如吸收振动)?颗粒培养基是对经典热力学系统的类似物,可以通过摇动来实现能量的注入:通过调谐振幅或振荡频率而产生流化。另外,我们探索当修改容器几何形状的同时保持恒定能量注入的同时,将会发生什么。我们的方法包括将容器底座修改为V形,以打破内部颗粒排列的对称性。该晶格在任何热搅动下都包含紧凑的六角形固体样晶体相,并存,与宽松的无定形流体样相共存。我们表明,固体到流体体积分数和颗粒温度不仅取决于外部振动,还取决于容器不对称触发的拓扑缺陷的数量。前者依靠能量波动的统计数据,后者与KTHNY理论描述的二维熔化过渡一致。

We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g. to blend particles) and agitation (e.g. to absorb vibrations)? Granular media are analogs to classical thermodynamic systems, where the injection of energy can be achieved by shaking them: fluidization arises by tuning either the amplitude or the frequency of the oscillations. Alternatively, we explore what happens when another feature, the container geometry, is modified while keeping constant the energy injection. Our method consists in modifying the container base into a V-shape to break the symmetries of the inner particulate arrangement. The lattice contains a compact hexagonal solid-like crystalline phase coexisting with a loose amorphous fluid-like phase, at any thermal agitation. We show that both the solid-to-fluid volume fraction and the granular temperature depend not only on the external vibration but also on the number of topological defects triggered by the asymmetry of the container. The former relies on the statistics of the energy fluctuations and the latter is consistent with a two-dimensional melting transition described by the KTHNY theory.

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