Jamming of Deformable Polygons

Jamming of Deformable Polygons
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DOI:
10.1103/physrevlett.121.248003
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发表时间:
2018-12-11
影响因子:
8.6
通讯作者:
Shattuck, Mark D.
Shattuck, Mark D.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Boromand, Arman;Signoriello, Alexandra;Shattuck, Mark D.

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我们介绍了细胞、泡沫、乳液和其他软颗粒材料的可变形颗粒(DP)模型,它增加了现有模型的优点并消除了现有模型的不足。DP模型将单个软粒子的建模能力与顶点模型的形状-能量函数相结合,并增加了任意粒子的变形。我们关注具有形状能量函数的二维可变形多边形,该函数对于面积a(0)和周长p(0)和排斥粒子间力是最小的。我们研究了干扰的发生与粒子非球形的关系,A = p(0)(2)/4 pi A(0),并发现在合流处,堆积分数随着A的增加而增加,直到达到底层Voronoi细胞的A* = 1.16。我们发现A*以上和以下的DP填料是固体状的,这有助于解释顶点模型中A*处的固体到流体的转变,即从张力主导到压缩主导的转变。
We introduce the deformable particle (DP) model for cells, foams, emulsions, and other soft particulate materials, which adds to the benefits and eliminates deficiencies of existing models. The DP model combines the ability to model individual soft particles with the shape-energy function of the vertex model, and adds arbitrary particle deformations. We focus on 2D deformable polygons with a shape-energy function that is minimized for area a(0) and perimeter p(0) and repulsive interparticle forces. We study the onset of jamming versus particle asphericity, A = p(0)(2)/4 pi a(0), and find that the packing fraction grows with A until reaching A* = 1.16 of the underlying Voronoi cells at confluence. We find that DP packings above and below A* are solidlike, which helps explain the solid-to-fluid transition at A* in the vertex model as a transition from tension- to compression-dominated regimes.