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从圆半径分布来估计随机的密集包装密度.

David J Meer1, Isabela Galoustian1, Julio Gabriel de Falco Manuel2

  • 1Department of Physics, <a href="https://ror.org/03czfpz43">Emory University</a>, Atlanta, Georgia 30322, USA.

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概括
此摘要是机器生成的。

将尺寸多样性添加到圆形包装中会破坏秩序. 模拟显示随机密封分数取决于尺寸分布.

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科学领域:

  • 物理 物理学 物理
  • 材料科学 材料科学 材料科学
  • 计算机建模 计算建模

背景情况:

  • 均圆圈的密集包装形成了有序的六角格子.
  • 在圆圈中引入尺寸变化 (多分散性) 会导致包装无序.

研究的目的:

  • 为了研究尺寸分布如何影响圆形密集的随机包装中的面积分数.
  • 为了确定包装分数和圆形大小分布的统计性质之间的关系.

主要方法:

  • 计算模拟被用来生成密集的随机包装的圆圈.
  • 指定了各种尺寸分布,并测量了得到的面积分数.

主要成果:

  • 随机密封面积分数 (φ_rcp) 由尺寸分布的多分散性和斜率准确地预测.
  • 在低斜率下,包装接近最小分数 (φ_0 ≈ 0.840),无论多分散性如何.
  • 在高斜度时,φ_rcp变得独立于斜度,并接近多分散度依赖的极限.

结论:

  • 圆形尺寸分布的统计性质是包装效率的关键决定因素.
  • 可以使用更简单的双分散或双高斯尺寸分布来预测结果.