Jamming Below Upper Critical Dimension
Jamming Below Upper Critical Dimension
复制标题
低于上临界尺寸的干扰
DOI：
10.11316/butsuri.76.4_208
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
池田 晴國
中科院分区：
文献类型：
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作者：
Masanori Iwamoto;Takanobu Amano;Yosuke Matsumoto;Shuichi Matsukiyo;Masahiro Hoshino;池田 晴國
干扰过渡的最小模型是由球形无摩擦球形颗粒组成的系统。在本文中，我们首先从二维和三维两个方面回顾了该模型的数值和理论结果。特别地，我们讨论了临界指数不依赖于空间维度，这意味着干扰转变的上临界维度是二维的。接下来，我们讨论了最近在准一维系统中的数值结果。结果表明，准一维系统的临界指数不同于二维和三维系统的临界指数。此外，即使在干扰过渡点处，间隙分布也是有限的。我们的工作首次揭示了干扰跃迁在上临界维度以下的标度行为。
[en] A minimal model of the jamming transition is a system consisting of spherical frictionless spherical particles. In this paper, we first review the numerical and theoretical results of this model in two and three dimensions. In particular, we discuss that the critical exponents do not depend on the spatial dimensions, implying that the upper critical dimension of the jamming transition is blow two dimensions. Next, we discuss our recent numerical results in a quasi-one-dimensional system. We show that the critical exponents in the quasi-one-dimensional system differ from those in two and three dimensions. Furthermore, the gap distribution remains finite even at the jamming transition point. Our work, for the first time, unveils the scaling behavior of the jamming transition below the upper critical dimension.(author)