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Random closest packing in a 2D lattice model

机译:二维晶格模型中的随机最接近堆积

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The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with a limiting coverage density rho(rcp) = 0.171626(3), lower than the density of closest packing rho(cp) = 1/5 and the long-time filling rate vanishes like (rho(rep) - rho(t))(2). For the entire density regime the particles form an amorphous phase, devoid of any crystalline order. Therefore, the model supports a stable random packing state, as opposed to the hard-discs system. [References: 21]
机译:研究了硬十字形五角体在二维方格上的压实动力学。新颗粒的添加通过扩散弛豫来控制。结果表明,填充过程终止于玻璃态,覆盖极限密度为rho(rcp)= 0.171626(3),低于最接近的填充密度rho(cp)= 1/5,长期填充率消失了例如(rho(rep)-rho(t))(2)。对于整个密度状态,颗粒形成无晶相的无定形相。因此,与硬碟系统相比,该模型支持稳定的随机打包状态。 [参考:21]

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