定向超盘的随机顺序吸附
Random Sequential Adsorption of Oriented Superdisks
摘要：
在这项工作中，我们扩展了Y。Jiao，F. H. Stillinger和S. Torquato，Phys. Rev. Lett. 100，245504（2008）中描述的方法，将这些物体以随机顺序吸附的方式形成的堵塞状态改变为堵塞状态。超级盘是由形式为|x| ^（2 p）+ |y| ^（2 p）= 1的曲线约束的二维形状，其中p > 0。我们使用蒙特卡罗模拟和理论论证，建立p = 1/2是一个特殊的点，在该点上的干扰密度有一个不连续的导数作为p的函数。这一点的存在也可以认为是由几何参数。
英文摘要：
In this work we extend recent study of the properties of the dense packing of "superdisks," by Y. Jiao, F. H. Stillinger and S. Torquato, Phys. Rev. Lett. 100, 245504 (2008), to the jammed state formed by these objects in random sequential adsorption. The superdisks are two-dimensional shapes bound by the curves of the form |x|^(2p) + |y|^(2p) = 1, with p > 0. We use Monte Carlo simulations and theoretical arguments to establish that p = 1/2 is a special point at which the jamming density has a discontinuous derivative as a function of p. The existence of this point can be also argued for by geometrical arguments.
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