Random Close Packing as a Dynamical Phase Transition
Random Close Packing as a Dynamical Phase Transition
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作为动态相变的随机密堆积
DOI：
10.1103/physrevlett.127.038002
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发表时间：
2021
影响因子：
8.6
通讯作者：
Chaikin, Paul M.
中科院分区：
文献类型：
--
作者：
Wilken, Sam;Guerra, Rodrigo E.;Levine, Dov;Chaikin, Paul M.
球体包装是一个古老的问题。已知最致密的堆积是面心立方(FCC)晶体，具有空间填充分数。最密集的“随机堆积”，随机紧密堆积(RCP)，尽管许多实验和模拟都同意一个值，但定义尚不明确。我们介绍了一个简单的吸收态模型--有偏随机组织(BRO)，它在吸收态和活化态之间呈现出Manna类的动态相变，其最密集的临界点和其它Manna类模型一样，在临界点是超均匀的。我们从BRO获得的配置似乎在结构上与从其他协议获得的RCP配置相同。这导致我们猜测，各向同性偏向随机组织模型的最高密度吸收态产生了表征传统上称为RCP的状态的组态集合。
Sphere packing is an ancient problem. The densest packing is known to be a face-centered cubic (FCC) crystal, with space-filling fraction. The densest “random packing,” random close packing (RCP), is yet ill defined, although many experiments and simulations agree on a value. We introduce a simple absorbing-state model, biased random organization (BRO), which exhibits a Manna class dynamical phase transition between absorbing and active states that has as its densest critical pointand, like other Manna class models, is hyperuniform at criticality. The configurations we obtain from BRO appear to be structurally identical to RCP configurations from other protocols. This leads us to conjecture that the highest-density absorbing state for an isotropic biased random organization model produces an ensemble of configurations that characterizes the state conventionally known as RCP.