Energetic rigidity. II. Applications in examples of biological and underconstrained materials
Energetic rigidity. II. Applications in examples of biological and underconstrained materials
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DOI：
10.1103/physreve.105.025004
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发表时间：
2022-02-18
影响因子：
2.4
通讯作者：
Manning, M. Lisa
中科院分区：
文献类型：
--
作者：
Damavandi, Ojan Khatib;Hagh, Varda F.;Manning, M. Lisa
这是第二篇致力于能量刚性的论文，其中我们将形式主义应用于二维的例子：欠约束的随机规则弹簧网络、顶点模型和软粒子的堵塞堆积。弹簧网络和顶点模型都是高度欠约束的，一阶约束计数不能预测它们的刚性，但二阶刚性可以预测。相比之下，球形卡塞填料受到过度约束，因此具有一阶刚性，这意味着只要系统中的预应力足够小，约束计数就相当于能量刚性。另一方面，非球面堵塞填料已被证明在实体性处堵塞，我们用它来论证对四次阶能量刚性系统的修正约束计数。
This is the second paper devoted to energetic rigidity, in which we apply our formalism to examples in two dimensions: Underconstrained random regular spring networks, vertex models, and jammed packings of soft particles. Spring networks and vertex models are both highly underconstrained, and first-order constraint counting does not predict their rigidity, but second-order rigidity does. In contrast, spherical jammed packings are overconstrained and thus first-order rigid, meaning that constraint counting is equivalent to energetic rigidity as long as prestresses in the system are sufficiently small. Aspherical jammed packings on the other hand have been shown to be jammed at hypostaticity, which we use to argue for a modified constraint counting for systems that are energetically rigid at quartic order.