Shear-induced phase transition and critical exponents in three-dimensional fiber networks
Shear-induced phase transition and critical exponents in three-dimensional fiber networks
复制标题
三维光纤网络中剪切引起的相变和临界指数
DOI：
10.1103/physreve.104.l022402
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发表时间：
2021
影响因子：
2.4
通讯作者：
MacKintosh, Fred C.
中科院分区：
文献类型：
--
作者：
Arzash, Sadjad;Shivers, Jordan L.;MacKintosh, Fred C.
当受到外加应变时，纤维网络表现出非线性弹性硬化。最近的理论和实验表明，这种现象是由一个基本的机械相变，是关键的性质。越来越多的模拟证据表明，这种转变的非平均场行为和超标度关系已被提出来与相应的临界指数。在这里，我们报告模拟两个不同的网络结构在三个维度。通过执行有限大小的尺度分析，我们测试超尺度，并确定各种关键指数。从超标度的明显有效性，以及我们观察到的非平均场指数，我们的研究结果表明，应变控制相变的上临界尺寸是3以上，在相反的干扰过渡，代表另一个非热，机械相变。
When subject to applied strain, fiber networks exhibit nonlinear elastic stiffening. Recent theory and experiments have shown that this phenomenon is controlled by an underlying mechanical phase transition that is critical in nature. Growing simulation evidence points to non-mean-field behavior for this transition and a hyperscaling relation has been proposed to relate the corresponding critical exponents. Here, we report simulations on two distinct network structures in three dimensions. By performing a finite-size scaling analysis, we test hyperscaling and identify various critical exponents. From the apparent validity of hyperscaling, as well as the non-mean-field exponents we observe, our results suggest that the upper critical dimension for the strain-controlled phase transition is above three, in contrast to the jamming transition that represents another athermal, mechanical phase transition.