Thermally Driven Order-Disorder Transition in Two-Dimensional Soft Cellular Systems
Thermally Driven Order-Disorder Transition in Two-Dimensional Soft Cellular Systems
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DOI：
10.1103/physrevlett.123.188001
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发表时间：
2019-10-29
影响因子：
8.6
通讯作者：
Heu, Julien
中科院分区：
文献类型：
--
作者：
Durand, Marc;Heu, Julien
许多系统，包括生物组织和泡沫，由具有高变形性但低压缩性的高度填充单元制成。在两个维度上，这些系统提供了具有固定密度的平面的自然镶嵌，其中经常在两个方向上观察到从有序到无序图案的过渡。使用修改后的细胞Potts模型算法，允许快速热化的广泛的系统，我们数值探索的有序无序转变的单分散，二维细胞系统驱动的热搅拌。我们表明，过渡遵循大多数的预测Kosterlitz-Escherless-Halperin-Nelson-Young（KTHNY）理论开发的熔化的二维固体，扩展该理论的有效性与多体相互作用的系统。特别是，我们表明存在一个中间的六边形相，它保留了定向有序的正六边形瓷砖，但失去了它的位置顺序。除了阐明在实验系统中观察到的结构变化，我们的研究表明，软细胞系统提供宏观系统中，KTHNY熔化的情况下，可以探索，在继续布拉格的实验气泡筏。
Many systems, including biological tissues and foams, are made of highly packed units having high deformability but low compressibility. At two dimensions, these systems offer natural tesselations of a plane with fixed density, in which transitions from ordered to disordered patterns are often observed, in both directions. Using a modified cellular Potts model algorithm that allows rapid thermalization of extensive systems, we numerically explore the order-disorder transition of monodisperse, two-dimensional cellular systems driven by thermal agitation. We show that the transition follows most of the predictions of Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory developed for melting of 2D solids, extending the validity of this theory to systems with many-body interactions. In particular, we show the existence of an intermediate hexatic phase, which preserves the orientational order of the regular hexagonal tiling but loses its positional order. In addition to shedding light on the structural changes observed in experimental systems, our study shows that soft cellular systems offer macroscopic systems in which the KTHNY melting scenario can be explored, in the continuation of Bragg's experiments on bubble rafts.