Aggregation phenomena in lyotropic chromonic liquid crystals

Aggregation phenomena in lyotropic chromonic liquid crystals
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溶致发色液晶中的聚集现象

DOI:
10.1016/j.cnsns.2023.107139
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发表时间:
2023
影响因子:
3.9
通讯作者:
Calderer, M. Carme
Calderer, M. Carme
中科院分区:
数学2区
文献类型:
--
作者:
Mrad, Lidia;Zhao, Longhua;Español, Malena I.;Xu, Ling;Calderer, M. Carme

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本文研究了溶致变色液晶中分子浓度变化和加入凝聚剂时的聚集现象。利用性质的临界点的Oseen-Frank能量的一种液晶,结合的几何约束的六方柱色相,我们表明,最小的总能量是拓扑等价的环面,在协议与现有的实验证据色液晶和DNA缩合物,在病毒衣壳以及在自由溶液中。我们模拟的系统作为双相,由液晶分子和水,并假定总能量的总和的Flory-Huggins能量的混合在一起的弯曲和表面张力的贡献的液晶。两种类型的问题被认为是,一个有关找到一个环面的最佳形状,一旦发生相分离,和第二个模型的条件导致分子聚集。这项工作遵循最近的实验研究,但没有解决观察到的环形核的拓扑性质,并专注于液晶顺序如何与聚集现象竞争。
We study the aggregation phenomenon in lyotropic chromonic liquid crystals as the molecular concentration changes and condensing agents are added into the system. Using properties of the critical points of the Oseen–Frank energy of a nematic liquid crystal, combined with the geometric constraints of the hexagonal columnar chromonic phases, we show that the minimizers of the total energy are topologically equivalent to tori, in agreement with available experimental evidence on chromonic liquid crystals and DNA condensates, in viral capsids as well as in free solution. We model the system as bi-phasic, consisting of liquid crystal molecules and water, and postulate the total energy as the sum of the Flory–Huggins energy of mixing together with the bending and surface tension contributions of the liquid crystal. Two types of problems are considered, one related to finding the optimal shape of a torus, once the phase separation has occurred, and the second one that models the conditions leading to molecular aggregation. This work follows recent experimental investigations, but without addressing the topological properties of the toroidal nuclei observed and focusing on how the liquid crystal order competes with the aggregation phenomenon.
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