Orientational multiplicity and transitions in liquid crystalline droplets

Orientational multiplicity and transitions in liquid crystalline droplets
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DOI:
10.1103/physreve.75.021704
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发表时间:
2007-02-01
期刊:
影响因子:
2.4
通讯作者:
Denn, Morton M.
Denn, Morton M.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Goyal, Rajesh K.;Denn, Morton M.

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利用Oseen-Frank连续统理论的最小自由能模拟退火算法,计算了具有各向同性锚定的液晶液滴的取向分布。液滴在无量纲表面力与弹性力之比的整个范围内表现出由有限能量垒隔离的多个方向稳态,对于球形半径为1 μ m的典型液晶液滴,其最大转变能量密度为2000 J/m(3) (Pa)。当长径比为4或更大时,转变能量密度随着延伸而降低。表明液滴延伸有利于驱动表面诱导转变。
Orientation distributions in droplets of liquid crystals with homeotropic anchoring are computed with a simulated annealing algorithm that minimizes the free energy of the Oseen-Frank continuum theory. The droplets exhibit multiple orientational steady states that are separated by finite energy barriers over the entire range of the dimensionless ratio of surface to elastic forces, with maximum transition energy densities of the order of 2000 J/m(3) (Pa) for a typical liquid crystalline droplet with a spherical radius of 1 mu m. The transition energy densities decrease with elongation to spheroidal droplets with aspect ratios of four or more, indicating that droplet elongation is favored to drive surface-induced transitions.