Fukuda Ji Jun-ichi, Lev Bohdan I, Yokoyama Hiroshi
Yokoyama Nano-structured Liquid Crystal Project, ERATO, Japan Science and Technology Corporation, 5-9-9 Tokodai, Tsukuba 300-2635, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 1):031710. doi: 10.1103/PhysRevE.65.031710. Epub 2002 Feb 13.
We calculate the interaction energy between spherical macroparticles immersed in a cholesteric liquid crystal due to the elastic deformation of the director field. We assume weak anchoring on the surface of the macroparticles and obtain the expression of the interaction energy that is valid for particle radius and interparticle distance sufficiently smaller than the cholesteric pitch. The resultant form of the interaction energy is more complex than that in a nematic liquid crystal. One of the characteristics is its dependence on the particle position as well as the interparticle distance, which arises from the intrinsic structure of a cholesteric liquid crystal, i.e., the absence of translational symmetry due to helical periodicity and local nematic ordering whose orientation depends on the position.
我们计算了由于指向矢场的弹性形变，浸没在胆甾相液晶中的球形大颗粒之间的相互作用能。我们假设大颗粒表面为弱锚定，并得到了对于颗粒半径和颗粒间距离足够小于胆甾相螺距时有效的相互作用能表达式。相互作用能的最终形式比向列相液晶中的更为复杂。其特点之一是它不仅依赖于颗粒间距离，还依赖于颗粒位置，这源于胆甾相液晶的固有结构，即由于螺旋周期性和平移对称性的缺失，以及局部向列序的取向依赖于位置。
