Burylov S V, Zakhlevnykh A N
Institute of Transport Systems and Technologies, Ukrainian National Academy of Science, 5 Pisargevsky St., 49005, Dnepropetrovsk, Ukraine.
Physics of Phase Transitions Department, Perm State University, 15 Bukirev St., 614990, Perm, Russia.
Eur Phys J E Soft Matter. 2016 Jun;39(6):65. doi: 10.1140/epje/i2016-16065-x. Epub 2016 Jun 28.
We study the Freedericksz transition induced by a magnetic field in a rectangular cell filled with a nematic liquid crystal. In the initial state the director of the nematic liquid crystal is uniformly aligned in the cross section plane of the cell with rigid anchoring of the director at cell walls: planar on the top and bottom walls, and homeotropic on the left and right ones. The magnetic field is directed perpendicular to the cell cross section plane. We consider two-dimensional (2D) orientational deformations of the nematic liquid crystal in the rectangular cell and determine the critical value of the Freedericksz transition field above which these orientational deformations occur. The 2D expression for the director alignment profile above the threshold of Freedericksz transition is analytically found and the profile shapes as functions of cell sizes, values of the Frank elastic constants of the nematic liquid crystal and the magnetic field are studied.
我们研究了在充满向列型液晶的矩形盒中由磁场诱导的弗雷德里克斯转变。在初始状态下，向列型液晶的指向矢在盒的横截面平面内均匀排列，指向矢在盒壁处刚性锚定：在顶部和底部壁上为平面锚定，在左侧和右侧壁上为垂面锚定。磁场垂直于盒的横截面平面。我们考虑矩形盒中向列型液晶的二维（2D）取向变形，并确定弗雷德里克斯转变场的临界值，高于该临界值时会发生这些取向变形。通过解析得到了弗雷德里克斯转变阈值以上指向矢排列轮廓的二维表达式，并研究了轮廓形状与盒尺寸、向列型液晶的弗兰克弹性常数以及磁场值的函数关系。
