Tang Xingzhou, Selinger Jonathan V
Department of Physics, Advanced Materials and Liquid Crystal Institute, Kent State University, Kent, Ohio 44242, USA.
Phys Rev E. 2020 Mar;101(3-1):032701. doi: 10.1103/PhysRevE.101.032701.
If a static perturbation is applied to a liquid crystal, then the director configuration changes to minimize the free energy. If a shear flow is applied to a liquid crystal, then one might ask: Does the director configuration change to minimize any effective potential? To address that question, we derive the Leslie-Ericksen equations for dissipative dynamics and determine whether they can be expressed as relaxation toward a minimum. The answer may be yes or no, depending on the number of degrees of freedom. Using theory and simulations, we consider two specific examples, reverse tilt domains under simple shear flow and dowser configurations under plane Poiseuille flow, and we demonstrate that each example shows relaxation toward the minimum of an effective potential.
如果对液晶施加静态微扰，那么指向矢构型会发生变化以使自由能最小化。如果对液晶施加剪切流，那么人们可能会问：指向矢构型是否会发生变化以使任何有效势最小化？为了解决这个问题，我们推导了用于耗散动力学的莱斯利 - 埃里克森方程，并确定它们是否可以表示为朝着最小值的弛豫。答案可能是肯定的，也可能是否定的，这取决于自由度的数量。通过理论和模拟，我们考虑两个具体例子，即简单剪切流下的反向倾斜畴和平面泊肃叶流下的探矿者构型，并且我们证明每个例子都显示出朝着有效势最小值的弛豫。
