论文标题
二维活动中主动命名的矢量形式主义
Vector Formalism for Active Nematics in Two Dimensions
论文作者
论文摘要
二维差异动力学的特定特征会导致计算中常用的列级参数的张量表示短缺，尤其是在活性物质理论中。根据矢量顺序参数的替代表示遵循经典基于董事的理论，但适用于2D问题，在2D问题中，列表对齐和偏离各向同性状态都是可变的。列列对准和流的稳定性分析用作测试场。基于主管的分析表明了标准理论的短缺，这不能确保被动系统中平衡的放松。它还证明了基于导演的描述不足，它错过了模量扰动的稳定效果，从而确保被动系统在尺度上的稳定性远远超过了愈合长度。
Specific features of two-dimensional nematodynamics give rise to shortfalls of the tensor representation of the nematic order parameter commonly used in computations, especially in theory of active matter. The alternative representation in terms of the vector order parameter follows with small adjustments the classical director-based theory, but is applicable to 2D problems where both nematic alignment and deviation from the isotropic state are variable. Stability analysis of nematic alignment and flow is used as a testing ground. A director-based analysis demonstrates a shortfall of the standard theory, which does not ensure relaxation to equilibrium in a passive system. It also demonstrates the inadequacy of the director-based description, which misses a stabilizing effect of perturbations of the modulus ensuring stability of a passive system on scales far exceeding the healing length.
