论文标题
活性列中的机械化学拓扑缺陷
Mechanochemical Topological Defects in an Active Nematic
论文作者
论文摘要
我们提出了一个反应扩散系统，该系统将主动nematic的拓扑信息转换为化学信号。我们表明，曲率激活的反应偶极子足以创建一个系统，该系统通过产生具有与$ \ pm \ pm \ frac \ frac {1} {2} $缺陷相吻合的浓度场来动态感知拓扑。该启示项类似于介电材料中看到的极化电荷密度。我们证明了该系统识别被动和主动nematics中缺陷的能力。该模型表明，以PDE系统形式的相对简单的反馈方案能够响应各向异性介质中固有的非本地结构而产生化学信号。我们认为，这种粗粒系统可以帮助生成可检验的假设，用于在生物系统中（例如形态发生）中的调节过程，并激励生物启发的材料的创建，这些材料利用列明结构和生物化学之间的动态耦合。
We propose a reaction-diffusion system that converts topological information of an active nematic into chemical signals. We show that a curvature-activated reaction dipole is sufficient for creating a system that dynamically senses topology by producing a concentration field possessing local extrema coinciding with $\pm\frac{1}{2}$ defects. The enabling term is analogous to polarization charge density seen in dielectric materials. We demonstrate the ability of this system to identify defects in both passive and active nematics. The model demonstrates that a relatively simple feedback scheme in the form of a PDE system is capable of producing chemical signals in response to inherently non-local structures in anisotropic media. We posit that such coarse-grained systems can help generate testable hypotheses for regulated processes in biological systems such as morphogenesis and motivate the creation of bioinspired materials that utilize dynamic coupling between nematic structure and biochemistry.
