引导各向同性活性流体的各向异性摩擦
Guiding isotropic active fluids with anisotropic friction
AI总结:
研究通过各向异性摩擦图案化引导活性流体聚集与运动,揭示初始对称性对流体行为的影响,并提出简化模型用于设计定向运动的基底图案。
摘要:
受最近细胞在各向异性基底上积累的实验启发,我们研究了在各向异性摩擦存在下,二维、可压缩、各向同性的活性流体。我们发现,各向异性摩擦区域若以正拓扑缺陷的方式图案化,可能驱动活性流体聚集到一团中,但这种行为的稳健性取决于初始配置。如果初始方位对称性被充分破坏,我们发现图案不对称性反而可能导致聚集团的圆周运动。我们开发了一个近似分析模型来定性解释这种运动。最后,我们使用简化模型设计了一种基底图案,以产生沿给定路径定向运动的聚集团。
英文摘要:
Inspired by recent experiments of cells accumulating on anisotropic substrates, we study a two-dimensional, compressible, isotropic, active fluid in the presence of anisotropic friction. We find that regions of anisotropic friction that are patterned as positive topological defects may drive accumulation of an active fluid into a clump, but the robustness of this behavior depends on the initial configuration. If the initial azimuthal symmetry is sufficiently broken, we find that patterning asymmetry can instead lead to circular motion of accumulated clumps. We develop an approximate analytical model to qualitatively explain the motion. Finally, we use our simplified model to design a substrate pattern that creates directed motion of accumulated clusters along a given path.
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