论文标题
弯曲的几何形状中的浮力晶格状态之间的过渡
Transitions between phyllotactic lattice states in curved geometries
论文作者
论文摘要
Phyllotaxis是菠萝，向日葵和一些仙人掌在内的植物中叶子或其他外侧器官的定期排列，几个世纪以来吸引了科学兴趣。最近，物理系统中对植物的感兴趣，尤其是对于圆柱几何形状。在这封信中，我们从圆柱形几何形状扩展，并研究了局限于圆锥形的软涡状物质的浮力态之间的过渡。我们表明，该系统的基态与圆柱限制的先前结果一致，并讨论了过渡时产生的缺陷结构。然后，我们通过引入密度梯度以在单个状态下创建配置来消除系统中的这些缺陷。密度梯度的性质将这种方法限制在锥形系统上的小参数范围内。因此，我们寻求一个新的表面，即喇叭，为此可以维持无缺陷状态的范围。
Phyllotaxis, the regular arrangement of leaves or other lateral organs in plants including pineapples, sunflowers and some cacti, has attracted scientific interest for centuries. More recently there has been interest in phyllotaxis within physical systems, especially for cylindrical geometry. In this letter, we expand from a cylindrical geometry and investigate transitions between phyllotactic states of soft vortex matter confined to a conical frustum. We show that the ground states of this system are consistent with previous results for cylindrical confinement and discuss the resulting defect structures at the transitions. We then eliminate these defects from the system by introducing a density gradient to create a configuration in a single state. The nature of the density gradient limits this approach to a small parameter range on the conical system. We therefore seek a new surface, the horn, for which a defect-free state can be maintained for a larger range of parameters.
