弯曲几何中叶序晶格态之间的跃迁
Transitions between phyllotactic lattice states in curved geometries
摘要：
叶序性是指植物（包括菠萝、向日葵和一些仙人掌）的叶子或其他侧部器官的规则排列，几个世纪以来一直吸引着科学家的兴趣。最近有兴趣在phyllotaxis内的物理系统，特别是圆柱形几何。在这封信中，我们扩大从一个圆柱形的几何形状和调查叶序状态之间的过渡限制在一个圆锥台的软涡旋物质。我们表明，该系统的基态与以前的结果是一致的圆柱形限制，并讨论由此产生的缺陷结构的过渡。然后，我们通过引入密度梯度来创建处于单个状态的配置，从而从系统中消除这些缺陷。密度梯度的性质限制了这种方法在圆锥系统上的小参数范围。因此，我们寻求一个新的表面，喇叭，其中一个无缺陷的状态可以保持一个更大的参数范围。
英文摘要：
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.
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