论文标题
在圆柱体表面的排斥颗粒的浮力态之间的受控过渡
Controlled transitions between phyllotactic states of repulsive particles confined on the surface of a cylinder
论文作者
论文摘要
植物状态是圆柱体上的常规晶格样结构，是植物分类方案。在此通信中，我们报告了在零温度下圆柱几何形状上具有排斥颗粒粒子相互作用的颗粒之间的植物性状态之间的一系列过渡。我们可以通过蒙特卡洛模拟以及基态的数学描述来推断过渡点是密度的函数。我们生成的晶格被描述为适合圆柱表面的植物状态，作为一组螺旋链。我们的分析表明，所有状态能量如何在我们利用以找到过渡的相同抛物线上。
Phyllotactic states are regular lattice-like structures on cylinders and are a botanical classification scheme. In this communication, we report a sequence of transitions between phyllotactic states for particles with a repulsive particle-particle interaction on a cylindrical geometry at zero temperature. We can infer the transition points as a function of density via Monte Carlo simulations, as well as the mathematical descriptions of the ground states. The lattices we generate are described as phyllotactic states that fit onto the cylindrical surface as a set of helical chains. Our analysis shows how all state energies lie on the same parabola which we exploit to find the transitions.
