螺旋孤子：一个研究动态叶序性的连续介质模型
Spiraling Solitons: a Continuum Model for Dynamical Phyllotaxis and Beyond
摘要：
一种新颖的，多变的，拓扑孤子最近已被证明出现在系统的排斥粒子在圆柱形的几何形状，其静态描述的数量理论对象的叶序。在这里，我们提出了一个最小的和本地连续模型，可以解释的叶序孤子的许多功能，如锁定速度，螺旋移位，能量传输和，维格纳晶体的纳米管，电荷传输。这种处理是通用的，应该适用于其他螺旋系统。与例如Sine-Gornon类系统不同，我们的孤子可以存在于非简并结构之间，意味着通过系统的功率流，它分离的域的动态;我们还预测脉冲，静态和动态。应用包括纳米管上维格纳晶体的电荷传输或A-到B-DNA的跃迁。
英文摘要：
A novel, protean, topological soliton has recently been shown to emerge in systems of repulsive particles in cylindrical geometries, whose statics is described by the number-theoretical objects of phyllotaxis. Here we present a minimal and local continuum model that can explain many of the features of the phyllotactic soliton, such as locked speed, screw shift, energy transport and, for Wigner crystal on a nanotube, charge transport. The treatment is general and should apply to other spiraling systems. Unlike e.g. Sine-Gornon-like systems, our solitons can exist between non-degenerate structure, imply a power flow through the system, dynamics of the domains it separates; we also predict pulses, both static and dynamic. Applications include charge transport in Wigner Crystals on nanotubes or A- to B-DNA transitions.
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