在二维多边形上定制向列和磁化曲线
Tailored Nematic and Magnetization Profiles on 2D Polygons
摘要：
我们研究了磁性纳米粒子的稀悬浮液中的一个dronehost，在二维（2D）多边形。在没有任何外场的情况下，这些系统由一个有序序参量和一个自发磁化描述。我们研究的稳定状态的稳定临界点的适当定义的自由能，与线磁耦合能量。我们数值研究了正多边形的形状，多边形的大小和线磁耦合的强度之间的相互作用，这个原型系统的多稳定性。我们的显着的结果包括（一）共存的稳定状态与畴壁和稳定的内部和边界缺陷，（二）抑制多稳定性的正向线磁耦合，和（三）增强多稳定性的负向线磁耦合。
英文摘要：
We study dilute suspensions of magnetic nanoparticles in a nematic host, on two-dimensional (2D) polygons. These systems are described by a nematic order parameter and a spontaneous magnetization, in the absence of any external fields. We study the stable states in terms of stable critical points of an appropriately defined free energy, with a nemato-magnetic coupling energy. We numerically study the interplay between the shape of the regular polygon, the size of the polygon and the strength of the nemato-magnetic coupling for the multistability of this prototype system. Our notable results include (i) the co-existence of stable states with domain walls and stable interior and boundary defects, (ii) the suppression of multistability for positive nemato-magnetic coupling, and (iii) the enhancement of multistability for negative nemato-magnetic coupling.
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