标题： 磁性球在强均匀磁场中的自组装 显示英文标题

标题： Self-Assembly of Magnetic Spheres in Strong Homogeneous Magnetic Field

摘要： 二维空间中强磁场下球形磁铁的自组装问题被理论研究。 %% 证明了平行磁链的吸引和组装是偶极-偶极相互作用与短程排斥体积相关性的微妙相互作用的结果。 %% 通过数值优化过程以及分析考虑得到了最小能量结构。 对于较少的组成磁铁 $N_{\rm tot}\leq26$，发现直线链是稳定的。 在较大 $N_{\rm tot}\geq27$的区域，磁铁形成 \textit{两个相切}链，在两端具有相同长度的尾部。 我们成功地识别了从 \textit{二}到 \textit{三}触摸链在 $N_{\rm tot}=129$的转变。 显示英文摘要

摘要： The self-assembly in two dimensions of spherical magnets in strong magnetic field is addressed theoretically. %% It is shown that the attraction and assembly of parallel magnetic chains is the result of a delicate interplay of dipole-dipole interactions and short ranged excluded volume correlations. %% Minimal energy structures are obtained by numerical optimization procedure as well as analytical considerations. For a small number of constitutive magnets $N_{\rm tot}\leq26$, a straight chain is found to be stable. In the regime of larger $N_{\rm tot}\geq27$, the magnets form \textit{two touching} chains with equally long tails at both ends. We succeed to identify the transition from \textit{two} to \textit{three} touching chains at $N_{\rm tot}=129$.