发表机构
Institute of Mechanics, Bulgarian Academy of Sciences（保加利亚科学院力学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文精确求解含杂质原子的 Ising 链中 Casimir 力，发现其随温度、外场及杂质耦合强度变化，且可为吸引或排斥。
AI 中文摘要
本文给出了含有杂质原子的 $N$ 个原子 Ising 链的 Casimir 力行为的精确结果。该力被视为 $N$ 以及温度 $T$ 和外磁场 $h$ 的函数。链内最近邻相互作用假定为铁磁短程型，即 $J>0$。杂质原子与其最近邻以常数 $J_{ia}$ 相互作用，其中 $J_{ia}$ 既可为铁磁型（$J_{ia}>0$），也可为反铁磁型（$J_{ia}<0$）。结果表明，Casimir 力可以是吸引力或排斥力，取决于比值 $J_{ia}/J$ 的符号和大小。
英文摘要
The article contains exact results for the behavior of the Casimir force of Ising chain of $N$ atoms containing an impurity atom. The force is considered as a function of $N$ and on both the temperature $T$ and the external magnetic field $h$. The interactions between nearest neighbors within the chain are supposed to be of a ferromagnetic short-ranged type $J>0$. The impurity atom interacts with constants $J_{ia}$ with its nearest neighbors, where $J_{ia}$ can be both of ferromagnetic type, i.e., $J_{ia}>0$, as well as of antiferromagnetic type, i.e., $J_{ia}<0$. It turns out that the Casimir force can be both attractive or repulsive, depending on the sign and the magnitude of the ratio $J_{ia}/J$.
Comments8 pages; 6 figures
