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Casimir Force, Magnetization, and Susceptibility for \\ Ising Chain with an Impurity Atom in the Presence of an External Field

  • Daniel Dantchev
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Abstract

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 Jia with its nearest neighbors, where Jia can be both of ferromagnetic type, i.e., Jia>0, as well as of antiferromagnetic type, i.e., Jia<0. It turns out that the Casimir force can be both attractive or repulsive, depending on the sign and the magnitude of the ratio Jia/J.

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Cite

BibTeXRIS
BibTeX
@misc{dantchev2026casimir,
  title = {{Casimir Force, Magnetization, and Susceptibility for \\ Ising Chain with an Impurity Atom in the Presence of an External Field}},
  author = {Daniel Dantchev},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04035},
  eprint = {2610.04035},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04035},
}
RIS
TY  - UNPB
TI  - Casimir Force, Magnetization, and Susceptibility for \\ Ising Chain with an Impurity Atom in the Presence of an External Field
AU  - Daniel Dantchev
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.04035
UR  - https://arxiv.org/abs/2610.04035
AB  - 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.
ER  -