Abstract The Ising one-dimensional (1D) chain with spin S = 1 / 2 and magnetoelastic interaction is studied with the lattice contribution included in the form of elastic interaction and thermal vibrations simultaneously taken into account. The magnetic energy term and the elastic (static) energy term based on the Morse potential are calculated exactly. The vibrational energy is calculated in the Debye approximation, in which the anharmonicity is introduced by the Gruneisen parameter. The total Gibbs potential, including both the magnetic field, as well as the external force term, is constructed and from its minimum the equation of state is derived. From the Gibbs energy all the thermodynamic properties are calculated in a self-consistent manner. The comprehensive numerical calculations are performed in a full temperature range, i.e., from zero temperature up to the vicinity of melting. In particular, a role of magneto-elastic coupling is emphasized and examined. The numerical results are illustrated in figures and discussed.

中文翻译：

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具有磁弹性相互作用的一维Ising模型的热力学性质

摘要 研究了自旋 S = 1 / 2 和磁弹性相互作用的 Ising 一维 (1D) 链，同时考虑了以弹性相互作用和热振动形式包含的晶格贡献。精确计算基于莫尔斯势的磁能项和弹性（静态）能项。在 Debye 近似中计算振动能量，其中非谐性由 Gruneisen 参数引入。构建了包括磁场和外力项在内的总吉布斯势，并从其最小值推导出状态方程。根据吉布斯能量，所有热力学性质都以自洽的方式计算。在全温度范围内进行综合数值计算，即，从零温度到熔化附近。特别是，强调和研究了磁弹性耦合的作用。数值结果在图中进行了说明和讨论。