论文标题
具有磁弹性相互作用的一维iSing模型的热力学特性
Thermodynamic properties of the one-dimensional Ising model with magnetoelastic interaction
论文作者
论文摘要
研究了具有自旋$ s = 1/2 $的ISIN一维链（1D）链和磁弹性相互作用，并以同时考虑的弹性相互作用和热振动的形式包含的晶格贡献。精确计算基于摩尔斯电势的磁能项和弹性（静态）能量项。振动能在Debye近似中计算出来，其中Gr {ü} Neisen参数引入了呼吸道。构建了包括磁场以及外力项在内的总Gibbs电位，并从其最小值中得出了状态方程。 从吉布斯能量中，所有热力学特性都是以自洽的方式计算的。全面的数值计算是在整个温度范围内进行的，即从零温度到熔化附近。特别是，强调和检查了磁弹性耦合的作用。数值结果如图所示并讨论了。
The Ising one-dimensional (1D) chain with spin $S=1/2$ and magnetoelastic interactions 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 Gr{ü}neisen 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.
