The effect of strain on the thermodynamics of the weakly first-order phase transition

The effect of strain on the thermodynamics of the weakly first-order phase transition
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DOI:
10.1088/0953-8984/9/38/002
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发表时间:
1997-09-22
影响因子:
2.7
通讯作者:
Fradkin, MA
Fradkin, MA
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Fradkin, MA

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在相变不变的情况下,对两相相干平衡的热力学进行了分析。考虑了由相变失配应变引起的母相母体变形对Gibbs自由能的弹性贡献。用朗道理论研究了从母相到产物相的相变,相变体积变化与唯象有序参数相耦合。自由能关于体积变化和有序参数的最小化给出了吉布斯能与产物相的体积分数的关系。相变是在有限温度范围内进行的,平衡体积分数依赖于温度,而不是像一级相变的吉布斯相律所期望的那样在固定温度下进行。
The thermodynamics of two-phase coherent equilibrium is analysed in the case of a phase transition without change of composition. The elastic contribution to the Gibbs free energy associated with a distortion of the matrix of the parent phase due to the transformation misfit strain is considered. The phase transition from the parent to the product phase is studied using Landau theory, with the transition volume change being coupled with the phenomenological order parameter. The minimization of the free energy with respect to the volume change and order parameter gives the dependence of the Gibbs energy on the volume fraction of the product phase. The transformation proceeds in a finite-temperature region with the equilibrium volume fraction depending on temperature rather than at a fixed temperature as would be expected from the Gibbs phase rule for the first-order transition.