一级相变与热力学极限
First order phase transitions and the thermodynamic limit
摘要：
我们认为简单的平均场连续模型的一阶液-液分层和固-液相变，并显示如何在相共存的麦克斯韦建设出现在从有限尺寸的封闭系统的热力学极限。考虑的理论是相分离的Cahn-Hilliard模型，这也是一个模型的液体-气体转变，和相场晶体模型的固体-液体转变。我们的研究结果表明，包括麦克斯韦线的状态强烈依赖于平均密度与空间局域化的结构发挥了关键作用，在接近热力学极限。
英文摘要：
We consider simple mean field continuum models for first order liquid-liquid demixing and solid-liquid phase transitions and show how the Maxwell construction at phase coexistence emerges on going from finite-size closed systems to the thermodynamic limit. The theories considered are the Cahn-Hilliard model of phase separation, which is also a model for the liquid-gas transition, and the phase field crystal model of the solid-liquid transition. Our results show that states comprising the Maxwell line depend strongly on the mean density with spatially localized structures playing a key role in the approach to the thermodynamic limit.
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