论文标题

自由能中的奇异性:Lee-Yang理论

Singularities in Free Energy: Lee-Yang Theory

论文作者

Akhtar, Shoaib

论文摘要

当对受控参数平稳调节时,相位转变与系统的某些可观察到的(有序参数)的急剧变化有关。讨论了Lee-Yang的相变理论,这与自由能的奇异性的积累,Grand分区函数的同等复杂根(分区函数)相关,该函数(分区函数)在正面真实轴上在复杂的散型平面上的正面;讨论了更通用的(p+1)相系统,当(W+2)相共存时,也是如此。还提出了与Mayer的理论进行比较。

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation of singularities of free energy, equivalently complex roots of Grand Partition function (Partition function) at points on positive real axis in complex fugacity plane; and more general (p+1) phase system is discussed, and also the case when (w+2) phases coexist together. Comparison to Mayer's theory is also presented.

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