论文标题

旧相残留的一阶相变

Old Phase Remnants in First Order Phase Transitions

论文作者

Lu, Philip, Kawana, Kiyoharu, Xie, Ke-Pan

论文摘要

一阶相变(FOPT)通常通过旧相背景中新相气泡的成核和扩展来描述。尽管已经对新相气泡的动力学进行了广泛的研究,但对旧相残留物的综合处理仍未开发。我们为FOPT中的残留统计数据提供了一种新的形式主义,并对其分布进行了第一个分析计算。通过转移到反向时间描述,我们可以通过扩大旧相气泡的扩展来确定缩小的残留物,从而允许定量演化和人口统计数据的确定。我们的结果不仅为宇宙学诱导的孤子/原始黑洞形成方案提供了必不可少的输入,而且还可以很容易地应用于通用FOPT。

First order phase transitions (FOPTs) are usually described by the nucleation and expansion of new phase bubbles in the old phase background. While the dynamics of new phase bubbles have been extensively studied, a comprehensive treatment of the shrinking old phase remnants remained undeveloped. We present a novel formalism for remnant statistics in FOPTs and perform the first analytical calculations of their distribution. By shifting to the reverse time description, we identify the shrinking remnants with expanding old phase bubbles, allowing a quantitative evolution and determination of the population statistics. Our results not only provide essential input for cosmological FOPT-induced soliton/primordial black hole formation scenarios, but can also be readily applied to generic FOPTs.

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