arXiv 1010.25442010-10astro-ph.SR

白矮星中的双组分带电凝聚体

Two Component Charged Condensate in White Dwarfs

Mehrdad Mirbabayi

备注：: 8 pages, 1 figure; corrected typos
发表信息：: Phys.Lett.B696:13-15,2011
DOI：: 10.1016/j.physletb.2010.12.022

摘要：

在arXiv：0806.3692和arXiv：0904.4267中研究过的白矮星核心内部形成带电自旋0核凝聚体的可能性，将进一步探讨。对于主要由一种元素（氦或碳）组成的核心，已经表明，在凝聚后声子变得有质量，比热下降了大约两个数量级。在这篇文章中，我们通过考虑两种类型的核（氦和碳）的共存来扩展分析，它们的凝聚点一般是不同的。当两个元素都是凝聚态时，我们发展了一个有效场论来描述系统。这种两组分带电凝聚体的涨落谱具有集体无质量模，具有$ω\propto {\bf k}^2$。假设丰度较低的元素所占的比例大于1/100，热历史的变化如下：在第一扇区凝结后，平均比热的不连续性变软，导致冷却变慢，光度函数下降变缓。比热几乎保持恒定，直到第二扇区冷凝，然后开始下降为$T^{3/2}$。

英文摘要：

The possibility of the formation of a condensate of charged spin-0 nuclei inside white dwarf cores, studied in arXiv:0806.3692 and arXiv:0904.4267, is pursued further. It has been shown, for cores composed mainly of one element (Helium or Carbon), that after condensation phonons become massive and the specific heat drops by about two orders of magnitude. In this note we extend that analysis by considering the coexistence of the nuclei of both types (Helium and Carbon), whose condensation points are generically different. An effective field theory is developed to describe the system when both elements are condensed. The spectrum of fluctuations of this two component charged condensate possesses a collective massless mode with $ω\propto {\bf k}^2$. Assuming that the fraction of the less abundant element is greater than about 1/100, the thermal history changes as follows: There is a softer discontinuity in the average specific heat after the condensation of first sector, resulting in slower cooling and a milder drop in luminosity function. The specific heat remains almost constant until the condensation of the second sector, then starts to declines as $T^{3/2}$.

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