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arXiv 1011.6469hep-thgr-qc
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电子星的诞生:非零密度下的连续相变

Electron star birth: A continuous phase transition at nonzero density

Sean A. Hartnoll, Pavel Petrov

摘要:

我们证明了反德西特时空中的带电黑洞在存在带电费米子的情况下,在临界温度下可以发生三级相变。在低温阶段,一小部分电荷由位于距离黑洞有限距离处的费米子流体携带。在零温度极限下,黑洞不再存在,所有的电荷都来自费米子。这些解表现出低温熵密度标度s~T^{2/z},这是从最近讨论的电子星的红外临界性所预测的。

英文摘要:

We show that charged black holes in Anti-de Sitter spacetime can undergo a third order phase transition at a critical temperature in the presence of charged fermions. In the low temperature phase, a fraction of the charge is carried by a fermion fluid located a finite distance from the black hole. In the zero temperature limit the black hole is no longer present and all charge is sourced by the fermions. The solutions exhibit the low temperature entropy density scaling s~T^{2/z} anticipated from the emergent IR criticality of recently discussed electron stars.

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