Thermalization of boosted charged AdS black holes by an ionic lattice
Thermalization of boosted charged AdS black holes by an ionic lattice
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DOI：
10.1103/physrevd.88.066009
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发表时间：
2013-08
影响因子：
5
通讯作者：
A. Ishibashi;Kengo Maeda
中科院分区：
文献类型：
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作者：
A. Ishibashi;Kengo Maeda
我们研究了爱因斯坦-麦克斯韦系统中在存在由空间变化的化学势形成的离子晶格的情况下增强带电 AdS 黑洞的热化过程。我们计算了晶格对黑洞的扰动，并研究了动量弛豫如何通过 umklapp 散射发生。在WKB近似中，解析获得了动量弛豫率和熵产生率，并推导了不可逆过程中的黑洞第一定律。有趣的是，分析和数值计算都表明，除非黑洞的速度为零，否则动量弛豫率或熵产生率在零温度极限下不会接近零。在双场理论方面，这表明即使在零温度极限下也不存在持续电流，这意味着“离子晶格”在强耦合双场理论中并不表现为完美晶格。 PACS 编号：
We investigate thermalization process of boosted charged AdS black holes in the Einstein-Maxwell system in the presence of an ionic lattice formed by spatially varying chemical potential. We calculate perturbations of the black holes by the lattice and investigate how the momentum relaxation occurs through umklapp scattering. In the WKB approximation, both of the momentum relaxation rate and entropy production rate are analytically obtained and the first law of black holes is derived in the irreversible process. Interestingly, both the analytical and numerical calculations show that the momentum relaxation rate or the entropy production rate does not approach zero in the zero temperature limit unless the velocity of the black hole is zero. In the dual field theory side, this indicates that persistent current does not exist even in the zero temperature limit, implying that the “ionic lattice” does not behave as a perfect lattice in a strongly coupled dual field theory. PACS numbers: