Holographic Hydrodynamics with a Chemical Potential

Holographic Hydrodynamics with a Chemical Potential
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DOI:
10.1088/1126-6708/2009/06/006
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发表时间:
2009-03
影响因子:
5.4
通讯作者:
R. Myers;M. Paulos;Aninda Sinha
R. Myers;M. Paulos;Aninda Sinha
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Myers;M. Paulos;Aninda Sinha

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我们考虑五维重力耦合到一个负的宇宙常数和一个单一的U(1)规范场,包括一个四导数相互作用的一般集合。在此框架下,我们构造了带电平面AdS黑洞的微扰解,并考虑了双CFT中等离子体的热学和流体力学性质。特别地,我们计算了剪切粘度与熵密度的比值,并认为在化学势的存在下,KSS束缚的违反增强了。我们还计算了电导率,并评论了与该系数有关的各种推测界限。
We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions perturbatively and consider the thermal and hydrodynamic properties of the plasma in the dual CFT. In particular, we calculate the ratio of shear viscosity to entropy density and argue that the violation of the KSS bound is enhanced in the presence of a chemical potential. We also compute the electrical conductivity and comment on various conjectured bounds related to this coefficient.