Nonlinear magnetohydrodynamics from gravity
Nonlinear magnetohydrodynamics from gravity
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DOI：
10.1088/1126-6708/2009/04/048
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发表时间：
2008-11
影响因子：
5.4
通讯作者：
J. Hansen;P. Kraus
中科院分区：
文献类型：
--
作者：
J. Hansen;P. Kraus
我们应用最近建立的非线性流体动力学和AdS引力之间的联系的情况下，在AdS4的双离子黑膜。这就产生了背景磁场中2+1维带电流体的流体动力学方程。在导数展开中构造了二阶引力解。由此，我们发现流体动力学应力张量和电荷流的二阶和三阶导数分别，沿着与相关的输运系数的值。
We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS4. This yields the equations of fluid dynamics for a 2+1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge current to second and third order in derivatives respectively, along with values for the associated transport coefficients.