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arXiv 1503.07148hep-th
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具有非零电荷密度或外磁场的强耦合非阿贝尔等离子体的远离平衡动力学

Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field

John F. Fuini, Laurence G. Yaffe

摘要:

利用全息术研究了具有非零电荷密度或背景磁场的空间均匀、远离平衡态、强耦合N=4超对称杨-米尔斯等离子体的演化。这个规范理论问题在对偶引力描述中对应于爱因斯坦-麦克斯韦理论中具有均匀但各向异性初始条件的初值问题。我们探讨的依赖性的平衡过程中的初始偏离平衡的不同方面,同时控制这些依赖性,研究如何平衡动力学的影响的存在下,一个非零的电荷密度或外部磁场。平衡动力学对甚至大的化学势或磁场的加入都非常不敏感;平衡时间主要由初始偏离平衡的形式来确定。对于初始偏离平衡,以及本地化的规模,我们制定了一个简单的模型的平衡时间,同意我们的结果。

英文摘要:

Using holography, we study the evolution of a spatially homogeneous, far from equilibrium, strongly coupled N=4 supersymmetric Yang-Mills plasma with a non-zero charge density or a background magnetic field. This gauge theory problem corresponds, in the dual gravity description, to an initial value problem in Einstein-Maxwell theory with homogeneous but anisotropic initial conditions. We explore the dependence of the equilibration process on different aspects of the initial departure from equilibrium and, while controlling for these dependencies, examine how the equilibration dynamics are affected by the presence of a non-vanishing charge density or an external magnetic field. The equilibration dynamics are remarkably insensitive to the addition of even large chemical potentials or magnetic fields; the equilibration time is set primarily by the form of the initial departure from equilibrium. For initial deviations from equilibrium which are well localized in scale, we formulate a simple model for equilibration times which agrees quite well with our results.

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