标题： 从Chamblin-Reall引力中的强制非共形流体动力学 显示英文标题

标题： Forced non-conformal fluid dynamics from the Chamblin-Reall gravity

摘要： 查姆布林-雷尔引力通常通过维度约化得到。 已经证明，完全可解的查姆布林-雷尔模型只能有一个背景标量场，它们是维度约化的紧致AdS黑洞，约化的Dp膜/紧致Dp膜，以及约化的模糊Dp膜。 当一个标量探测器被手动引入查姆布林-雷尔引力的作用量中，其边界极限是一个坐标依赖的耦合常数，这种变化的耦合常数的梯度将作为有效力作用于边界上的相对论流体。 因此，流体的动力学将受到该力的影响。 我们将使用流体/引力对应关系来推导与边界耦合相关的输运系数，并以该耦合的梯度形式给出力项的显式表达式。 显示英文摘要

摘要： The Chamblin-Reall gravity is usually obtained by dimensional reduction. It has been shown that the completely solvable Chamblin-Reall models can only have one background scalar field, which are the dimensionally reduced compactified AdS black hole, the reduced Dp-brane/compactified Dp-brane, and the reduced smeared Dp-brane. When a scalar probe is manually introduced into the action of Chamblin-Reall gravity, whose boundary limit is a coordinate-dependent coupling constant, the gradients of this varying coupling will act as an effective force exerting on the relativistic fluid at the boundary. Thus the dynamics of the fluid will be affected by the force. We will use the fluid/gravity correspondence to derive the transport coefficients related to the boundary coupling and give the explicit expression for the forcing term in the form of the gradients of that coupling.