论文标题
全息限制对广义Rivlin-Ericksen流体的限制
Holographic Constraints on Generalised Rivlin-Ericksen Fluid
论文作者
论文摘要
Rivlin-Ericksen模型是描述非牛顿特性的流体动力学中最古老的模型之一。该模型在二阶带有两个独立的运输。在本文中，我们研究了里夫林 - 厄克森流体的相对论来源。从$ 3+1 $尺寸的相对论Weyl不变的非充电流体开始，我们将其通过轻态方向减少，并在一个较低的尺寸中获得一般的非相关的未充电流体，并在组成型关系中所有可能的二阶项。我们观察到Rivlin-Ericksen流体是我们广义非偏见系统的子类。我们还计算了所有非权利主义二阶传输的全息值，发现其中三个满足了普遍的约束关系。
The Rivlin-Ericksen model is one of the oldest models in fluid dynamics to describe non-Newtonian properties. The model comes with two independent transports at second order. In this paper, we study the relativistic origin of the Rivlin-Ericksen fluid. Starting from a relativistic Weyl invariant uncharged fluid in $3+1$ dimensions, we reduce it over light-cone directions and obtain a generic non-relativistic uncharged fluid in one lower dimension with all possible second order terms in the constitutive relations. We observe that the Rivlin-Ericksen fluid is a subclass of our generalised non-relativistic system. We also compute the holographic values of all the non-relativistic second order transports and find that three of them satisfy a universal constraint relation.
