Holographic constraints on generalized Rivlin-Ericksen fluid

Suvankar Dutta, Taniya Mandal, Sanhita Parihar
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引用次数: 1

Abstract

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.
广义Rivlin-Ericksen流体的全息约束
Rivlin-Ericksen模型是流体动力学中最古老的描述非牛顿性质的模型之一。该模型具有两个独立的二阶传输。本文研究了Rivlin-Ericksen流体的相对论起源。从$3+1$维的相对论Weyl不变不带电流体出发,在光锥方向上对其进行约简,得到了具有本构关系中所有可能二阶项的低维非相对论不带电流体。我们观察到Rivlin-Ericksen流体是广义非相对论系统的一个子类。我们还计算了所有非相对论性二阶输运的全息值,发现其中三个输运满足普适约束关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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