Bjorken流的Carrollian起源
Carrollian Origins of Bjorken Flow
AI总结:
本研究揭示Bjorken流的Carrollian起源,证明光速运动流体因约束于零曲面而继承Carroll对称性,说明Carrollian流体力学具有普遍性,为近光速流体研究提供新框架。
摘要:
Bjorken流是流体以接近光速($c$)运动的最简模型之一,而Carroll对称性是当$c \to 0$时庞加莱群收缩产生的对称性。我们证明Bjorken流及其唯象近似可完全由Carrollian流体描述。Carroll对称性普遍存在于各类零曲面上,以光速$c$运动的流体被约束在这类曲面上,因此自然继承了该对称性。由此可见,Carrollian流体力学并非奇异理论,而是普遍存在的,为以光速或接近光速运动的流体提供了具体的研究框架。
英文摘要:
Bjorken flow is among the simplest models of fluids moving near the speed of light ($c$) while Carroll symmetry arises as a contraction of Poincaré group when $c \to 0$. We show that Bjorken flow and its phenomenological approximations are completely captured by Carrollian fluids. Carrollian symmetries arise on generic null surfaces and a fluid moving at $c$ is restricted to such a surface, thereby naturally inheriting the symmetries. Carrollian hydrodynamics is thus not exotic, but rather ubiquitous, and provides a concrete framework for fluids moving at or near the speed of light.
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