论文标题
宇宙网络晶体：大规模结构的ISING模型
The Cosmic Web Crystal: Ising model for Large Scale Structures
论文作者
论文摘要
如果暗物质光环具有与固有磁性自旋相当的引力等效，则在平坦的FLRW背景中宇宙网的低红移行为与温度$ t \ propto h（t）$的温度储层中的旋转晶体之间存在形式类比。我们认为，在使用比安奇型IX几何形状来描述物质不均匀性的引力崩溃的过程中，旋转不过是其基本$ SU（2）$对称性的遗产。因此，就像量子力学中的电子一样，这些结构可能独立于其轨道角动量旋转。我们探讨了宇宙网络可能的后期过渡的现象学对宇宙学量表的含义，该宇宙网向（重力等效）一种铁磁状态，在平均场近似中使用ISING模型进行定性描述。
If Dark Matter halos possess the gravitational equivalent of an intrinsic magnetic spin, a formal analogy exists between the low redshift behaviour of the Cosmic Web in a flat FLRW background, and a crystal of spins submerged in a thermal reservoir with temperature $T \propto H(t)$. We argue that, within the use of the Bianchi type IX geometry to describe the gravitational collapse of matter inhomogeneities, the spins are nothing but the heritage of its underlying $SU(2)$ symmetry. Therefore, just like electrons in quantum mechanics, these structures may have spin independently from their orbital angular momentum. We explore the phenomenological implications on cosmological scales of a possible late time phase transition of the Cosmic Web towards (the gravitational equivalent of) a ferromagnetic state, described qualitatively using the Ising model in the mean field approximation.
