Mapping two-dimensional polar active fluids to two-dimensional soap and one-dimensional sandblasting
Mapping two-dimensional polar active fluids to two-dimensional soap and one-dimensional sandblasting
复制标题
将二维极性活性液体映射到二维肥皂和一维喷砂
作者：
Chen Leiming;Lee Chiu Fan;Toner John
活性流体和生长界面是两个研究得很好但非常不同的非平衡系统。每一种都表现出不同于平衡态的非平衡态行为。在这里，我们证明了这两个之间的一个令人惊讶的连接：。有序相的不可压缩极性活性流体在两个空间维度。没有动量守恒，并不断增长的一维接口（即.111维Kardar-Parisi-Zhang方程），实际上属于同一个普适性。类。这个普适类还包括两个平衡系统：二维近晶液晶和一种特殊的约束二维铁磁体.我们利用这些联系来说明二维不可压缩群对涨落是鲁棒的，并表现出这些涨落的普适长程各向异性时空关联.我们还由此确定表征这些相关性的各向异性指数z和粗糙度指数wx，y的精确值。
Active fluids and growing interfaces are two well-studied but very different non-equilibrium.systems. Each exhibits non-equilibrium behaviour distinct from that of their.equilibrium counterparts. Here we demonstrate a surprising connection between these two:.the ordered phase of incompressible polar active fluids in two spatial dimensions.without momentum conservation, and growing one-dimensional interfaces (that is, the.1þ1-dimensional Kardar–Parisi–Zhang equation), in fact belong to the same universality.class. This universality class also includes two equilibrium systems: two-dimensional smectic.liquid crystals, and a peculiar kind of constrained two-dimensional ferromagnet.We use these.connections to show that two-dimensional incompressible flocks are robust against.fluctuations, and exhibit universal long-ranged, anisotropic spatio-temporal correlations of.those fluctuations. We also thereby determine the exact values of the anisotropy exponent z.and the roughness exponents wx,y that characterize these correlations.