论文标题
在非平衡层流下方的二维中自发对称性破裂
Spontaneous symmetry breaking in two dimensions under nonequilibrium laminar flows
论文作者
论文摘要
我们在二维中研究远程顺序，其中层流量（例如旋转，剪切和伸长式流）呈现顺序参数。在这些流程下，我们分析了$ O（n）$标量模型的有序状态。我们表明有序状态的稳定性取决于流动模式。剪切和伸长流量稳定了远程顺序，但旋转流量却没有。我们通过基于量子力学中使用的相互作用表示形式连接波动及其动力学的静态相关性来讨论结果的物理机制。我们发现，对流运输会在剪切和伸长流动下引起超级延伸，从而稳定远距离顺序。
We study the long-range order in two dimensions where an order parameter is advected by laminar flows such as rotational, shear, and elongational flows. Under these flows, we analyze an ordered state of the $O(N)$ scalar model in the large-$N$ limit. We show that the stability of the ordered state depends on the flow pattern; shear and elongational flows stabilize the long-range order but rotational flow does not. We discuss the physical mechanism underlying our results by connecting static correlations of fluctuations and their dynamics based on the interaction representation used in quantum mechanics. We find that advective transport induces superdiffusion under shear and elongational flows, thereby stabilizing the long-range order.
