AI 中文总结
该研究通过耦合点状涡旋与U(1)规范场的对偶规范理论，揭示二维超流体湍流呈现逆能量级联，其动能级联等价于对偶电场能量级联，符合柯尔莫哥洛夫标度律。
AI 中文摘要
我们通过点状涡旋与涌现的2+1维U(1)规范场耦合的动力学，描述二维空间中超流体的湍流流体动力学。超流体动能的级联等价于对偶电场能量的级联。我们在驱动和耗散存在的情况下，利用对偶规范理论的运动方程研究超流体湍流。在涡旋为点状的极限下，对偶运动方程直接给出超流体的流体动力学方程。我们得到与二维流体湍流的柯尔莫哥洛夫标度律一致的湍流级联。我们观察到同号涡旋的聚类，并计算动能通量，表明该湍流区域呈现逆能量级联。
英文摘要
We describe turbulent hydrodynamics of superfluids in two spatial dimensions via the dynamics of point-like vortices coupled to an emergent 2+1 dimensional $U(1)$ gauge field. The cascade of superfluid kinetic energy is equivalently described by a cascade of dual electric field energies. We study superfluid turbulence using the equations of motion of the dual gauge theory in the presence of a drive and dissipation. In the limit that the vortices are point-like, the dual equations of motion directly yield the hydrodynamical equations of the superfluid. We obtain a turbulent cascade consistent with Kolmogorov's scaling law for two dimensional fluid turbulence. We observe clustering of like-signed vortices and compute the kinetic energy flux to show that the turbulent regime exhibits an inverse energy cascade.
Comments7 pages, 4 figures, plus supplemental material
