标题： 相分离超流混合物的涡旋动力学标度 显示英文标题

标题： Dynamic scaling of vorticity in phase-separating superfluid mixtures

摘要： 最近，实验证实，强铁磁$^7$Li原子的玻色-爱因斯坦凝聚态中非平衡相分离动力学遵循惯性流体动力学阶段中属于二元流体普适性类的动态标度律。 本研究从理论和数值上研究了相分离二元超流体混合物中涡量结构因子的动态标度律，该混合物等效于$^7$Li凝聚态在二次塞曼位移的强极限下。 基于数值观测，我们找到了结构因子的动态标度律，即湍流理论的能谱峰值在该阶段不随时间变化。 与自由衰减的湍流类似，我们系统中的能谱也存在幂律层级，我们基于动态标度律，通过引入微观的高波数截止，提出了能量衰减规律。 显示英文摘要

摘要： Recently, it has been experimentally confirmed that non-equilibrium dynamics of phase separation in strongly ferromagnetic Bose-Einstein condensates of $^7$Li atoms obey the dynamic scaling law belonging to the binary-fluid universality class in the inertial hydrodynamic stage. The current work theoretically and numerically studies the dynamic scaling law of structure factor of vorticity in a phase-separating binary superfluid mixture, equivalent to the $^7$Li condensates in a strong limit of quadratic Zeeman shift. We found a dynamic scaling law for the structure factor based on our numerical observation that the peak of the energy spectrum from turbulence theory does not vary in time in the stage. Similarly to freely decaying turbulence, a power-law hierarchy exists in the energy spectrum in our system, and we proposed a decay law of the energy based on the dynamic scaling law by introducing the microscopic, high-wavenumber cutoff.