论文标题
在量子流体中涡旋重新连接期间表征声音发射的匹配理论
A matching theory to characterize sound emission during vortex reconnection in quantum fluids
论文作者
论文摘要
在同时工作中，Villois等人。 2020年报道了量子流体中的涡流重新连接遵循不可逆的动力学，即涡旋的速度比它们接近的速度快。通过使用简单的保护参数来解释这种时间 - 对称性。在这项工作中，我们进一步开发了这些理论考虑，并为订单参数（Superfluid）波函数的所有可能的几何配置提供了对Vortex重新连接过程的详细研究。通过匹配不可压缩的涡旋细丝的理论描述以及描述局部涡旋重新连接的线性理论，我们在定量地确定了不可压缩的（涡旋）和可压缩的（密度波）之间的线性动量和能量交换。我们在理论上和证实了数字上的证实，为什么必须在重新连接过程后产生单向密度脉冲，以及为什么只允许某些与方法和分离率有关的重新连接角度。最后，讨论了有关在重新连接过程中中心线螺旋性保护的某些方面。
In a concurrent work, Villois et al. 2020 reported the evidence that vortex reconnections in quantum fluids follow an irreversible dynamics, namely vortices separate faster than they approach; such time-asymmetry is explained by using simple conservation arguments. In this work we develop further these theoretical considerations and provide a detailed study of the vortex reconnection process for all the possible geometrical configurations of the order parameter (superfluid) wave function. By matching the theoretical description of incompressible vortex filaments and the linear theory describing locally vortex reconnections, we determine quantitatively the linear momentum and energy exchanges between the incompressible (vortices) and the compressible (density waves) degrees of freedom of the superfluid. We show theoretically and corroborate numerically, why a unidirectional density pulse must be generated after the reconnection process and why only certain reconnecting angles, related to the rates of approach and separations, are allowed. Finally, some aspects concerning the conservation of centre-line helicity during the reconnection process are discussed.
