论文标题
量子涡流的灭绝量涡流涡流方程模型
Annihilation Process of Quantum Vortices in Dissipative Gross-Pitaevskii Equation Model
论文作者
论文摘要
在二维超流体中，通过数值模拟在耗散性毛线 - 彼得斯基方程（GPE）模型中通过数值模拟研究了涡旋的歼灭过程。首先，获得量子涡流溶液并找到其拟合函数。其次，模拟表明，正面和负涡旋在两个方向上都加速，直到它们歼灭成孤子，然后再灭绝新月形的冲击波。发现这些过程由耗散参数和一般的马格努斯力控制。对于涡流d（t）之间的分离距离的行为，找到了一个通用缩放指数1/2，与三维情况相同。第三，令人惊讶的是，系统的能量是由系统的配置确定的，并获得了它们的关系。然后，我们得出一般的马格努斯力，该力随着大d（t）的d（t）增加而降低，并且在小d（t）中随着d（t）的增加而增加。
In two dimensional superfluid, annihilation processes of vortices are investigated by numerical simulation within the dissipative Gross-Pitaevskii equation (GPE) model. First, quantum vortex solution is obtained and its fitting function is found. Second, the simulation show that positive and negative vortices accelerate in both x,y directions, until they annihilate into a soliton and then a crescent-shaped shock wave. The processes are found to be controlled by the dissipative parameter and the general Magnus force. For the behavior of separation distance between vortices d(t), an universal scaling exponent 1/2 is found which is same with the three dimensional cases. Third, system's energy is surprisingly found to be determined by system's configuration and their relation are obtained. Then we derive the general Magnus force which decreases with the increases of d(t) for large d(t) and increases with the increases of d(t) for small d(t).
