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arXiv 1602.05770cond-mat.othercond-mat.soft
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量子化涡旋向重联运动的动力学

Dynamics of quantized vortices moving towards reconnection

V. A. Andryushchenko, L. P. Kondaurova, S. K. Nemirovskii

摘要:

本文的主要目标是调查数字的量子化涡环的动力学,在有限温度下的重联之前,当相互摩擦本质上改变线的演变。模型建立在涡丝法的基础上,采用全毕奥-萨伐尔方程。研究发现,涡的初始位置和温度强烈影响两个涡环的尖端之间的最小距离$δ(t)$的时间依赖性。特别是,在某些情况下,涡环的收缩和崩溃,由于相互摩擦发生早于重联,从而取消后者。然而,这种关系采取通用平方根的形式$δ\left(t\right)=\sqrt{\left(κ/2π\right)\left(t_{*}-t\right)}$在距离小于一个,满足施瓦茨准则,当非本地的贡献毕奥-萨伐尔方程变得约等于本地的贡献。在“宇宙”中,涡旋的最近部分形成一个具有角度的类螺旋结构,该角度也不依赖于细丝的初始构型和温度。

英文摘要:

The main goal of this paper is to investigate numerically the dynamics of quantized vortex loops, just before the reconnection at finite temperature, when mutual friction essentially changes evolution of lines. Modeling is performed on the base of vortex filament method with using the full Biot-Savart equation. It was discovered that initial position of vortices and the temperature strongly affect the dependence on time of the minimum distance $δ(t)$ between tips of two vortex loops. In particular, in some cases the shrinking and collapse of vortex loops due to mutual friction occur earlier than reconnection, thereby cancelling the latter. However, this relationship takes a universal square-root form $δ\left(t\right)=\sqrt{\left(κ/2π\right)\left(t_{*}-t\right)}$ at distances smaller than the one, satisfying the Schwarz criterion, when nonlocal contribution to the Biot-Savart equation becomes about equal to local contribution. In the "universal" the nearest parts of vortices form a pyramid-like structure with angles which are also don't depend both on the initial configuration of filaments and on the temperature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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