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arXiv 2008.12893hep-phcond-mat.supr-congr-qc
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深非弹性涡旋散射:head-on collisions的第三个结果

Deep inelastic vortex scattering: A third outcome for head-on collisions

Ethan P. Honda

摘要:

结果提出了从平面空间非线性麦克斯韦-克莱因-戈登方程的数值模拟证明深的非弹性散射的$m=1$涡旋的范围内的金斯堡-朗道(或阿贝尔-希格斯)参数($κ$),影响参数($b$),和初始速度($v_0$)。通过改变$v_0$,研究了正面碰撞($b=0$)的直角散射阈值($v_0^*$)。解服从时间标度定律$T\propto α\ln(v_0-v_0^*) $,具有$κ$依赖的标度指数$α$,并且具有似乎不具有先前报道的上限的$v_0^*$。任意长寿命的静态中间吸引子在临界($v_0=v_0^*$)被观察到是$κ$ -特定的$m=2$涡解。散射角的观察离轴($b\neq 0$)碰撞的广泛的$b$,$v_0$,和$κ$。结果表明,对于任意小的影响参数($b\rightarrow 0$),不稳定的%,但任意长寿命的$κ$依赖的$m=2$“临界”涡是一个中间吸引子和衰减的$κ$ - \emph{independent}散射角的$135^{\circ}$,而不是众所周知的值的$180^{\circ}$或$90^{\circ}$的$b=0$。

英文摘要:

Results are presented from numerical simulations of the flat-space nonlinear Maxwell-Klein-Gordon equations demonstrating deep inelastic scattering of $m=1$ vortices for a range of Ginzburg-Landau (or Abelian-Higgs) parameters ($κ$), impact parameters ($b$), and initial velocities ($v_0$). The threshold ($v_0^*$) of right-angle scattering is explored for head-on ($b=0$) collisions by varying $v_0$. Solutions obey time-scaling laws, $T\propto α\ln(v_0-v_0^*) $, with $κ$-dependent scaling exponents, $α$, and have $v_0^*$ that appear not to have the previously reported upper bound. The arbitrarily long-lived static intermediate attractor at criticality ($v_0=v_0^*$) is observed to be the $κ$-specific $m=2$ vortex solution. Scattering angles are observed for off-axis ($b\neq 0$) collisions for a wide range of $b$, $v_0$, and $κ$. It is shown that for arbitrarily small impact parameters ($b\rightarrow 0$), the unstable %but arbitrarily long-lived $κ$-dependent $m=2$ "critical" vortex is an intermediate attractor and decays with a $κ$-\emph{independent} scattering angle of $135^{\circ}$, as opposed to either of the well-known values of $180^{\circ}$ or $90^{\circ}$ for $b=0$.

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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