Fate of chaotic strings in a confining geometry
Fate of chaotic strings in a confining geometry
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DOI：
10.1103/physrevd.95.066019
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发表时间：
2016-10
影响因子：
5
通讯作者：
T. Ishii;Keiju Murata;Kentaroh Yoshida
中科院分区：
文献类型：
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作者：
T. Ishii;Keiju Murata;Kentaroh Yoshida
我们在不可积弦理论中研究了经典闭弦上的混沌和湍流。以五维反德西特（AdS）孤子时空为目标空间，考虑弦的运动。我们首先使用一个协齐性为1的弦模型来重新审视经典混沌。然后，我们转向湍流行为的经典弦时，弦世界片的空间依赖性。在混沌系统中的初始条件的敏感性表明，在混沌下的字符串往往拉伸的AdS孤子时空中的李雅普诺夫时间尺度。在这个过程中，由于弦上的湍流，轨道角动量转化为内部自旋。因此，弦以杂乱的轮廓围绕AdS孤子的尖端。我们计算了守恒量的谱，并讨论了它们在湍流行为中的普适幂律标度。
We study chaos and turbulence on classical closed strings in nonintegrable string theory. The string motion is considered in the five-dimensional anti-de Sitter (AdS) soliton spacetime taken as the target space. We first revisit classical chaos using a cohomogeneity-1 string ansatz. We then turn to turbulent behaviors of the classical strings when the spatial dependence of the string world sheet is included. Sensitivity to initial conditions in chaotic systems suggests that the string under chaos tends to stretch in the AdS soliton spacetime in a Lyapunov time scale. In this process, the orbital angular momentum transfers to internal spin due to the turbulence on the string. It follows that the string stays around the tip of the AdS soliton with a jumbled profile. We evaluate the spectra of conserved quantities and discuss their universal power-law scalings in the turbulent behaviors.