arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1010.4030hep-thastro-ph.COcond-mat.str-elhep-ph
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宇宙弦环的形状

Shape of Cosmic String Loops

Craig J Copi, Tanmay Vachaspati

摘要:

复杂的宇宙弦环会碎裂,直到它们达到简单的、不相交的(“稳定”)构型。通过大量的数值研究,我们表征这些吸引子环的形状,包括它们的长度,速度,扭结,和尖点分布。我们发现,一个包含M个谐波模的初始环平均会分裂成3M个稳定环。这些稳定的环近似描述的退化扭结环,这是平面和矩形,独立于初始环上的模式的数量。这是证实了一个稳定的家庭的扰动退化扭结回路的分析建设。平均稳定的循环也被发现有40%的机会包含一个尖点。我们研究了不同长度的稳定回路的性质,发现只有轻微的变化。最后,我们开发了一个新的解析格式来显式求解弦约束方程。

英文摘要:

Complicated cosmic string loops will fragment until they reach simple, non-intersecting ("stable") configurations. Through extensive numerical study we characterize these attractor loop shapes including their length, velocity, kink, and cusp distributions. We find that an initial loop containing M harmonic modes will, on average, split into 3M stable loops. These stable loops are approximately described by the degenerate kinky loop, which is planar and rectangular, independently of the number of modes on the initial loop. This is confirmed by an analytic construction of a stable family of perturbed degenerate kinky loops. The average stable loop is also found to have a 40% chance of containing a cusp. We examine the properties of stable loops of different lengths and find only slight variation. Finally we develop a new analytic scheme to explicitly solve the string constraint equations.

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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