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arXiv 1005.1680hep-thastro-ph.COgr-qchep-ph
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具有非标度环的宇宙弦的非线性动力学

Non-linear dynamics of cosmic strings with non-scaling loops

Vitaly Vanchurin

摘要:

在早期阶段,宇宙弦网络的动力学预计会受到在初始条件l_{min}尺度上产生过多小环的影响。为了理解后期的行为,我们提出了一个非常简单的分析模型的字符串与非标度人口的循环。复杂的非线性动力学仅用一个参数N ~ 2/(1-C(l_{min}))来描述,其中C(1)是弦切向量的关联函数。该模型预测了两个新的长度尺度的出现:相干长度τ ~ t/N^2和互相关长度χ~ t/N。在演化开始时,N ~ 10,在演化后期,由于宇宙学的拉伸和小环的发射,N预计会以几何学的方式增长。当引力反作用尺度大于l_{min}时,极晚期的时间演化可能被进一步修正。

英文摘要:

At early stages the dynamics of cosmic string networks is expected to be influenced by an excessive production of small loops at the scales of initial conditions l_{min}. To understand the late time behavior we propose a very simple analytical model of strings with a non-scaling population of loops. The complicated non-linear dynamics is described by only a single parameter N ~ 2/(1-C(l_{min})) where C(l) is a correlation function of the string tangent vectors. The model predicts an appearance of two new length scales: the coherence length ξ~ t/N^2 and the cross-correlation length χ~ t/N. At the onset of evolution N ~ 10 and at late times N is expected to grow logarithmically due to cosmological stretching and emission of small loops. The very late time evolution might be modified further when the gravitational back-reaction scale grows larger than l_{min}.

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