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

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

2010-05-10

arxiv.org/abs/1005.1680v4

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, minor corrections, accepted for publication in Physical Review D

Scientific paper

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 \xi ~ t/N^2 and the cross-correlation length \chi ~ 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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