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

Understand

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.