We present a method for the calculation of the gravitational back-reaction cutoff on the smallest scales of cosmic string networks taking into account that not all modes on strings interact with all other modes. This results in a small scale structure cutoff that is sensitive to the initial spectrum of perturbations present on strings. From a simple model, we compute cutoffs in radiation- and matter-dominated universes which are much smaller than the results usually presented in the literature.
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Siemens et al. (2002) studied this question.
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