Evolution of cosmic strings

Details Evolution of cosmic strings Evolution of cosmic strings

Nov 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phdt.........7v&link_type=abstract

Ph.D dissertation, 2005. 98 pages; [Ph. D. United States -- Massachusetts: Tufts University; 2005. Publication Number: AAT 3182

Mathematics

Probability

1

Cosmic Strings, Strings, Infinite Strings, Scaling Laws, Power Spectrum, Expanding Universe

Scientific paper

We investigate the evolution of finite loops and infinite strings as a part of a complete cosmic string network. We give dynamical arguments showing that the structures on infinite strings should obey a scaling law. We perform a simulation of the network which uses functional forms for the string position and thus is exact to the limits of computer arithmetic. The effective box size of our simulation is at least two orders of magnitude larger than what was previously reached. Our results confirm that the wiggles on the strings obey a scaling law described by universal power spectrum. The average distance between long strings also scales accurately with the time. Production functions of string loops do not show scaling. With low intercommutation probability p the true scaling régime is not reached until very late cosmic times, which makes it difficult to simulate such evolutions. Via the expansion of the box technique, we were able to reach scaling with a wide range of p . The physical correlation length shows no dependency on intercommutation probability, while the inter- string distance scales as p 1/3 . Our results suggest that small-scale structures will also scale in an expanding universe, even in the absence of gravitational damping.

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