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Phys. Rev. D 73, 043515 (2006) [6 pages]

Fractal properties and small-scale structure of cosmic string networks

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C. J. A. P. Martins1,2,* and E. P. S. Shellard2,†
1Centro de Física do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal
2Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received 7 December 2005; published 22 February 2006

We present results from a detailed numerical study of the small-scale and loop production properties of cosmic string networks, based on the largest and highest resolution string simulations to date. We investigate the nontrivial fractal properties of cosmic strings, in particular, the fractal dimension and renormalized string mass per unit length, and we also study velocity correlations. We demonstrate important differences between string networks in flat (Minkowski) spacetime and the two very similar expanding cases. For high resolution matter era network simulations, we provide strong evidence that small-scale structure has converged to “scaling” on all dynamical length scales, without the need for other radiative damping mechanisms. We also discuss preliminary evidence that the dominant loop production size is also approaching scaling.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.043515
DOI:
10.1103/PhysRevD.73.043515
PACS:
98.80.Cq, 11.27.+d

*Electronic address: C.J.A.P.Martins@damtp.cam.ac.uk

Electronic address: E.P.S.Shellard@damtp.cam.ac.uk