By C.J.A.P. Martins
This ebook sheds new mild on topological defects in generally differing platforms, utilizing the Velocity-Dependent One-Scale version to higher comprehend their evolution. Topological defects – cosmic strings, monopoles, area partitions or others - inevitably shape at cosmological (and condensed topic) section transitions. in the event that they are strong and long-lived they are going to be fossil relics of higher-energy physics. figuring out their behaviour and outcomes is a key a part of any critical try to comprehend the universe, and this calls for modelling their evolution. The velocity-dependent one-scale version is the one absolutely quantitative version of disorder community evolution, and the canonical version within the box. This e-book presents a evaluate of the version, explaining its actual content material and describing its extensive diversity of applicability.
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Additional resources for Defect Evolution in Cosmology and Condensed Matter: Quantitative Analysis with the Velocity-Dependent One-Scale Model
In other words, in the case σd < 2σe (which corresponds to ε > 0) we have only Y-type stable junctions, while for σd > 2σe (which occurs for ε < 0) only X-type stable junctions will be formed. There are two values of εr 2 for which σd = 2σe : εr 2 = 0 and εr 2 = −1. Thus for εr 2 > 0 and εr 2 < −1 Y-type junctions are favored while for −1 < εr 2 < 0 X-type junctions are preferred. In passing, we note that the parameter ε determines not only the ratio of the energies in the two sectors, but also influences, among other things, how fast the unstable junctions will decay into the stable ones.
14. 15. 16. 17. 18. P. S. Shellard, Phys. Rev. P. Y. Rybak, A. S. Shellard, Phys. Rev. D 93, 043534 (2016) T. W. B. Kibble, Nucl. Phys. B252, 227 (1985). P. S. Shellard, Phys. Rev. D 65, 043514 (2002) T. E. Everett, A. Vilenkin, Phys. Rev. P. P. E. Oliveira, Phys. Rev. P. Martins, Phys. Rev. B. Zel’dovich, I. B. Okun, Soviet Phys. JETP, 40, 1 (1975) A. S. H. S. N. Spergel, Ap. J. M. P. Martins, Phys. Rev. M. P. S. Shellard, Phys. Lett. B 718, 740 (2013) M. N. Spergel, Phys. Rev. P. P. Martins, J.
18. P. S. Shellard, Phys. Rev. P. Y. Rybak, A. S. Shellard, Phys. Rev. D 93, 043534 (2016) T. W. B. Kibble, Nucl. Phys. B252, 227 (1985). P. S. Shellard, Phys. Rev. D 65, 043514 (2002) T. E. Everett, A. Vilenkin, Phys. Rev. P. P. E. Oliveira, Phys. Rev. P. Martins, Phys. Rev. B. Zel’dovich, I. B. Okun, Soviet Phys. JETP, 40, 1 (1975) A. S. H. S. N. Spergel, Ap. J. M. P. Martins, Phys. Rev. M. P. S. Shellard, Phys. Lett. B 718, 740 (2013) M. N. Spergel, Phys. Rev. P. P. Martins, J. Menezes, R. E.