2005
DOI: 10.1103/physrevd.72.063514
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Cosmic string scaling in flat space

Abstract: We investigate the evolution of infinite strings as a part of a complete cosmic string network in flat space. 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. 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. These results suggest that small-scale structure will also scale in … Show more

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Cited by 62 publications
(108 citation statements)
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“…Several early studies [63,65,73,74] suggested that α should be smaller than (or close to) the gravitational back-reaction scale α ΓGµ, while more recent studies [75][76][77][78][79] suggest scales much closer -albeit 1 to 3 orders of magnitude smaller -to the characteristic lengthscale of the network. There are also recent studies which indicate that string loops might be formed with lengths similar to the string thickness [80][81][82].…”
Section: A Cosmic String Loop Emissionmentioning
confidence: 99%
“…Several early studies [63,65,73,74] suggested that α should be smaller than (or close to) the gravitational back-reaction scale α ΓGµ, while more recent studies [75][76][77][78][79] suggest scales much closer -albeit 1 to 3 orders of magnitude smaller -to the characteristic lengthscale of the network. There are also recent studies which indicate that string loops might be formed with lengths similar to the string thickness [80][81][82].…”
Section: A Cosmic String Loop Emissionmentioning
confidence: 99%
“…In order to derive the detection probability we must derive first the number of string inside the particle horizon which is model dependent. If we restrict ourselves to long strings alone we can use the value derived by [20] ( 10 3 ÷ 10 4 ).…”
Section: The Number Of Cosmic Strings and The Probability Of Their Obmentioning
confidence: 99%
“…Cosmic strings are expected to move relativistically, β ∼ O(1) [1]; following [19,39], we use β ⊥ = 0.3 in subsequent calculations 2 . Since we assume that the source is lensed by at most one string, conditions in the argument of (6) require that the center of the source is inside the strip by a margin of at least the source size r ⊥ = R ⊥ /Dos (R ⊥ is its linear size) on the first observation and outside it by the same margin on the second epoch:…”
Section: Model: Probability As a Function Of Strings Populationmentioning
confidence: 99%
“…Analytical calculations and numerical simulations indicate that string networks, soon in the course of their evolution, can reach a scaling behavior where a typical distance between the strings increases in proportion to the horizon scale d h [4][5][6][7][8][9][10]. This corresponds to the density of strings ρ decreasing with redshift z as ρ(z) ∝ d −2 h (z) although one should keep in mind that these results were obtained for radiation-and matter-dominated eras with no contribution from the vacuum energy.…”
Section: Introductionmentioning
confidence: 99%