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We compute the one-point probability distribution function of small-angle cosmic microwave background temperature fluctuations due to curved cosmic (super-)strings with a simple model of string network by performing Monte Carlo simulations.…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Daisuke Yamauchi , Yuuiti Sendouda , Chul-Moon Yoo , Keitaro Takahashi , Atsushi Naruko , Misao Sasaki

We study the spectrum of loops as a part of a complete network of cosmic strings in flat spacetime. After a long transient regime, characterized by production of small loops at the scale of the initial conditions, it appears that a true…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Vitaly Vanchurin , Ken D. Olum , Alexander Vilenkin

The one-dimensional (1D) tight binding model with random nearest neighbor hopping is known to have a singularity of the density of states and of the localization length at the band center. We study numerically the effects of random long…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chenggang Zhou , R. N. Bhatt

Loops formed from a cosmic string network at early times would act as seeds for early formation of halos, which would form galaxies and lead to early reionization. With reasonable guesses about astrophysical and string parameters, the…

Astrophysics · Physics 2009-11-11 Ken D. Olum , Alexander Vilenkin

We set up and analyse a model for the non-equilibrium evolution of a network of cosmic strings initially containing only loops and no infinite strings. Due to this particular initial condition, our analytical approach differs significantly…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. J. Copeland , T. W. B. Kibble , D. A. Steer

We examine the scaling properties of an evolving network of strings in Minkowski spacetime and study the evolution of length scales in terms of a 3-scale model proposed by Austin, Copeland and Kibble (ACK). We find good qualitative and some…

Astrophysics · Physics 2008-11-26 Graham R. Vincent , Mark Hindmarsh , Mairi Sakellariadou

We develop velocity-dependent models describing the evolution of string networks that involve several types of interacting strings, each with a different tension. These incorporate the formation of Y-type junctions with links stretching…

Astrophysics · Physics 2014-11-18 A. Avgoustidis , E. P. S. Shellard

We develop a semi-analytical model to describe the cosmological evolution of networks of cosmic strings with small-scale structure, by extending the velocity-dependent one-scale model to include an additional lengthscale describing the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Teresa O. Miranda , Lara Sousa

The dynamics of string junctions and their influence on the evolution of cosmic superstring networks are studied in full detail. We review kinematic constraints for colliding strings in a Friedmann-Lema\^itre-Robertson-Walker background and…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-27 I. Yu. Rybak , A. Avgoustidis , C. J. A. P. Martins

Cosmic (super)strings offer promising ways to test ideas about the early universe and physics at high energies. While in field theory constructions their tension is usually assumed to be constant (or at most slowly-varying), this is often…

High Energy Physics - Phenomenology · Physics 2025-05-08 Filippo Revello , Gonzalo Villa

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

Statistical Mechanics · Physics 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

We consider the evolution of a network of strings in an expanding universe, allowing for the formation of junctions between strings of different tensions. By explicitly including, in the velocity-dependent evolution equations for the…

High Energy Physics - Phenomenology · Physics 2010-04-06 A. Avgoustidis , E. J. Copeland

Numerical simulations of Nambu-Goto cosmic strings in an expanding universe show that the loop distribution relaxes to an universal configuration, the so-called scaling regime, which is of power law shape on large scales. Precise…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-13 Pierre Auclair , Christophe Ringeval , Mairi Sakellariadou , Daniele Steer

We report on a large scale numerical study of networks of semilocal cosmic strings in flat space in the parameter regime in which they are perturbatively stable. We find a population of segments with an exponential length distribution and…

Astrophysics · Physics 2008-11-26 A. Achucarro , P. Salmi , J. Urrestilla

We introduce an evolving network model in which a new node attaches to a randomly selected target node and also to each of its neighbors with probability $p$. The resulting network is sparse for $p<\frac{1}{2}$ and dense (average degree…

Physics and Society · Physics 2016-11-23 R. Lambiotte , P. L. Krapivsky , U. Bhat , S. Redner

We perform the numerical field evolution for the collision of two Abelian type I cosmic strings. We present evidence that, for collisions at small but characteristic relative velocities and angles, these cosmic strings do not exchange ends…

High Energy Physics - Phenomenology · Physics 2009-10-30 Luis M. A. Bettencourt , Pablo Laguna , Richard A. Matzner

The evolution of cosmic string networks is an interesting dynamical problem. The equations governing these networks are classical and fully specified, but the length scale at which cosmic string loops form has been uncertain to tens of…

Astrophysics · Physics 2009-06-23 Joseph Polchinski

We develop methods by which cosmic superstring interactions can be studied in detail. These include the reconnection probability and emission of radiation such as gravitons or small string loops. Loop corrections to these are discussed, as…

High Energy Physics - Theory · Physics 2009-11-18 Mark G. Jackson

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Carl Herrmann , Marc Barthelemy , Paolo Provero

We analytically derive the expected number density distribution of Nambu-Goto cosmic string loops at any redshift soon after the time of string formation to today. Our approach is based on the Polchinski-Rocha model of loop formation from…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-21 Larissa Lorenz , Christophe Ringeval , Mairi Sakellariadou