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The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Jezewski

Topological defects form at cosmological phase transitions by the Kibble mechanism, with cosmic strings and superstrings having the most interesting phenomenology. A rigorous analysis of their astrophysical consequences is limited by the…

Computational Physics · Physics 2020-06-05 J. R. C. C. C. Correia , C. J. A. P. Martins

The dynamical evolution of superconducting cosmic string loops with specific equations of state describing timelike and spacelike currents is studied numerically. This analysis extends previous work in two directions: first it shows results…

High Energy Physics - Phenomenology · Physics 2009-11-07 Adriana Cordero-Cid , Xavier Martin , Patrick Peter

If the Universe underwent a cosmic phase transition, it may have left behind a network of cosmic strings. When these strings arise from the breaking of a gauge symmetry, their decay produces a significant stochastic background of…

High Energy Physics - Phenomenology · Physics 2026-04-17 Jeff A. Dror , Antonios Kyriazis

We present the first complete Markov chain Monte Carlo analysis of cosmological models with evolving cosmic (super)string networks, using the unconnected segment model in the unequal-time correlator formalism. For ordinary cosmic string…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Tom Charnock , Anastasios Avgoustidis , Edmund J. Copeland , Adam Moss

The current expansion of the Universe has been observed to be accelerating, and the widely accepted spatially-flat concordance model of general relativistic cosmology attributes this phenomenon to a constant dark energy, a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-13 Shulei Cao

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 study cosmological solutions to the low-energy effective action of heterotic string theory including possible leading order $\alpha'$ corrections and a potential for the dilaton. We consider the possibility that including such stringy…

High Energy Physics - Theory · Physics 2007-05-23 Damien A. Easson

The quasi-static solutions of the matter density perturbation in various dark energy models and modified gravity models have been investigated in numerous papers. However, the oscillating solutions in those models have not been investigated…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-18 Jiro Matsumoto

Cosmic strings provide a radically different paradigm for the formation of structure to the prevailing inflationary one. They afford some extra technical complications: for example, the calculation of the power spectrum of matter and…

Astrophysics · Physics 2007-05-23 Mark Hindmarsh , Mairi Sakellariadou , Graham R. Vincent

In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Barthelemy

The conditions for the existence and stability of cosmological power-law scaling solutions are established when the Einstein-Hilbert action is modified by the inclusion of a function of the Gauss-Bonnet curvature invariant. The general form…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Kotub Uddin , James E. Lidsey , Reza Tavakol

Based on the mathematical model of a statistical system with scalar interaction of fermions formulated earlier, a cosmological model based on a two-component statistical system of scalar charged degenerate fermions interacting with an…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Yu. G. Ignat'ev , A. A. Agathonov , D. Yu. Ignatyev

We study the evolution of non-periodic cosmic string loops containing Y-junctions, such as may form during the evolution of a network of (p,q) cosmic superstrings. We set up and solve the Nambu-Goto equations of motion for a loop with…

High Energy Physics - Theory · Physics 2010-01-07 Neil Bevis , Edmund J. Copeland , Pierre-Yves Martin , Gustavo Niz , Alkistis Pourtsidou , Paul M. Saffin , D. A. Steer

We study string propagation in an anisotropic, cosmological background. We solve the equations of motion and the constraints by performing a perturbative expansion of the string coordinates in powers of c^2, the world-sheet speed of light.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ioannis Giannakis , K. Kleidis , K. Kuiroukidis , D. Papadopoulos

We discuss some aspects of string cosmology with an emphasis on the role played by the dilaton. A cosmological scenario based on the assumption that all spatial dimensions are periodic so that winding modes play an important role is…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

We study the cosmological evolution of a type-0 string theory by employing non-criticality, which may be induced by fluctuations of the D3 brane worlds. We check the consistency of the approach to O(alpha ') in the corresponding…

High Energy Physics - Theory · Physics 2009-11-07 G. A. Diamandis , B. C. Georgalas , N. E. Mavromatos , E. Papantonopoulos , I. Pappa

Generic cosmological models in non-critical string theory have a time-dependent dilaton background at a late epoch. The cosmological deceleration parameter Q_0 is given by the square of the string coupling, g_s^2, up to a negative sign.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John Ellis , N. E. Mavromatos , D. V. Nanopoulos

We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

Statistical Mechanics · Physics 2015-05-13 R. Juhász , G. Ódor

Making use of the wealth of new observational data coming from the sky it is possible to constrain particle physics theories beyond the Standard Model. One way to do this is illustrated in this article: a subset of theories admits cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-21 Robert H. Brandenberger