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Extending the velocity-dependent one-scale string evolution model

2002
*
Physical Review D, Particles and fields
*

We thus discuss

doi:10.1103/physrevd.65.043514
fatcat:wcjnobpv6vabbc5ma4kkndodty
*the*evolution*of**the*basic large-scale features*of*cosmic*string**networks*in all relevant cosmological scenarios, concentrating in particular*on**the*'scaling' solutions relevant*for*each ... In a companion paper, we show, by comparing*with*numerical simulations, that this model provides an accurate description*of**the*large-scale features*of*cosmic*string**networks*. ... This work was performed*on*COSMOS,*the*Origin2000 owned by*the*UK Computational Cosmology Consortium, supported by Silicon Graphics/Cray Research, HEFCE and PPARC. ...##
###
Statistical properties of strings

1995
*
Nuclear Physics B
*

We

doi:10.1016/0550-3213(94)00593-4
fatcat:blkfrpstl5cbli4d2ytdmdjziy
*measure**the*percolation threshold,*the*critical exponent associated*with**the*divergence*of*a suitably defined susceptibility*of**the**string*loops, and that associated*with**the*divergence*of**the*correlation ... We also investigate*the*Hagedorn*transition*, at which infinite*strings*percolate, controlling*the**string*density by rendering*one**of**the*equilibrium states more probable. ... Scale*invariance*means that*the**string**network*looks*the*same*on*all scales in terms*of*statistical properties. In fact Brownian random walks are scale*invariant*. ...##
###
Page 5953 of Mathematical Reviews Vol. , Issue 2002H
[page]

2002
*
Mathematical Reviews
*

(D-BRNS-CS; Braunschweig)

*On**the**existence**of**invariant**measures**for**networks**with**string**transitions*. (English summary) Queueing Syst. Theory Appl. 38 (2001), no. 3, 265-285. ... It is shown*for*open*networks**with*unit vector*string**transitions**of*bounded lengths that*the*traffic equations possess a solution. ...##
###
Topological Transitions from Multipartite Entanglement with Tensor Networks: A Procedure for Sharper and Faster Characterization

2014
*
Physical Review Letters
*

sharp evidence

doi:10.1103/physrevlett.113.257202
pmid:25554905
fatcat:d42juphn75dodifwd377dmpdfy
*of*topological phase*transitions*in 2d systems*with*a*string*-tension perturbation. ... When compared to tensor*network*methods*for*R\'enyi entropies, our approach produces almost perfect accuracies close to criticality and,*on*top, is orders*of*magnitude faster. ... In Fig. 3 we show an example*of**the*scalings*with*L*for*different values*of*n up to n ¼ 20*for*two different*string*tensions g ¼ 0.4; 0.6*on**the*square lattice. ...##
###
Cosmic strings and other topological defects in nonscaling regimes

2017
*
Physical Review D
*

Here we use

doi:10.1103/physrevd.95.043537
fatcat:4bcrkjxoybhrhknwjmoeitxisy
*the*velocity-dependent*one*-scale model*for**the*evolution*of*a*string**network*to better quantify how these*networks*evolve. ... Attempts to estimate these numbers often rely*on*simplistic approximations*for**the**string*parameters, such as assuming that*the**network*is scaling. ...*Invariant*and physical quantities Throughout*the*previous subsection,*the*characteristic length scale L was an*invariant*quantity or, in other words, a*measure**of**the**invariant**string*energy (and hence ...##
###
Shadows of anyons and the entanglement structure of topological phases

2015
*
Nature Communications
*

*The*tensor

*network*formalism enables us to determine

*the*structure

*of*

*the*topological sectors in two-dimensional gapped phases very efficiently, therefore opening novel avenues

*for*studying fundamental ... Here we study transfer matrices

*of*quantum states in a topological phase using

*the*tensor

*network*formalism. ... Acknowledgements This work was initiated during

*the*programme

*on*'Quantum Hamiltonian Complexity' held at

*the*Simons Institute

*for*

*the*Theory

*of*Computing. ...

##
###
Universality and critical phenomena in string defect statistics

1997
*
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
*

In this paper we

doi:10.1103/physreve.55.1120
fatcat:5l6c5fde4ffgth7x6ww2l7qbla
*measure**the*initial configurational statistics*of*a*network**of**string*defects after a symmetry-breaking phase*transition**with*initial bias in*the*symmetry*of**the*ground state. ... themselves naturally to a percolation theory description, and*for*cosmic*strings*, where*the*proportion*of*infinite*strings*can be varied or disappear entirely depending*on**the*bias in*the*symmetry. ... Figure 18 shows that*the*assumption*of*scale*invariance*is consistent*with*our*measurements**for*U(1)*strings*. ...##
###
Super-horizon cosmic string correlations

2009
*
Physical Review D
*

When gauged cosmic

doi:10.1103/physrevd.79.043515
fatcat:r3ygjvrrefaj7deh6s3vugdydm
*strings*form in a symmetry-breaking phase*transition*,*the*gauge field configuration at*the*time becomes imprinted in*the*spatial*string*distribution by*the*flux trapping mechanism. ...*The*potential observable effects*of**the*correlations are discussed. ... This research was conducted in cooperation*with*SGI/Intel utilising*the*Altix 3700 supercomputer. ...##
###
Signatures of Cosmic Strings on the Microwave Background
[article]

1994
*
arXiv
*
pre-print

Using an analytical model

arXiv:astro-ph/9402023v1
fatcat:sxbnr7aepjcj3by7nnbieuqeq4
*for**the**string**network*we show that*the*predicted amplitude and spectrum*of*MBR fluctuations are consistent*with**the*COBE data*for*a reasonable value*of**the*single free parameter ... ABSRACT: We review recent progress*on*testing*the*hypothesis*of**the**existence**of*cosmic*string*perturbations in microwave background maps. ... Fig. 2 shows a plot*of*C(α) smoothed*on*angular scales*of*10 • (as in Smoot et. al. (1992) )*with*v s γ s = 0.15 and M = 10 as suggested by*string**network*numerical simulations (Allen & Shellard (1990 ...##
###
Nonperturbative dynamics for abstract(p,q)string networks

1998
*
Physical Review D, Particles and fields
*

*The*dynamics depend

*on*two free SL(2,Z)

*invariant*functions which describe

*the*amplitudes

*for*

*the*local evolution moves. ... We describe abstract (p,q)

*string*

*networks*which are

*the*

*string*

*networks*

*of*Sen without

*the*information about their embedding in a background spacetime. ... Gupta and Ashoke Sen

*for*pointing out a silly mistake in

*the*first draft

*of*this paper. ...

##
###
Complex structures defined on dynamically triangulated surfaces

1995
*
Physics Letters B
*

This can be regarded as

doi:10.1016/0370-2693(95)00368-u
fatcat:57qffjoqrvd53hbk6qxs3rraca
*the**transition*expected in analytic theories. ... We observe a well-defined complex structure*for*cases when*the*matter central charges are less than and equal to*one*, while it becomes unstable beyond c=1. ...*One**of**the*authors(N.T.) is supported by Research F ellowships*of**the*Japan Society*for**the*Promotion*of*Science*for*Young Scientists. ...##
###
On Measuring the Complexity of Networks: Kolmogorov Complexity versus Entropy

2017
*
Complexity
*

*One*

*of*

*the*most popular methods

*of*estimating

*the*complexity

*of*

*networks*is to

*measure*

*the*entropy

*of*

*network*

*invariants*, such as adjacency matrices or degree sequences. ... This

*measure*is not affected by a particular choice

*of*

*network*features and it does not depend

*on*

*the*method

*of*

*network*representation. ... Acknowledgments

*The*authors would like to thank Adrian Szymczak

*for*helping to devise

*the*degree sequence

*network*. ...

##
###
The evolution and persistence of dumbbells

2002
*
Journal of High Energy Physics
*

We estimate

doi:10.1088/1126-6708/2002/08/033
fatcat:dnxx7xhwq5guphcdkpdsrsxnta
*the*range*of*parameters where*the**network**of*dumbbells persists, and show that this region is narrower than*the*region within which infinite straight electroweak*strings*are perturbatively ... These exhibit complex dynamics,*with*some shrinking under*the**string*tension and others growing due to*the*monopole-antimonopole attractions between near neighbours. ... Acknowledgments We thank Mark Hindmarsh and Tanmay Vachaspati*for*useful discussions, and*the*referees*for*their comments. ...##
###
Physical and invariant models for defect network evolution

2016
*
Physical Review D
*

As an illustration

doi:10.1103/physrevd.93.043542
fatcat:ezxc4n5izjfbjp3ac5k7uvrw6q
*of**the*relevance*of**the*new formulation, we use it to study*the*evolution*of*cosmic*string*and domain wall*networks*in contracting universes. ... We revisit*the*velocity-dependent*one*-scale model*for*topological defect evolution, and present a new alternative formulation in terms*of*a physical (rather than*invariant*) characteristic length scale. ... ACKNOWLEDGMENTS We are grateful to Ivan Rybak*for*helpful discussions*on**the*subject*of*this work. This work was done in*the*context*of*project PTDC/FIS/111725/2009 (FCT, Portugal). ...##
###
Can Doppler Peaks discriminate among Inflationary models and Topological Defect scenarios
[article]

1996
*
arXiv
*
pre-print

We finally discuss

arXiv:astro-ph/9612004v1
fatcat:3h3ef6fpjzf4bamk4yizqdbrd4
*the*temporal coherence*of*cosmic*string*sources, through correlations*of**the*energy and momentum in an evolving cosmic*string**network*in Minkowski space. ... We calculate*the*height and*the*position*of**the*primary peak and conclude a different signature than*the**one*obtained if*the*initial perturbations were due to*the*amplification*of*quantum fluctuations ... Performing numerical experiments, we investigate scaling properties*of**the*power spectra and correlations*of**the*energy and momentum in an evolving*string**network*in Minkowski space [8] and*measure**the*...
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