The role of domain wall junctions in Carter's pentahedral model

Avelino, P. P.; Oliveira, J. C. R. E.; Menezes, R.; Menezes, J.

doi:10.1016/j.physletb.2009.10.009

Cited by 7 publications

(7 citation statements)

References 20 publications

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“…Therefore, X-type junctions cannot be expected to survive in physically relevant systems. This is what was observed by Avelino et al [18] but they expanded the statement to include all systems with X-type junctions.…”

Section: Discussionsupporting

confidence: 64%

“…In recent work Avelino et al [18] studied this model and make the claim that, although X-type junctions do form, their effect is not sufficient to prevent the relaxation of the system in to a scaling regime where the number of domain walls, N dw (t), scales like t −1 . Moreover, they suggest that the X-type junctions which are seen are as a result of the algorithm [19] they employ to model the expansion of the Universe.…”

Section: Introductionmentioning

confidence: 99%

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X-type andY-type junction stability in domain wall networks

2011

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We develop an analytic formalism that allows one to quantify the stability properties of X-type and Y-type junctions in domain wall networks in two dimensions.A similar approach might be applicable to more general defect systems involving junctions that appear in a range of physical situations, for example, in the context of F-and D-type strings in string theory. We apply this formalism to a particular field theory, Carter's pentavac model, where the strength of the symmetry breaking is governed by the parameter | | < 1. We find that for low values of the symmetry breaking parameter X-type junctions will be stable, whereas for higher values an Xtype junction will separate into two Y-type junctions. The critical angle separating the two regimes is given by α c = 293 • | | and this is confirmed using simple numerical experiments. We go on to simulate the pentavac model from random initial conditions and we find that the fraction of X-type junctions to Y-type junctions is higher for smaller , although X-type junctions do not appear to survive to late time.We also find that for small the evolution of the number of domain walls N dw in Minkowski space does not follow the standard ∝ t −1 scaling law with the deviation from the standard lore being more pronounced as is decreased. The presence of dissipation appears to restore the t −1 lore. * Electronic address: richard.battye@manchester.ac.uk † Electronic address: jp@jb.man.ac.uk ‡ Electronic address: adammoss@phas.ubc.ca arXiv:1107.1325v2 [hep-th]

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Section: Discussionsupporting

confidence: 64%

Section: Introductionmentioning

confidence: 99%

X-type andY-type junction stability in domain wall networks

2011

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“…The evolution of cosmological domain wall networks has been studied in detail using both high-resolution numerical simulations and a semi-analitical velocitydependent one-scale (VOS) model [8,9,10,11,12,13]. Strong analytical and numerical evidence was provided that a frustrated domain wall network, accounting for a significant fraction of the energy density of the Universe at the present time, will never emerge from realistic phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Impact of string and monopole-type junctions on domain wall dynamics: Implications for dark energy

Sousa

Avelino

2010

Physics Letters B

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We investigate the potential role of string and monopole-type junctions in the frustration of domain wall networks using a velocity-dependent one-scale model for the characteristic velocity, v, and the characteristic length, L, of the network. We show that, except for very special network configurations, v 2 ∼ < (HL) 2 ∼ < (ρσ + ρµ)/ρm where H is the Hubble parameter and ρσ, ρµ and ρm are the average density of domain walls, strings and monopole-type junctions. We further show that if domain walls are to provide a significant contribution to the dark energy without generating exceedingly large CMB temperature fluctuations then, at the present time, the network must have a characteristic length L0 ∼ < 10 Ω −2/3 σ0 kpc and a characteristic velocity v0 ∼ < 10 −5 Ω −2/3 σ0where Ωσ0 = ρσ0/ρc0 and ρc is the critical density. In order to satisfy these constraints with Ωσ0 ∼ 1, ρm0 would have to be at least 10 orders of magnitude larger than ρσ0, which would be in complete disagreement with observations. This result provides very strong additional support for the conjecture that no natural frustration mechanism, which could lead to a significant contribution of domain walls to the dark energy budget, exists.

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“…The dynamics of cosmological domain walls has been investigated using both high-resolution numerical simulations and a semi-analitical velocity-dependent one-scale (VOS) model [1][2][3][4][5][6][7]. Most of these studies were motivated by the suggestion [8] that a frozen domain wall network could be responsible for the observed acceleration of the Universe (see also [9][10][11][12]).…”

Section: Introductionmentioning

confidence: 99%

Evolution of domain wall networks: The Press-Ryden-Spergel algorithm

Sousa

Avelino

2010

Phys. Rev. D

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The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters (α and β), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed comoving resolution. In this paper we explicitly demonstrate that the PRS algorithm provides the correct domain wall dynamics in N + 1-dimensional Friedmann-Robertson-Walker (FRW) universes if α + β/2 = N , fully validating its use in numerical studies of cosmic domain evolution. We further show that this result is valid for generic thin featureless domain walls, independently of the Lagrangian of the model.

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The role of domain wall junctions in Carter's pentahedral model

Cited by 7 publications

References 20 publications

X-type andY-type junction stability in domain wall networks

X-type andY-type junction stability in domain wall networks

Impact of string and monopole-type junctions on domain wall dynamics: Implications for dark energy

Evolution of domain wall networks: The Press-Ryden-Spergel algorithm

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