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

Sousa, L.; Avelino, P. P.

doi:10.1103/physrevd.81.087305

Cited by 16 publications

(6 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spatial derivative is computed by using the fourth order finite difference method, and the time evolution is solved by using the fourth order symplectic integration scheme [50]. Note that we are not using the PRS algorithm [41,51], in which the equation of motion is modified from eq. ( 3.1) such that the width of domain walls is fixed in the comoving simulation box.…”

Section: Simulation Techniquesmentioning

confidence: 99%

On the estimation of gravitational wave spectrum from cosmic domain walls

Hiramatsu

Kawasaki

Saikawa

2014

J. Cosmol. Astropart. Phys.

151

182

View full text Add to dashboard Cite

We revisit the production of gravitational waves from unstable domain walls analyzing their spectrum by the use of field theoretic lattice simulations with grid size 1024 3 , which is larger than the previous study. We have recognized that there exists an error in the code used in the previous study, and the correction of the error leads to the suppression of the spectrum of gravitational waves at high frequencies. The peak of the spectrum is located at the scale corresponding to the Hubble radius at the time of the decay of domain walls, and its amplitude is consistent with the naive estimation based on the quadrupole formula. Using the numerical results, the magnitude and the peak frequency of gravitational waves at the present time are estimated. It is shown that for some choices of parameters the signal of gravitational waves is strong enough to be probed in the future gravitational wave experiments.PACS numbers: 98.80.Cq, 04.30.Db Contents 15A. The coding error 15References

show abstract

Section: Simulation Techniquesmentioning

confidence: 99%

On the estimation of gravitational wave spectrum from cosmic domain walls

Hiramatsu

Kawasaki

Saikawa

2014

J. Cosmol. Astropart. Phys.

151

182

View full text Add to dashboard Cite

show abstract

“…Reactions induced by 9 Be have been already studied on 208 Pb at the Australian National University [50] and at the China Institute of Atomic Energy [51], on 27 Al at the University of São Paulo and on 27 Al and 144 Sm at the TANDAR Laboratory [24,52]. Regarding the target, the spherical (proton magic) 120 Sn nucleus has been investigated with weakly bound projectiles, both stable ( 6,7 Li [53]) and radioactive ( 6 He [43] and 8 Li [54]).…”

Section: Introductionmentioning

confidence: 99%

Be9+Sn120 scattering at near-barrier energies within a four-body model

et al. 2018

View full text Add to dashboard Cite

Cross sections for elastic and inelastic scattering of the weakly-bound 9 Be nucleus on a 120 Sn target have been measured at seven bombarding energies around and above the Coulomb barrier. The elastic angular distributions are analyzed with a four-body continuum-discretized coupled-channels (CDCC) calculation, which considers 9 Be as a three-body projectile (α + α + n). An optical model analysis using the São Paulo potential is also shown for comparison. The CDCC analysis shows that the coupling to the continuum part of the spectrum is important for the agreement with experimental data even at energies around the Coulomb barrier, suggesting that breakup is an important process at low energies. At the highest incident energies, two inelastic peaks are observed at 1.19(5) and 2.41(5) MeV. Coupled-channels (CC) calculations using a rotational model confirm that the first inelastic peak corresponds to the excitation of the 2 + 1 state in 120 Sn, while the second one likely corresponds to the excitation of the 3 − 1 state.

show abstract

“…However, the thickness of a domain wall is constant for a given set of model parameters, whereas the grid spacing will increase with time. Therefore, in an expanding universe their comoving thickness will decrease in inverse proportion to the scale factor, a, [52]. This results in resolution issues as the lattice expands, with the width of the kink becoming smaller than the grid spacing.…”

Section: Full Dynamics In Two and Three Dimensionsmentioning

confidence: 99%

“…This is the so-called PRS algorithm [41]. Setting β = 0 produces a fixed comoving thickness for the domain walls and α+β/2 = N yields unchanged dynamics for domain walls in (N + 1) dimensions [41,52]. In the results presented later, simulations start from an initial conformal time η 0 = 1 and use a power law, a = η γ , for the scale factor.…”

Section: Full Dynamics In Two and Three Dimensionsmentioning

confidence: 99%

Simulations of Domain Walls in Two Higgs Doublet Models

Battye,

Pilaftsis,

Viatic

2020

Preprint

View full text Add to dashboard Cite

The Two Higgs Doublet Model predicts the emergence of 3 distinct domain wall solutions arising from the breaking of 3 accidental global symmetries, Z 2 , CP1 and CP2, at the electroweak scale for specific choices of the model parameters. We present numerical kink solutions to the field equations in all three cases along with dynamical simulations of the models in (2+1) and (3+1) dimensions. For each kink solution we define an associated topological current. In all three cases simulations produce a network of domain walls which deviates from power law scaling in Minkowski and FRW simulations. This deviation is attributed to a winding of the electroweak group parameters around the domain walls in our simulations. We observe a local violation of the neutral vacuum condition on the domain walls in our simulations. This violation is attributed to relative electroweak transformations across the domain walls which is a general feature emerging from random initial conditions.

show abstract

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

Cited by 16 publications

References 16 publications

On the estimation of gravitational wave spectrum from cosmic domain walls

On the estimation of gravitational wave spectrum from cosmic domain walls

Be9+Sn120 scattering at near-barrier energies within a four-body model

Simulations of Domain Walls in Two Higgs Doublet Models

Contact Info

Product

Resources

About