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Domain wall network evolution in (N+1)-dimensional FRW universes

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P.P. Avelino, L. Sousa

High Energy Physics - Theory · Submitted 18 Jan 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless and friction dominated regimes.

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arXiv ID1101.3360 (version 1)
Pith IDX22OMY2V, Pith's permanent record of this paper and its review
CitationL. Sousa, P.P. Avelino. "Domain wall network evolution in (N+1)-dimensional FRW universes." arXiv:1101.3360 (2011). https://pith.science/paper/X22OMY2V
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,337 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless and friction dominated regimes. We also determine the allowed range of values of the curvature parameter and the expansion exponent for which a linear scaling solution is possible in the frictionless regime.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless and friction dominated regimes. contribution 0.95 0.97 0.65 asserted 1.00
s1 We also determine the allowed range of values of the curvature parameter and the expansion exponent for which a linear scaling solution is possible in the frictionless regime. result 0.86 0.95 0.17 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless and friction dominated regimes. We also determine the allowed range of values of the curvature parameter and the expansion exponent for which a linear scaling solution is possible in the frictionless regime.

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References
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6 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 9 sentences without a confident label

Uses its method or tool 1 paper
  • This has been achieved by resorting to the Velocity-dependent One-Scale (VOS) model [ref] to describe the cosmological evolution of their characteristic scale $L ≡σ/ρ=η^3/ρ$ — where $σ$, $η≡σ^1/3$ and $ρ$ are, respectively, the domain wall tension, their characteristic energy scale and the average energy density of the domain wall network — and root-mean-squared velocity $v̅$.

    Domain walls in light of Cosmic Microwave Background and Pulsar Timing Array data · GW energy density · 1.00

Cites it as background 1 paper
  • The evolution of topological defect networks has been extensively studied using numerical [ref] and semi-analytical [ref] methods.

    CMB anisotropies generated by cosmic string loops · Cosmic string network evolution and loop production · 0.95

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