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Growth of bubbles in cosmological phase transitions

Open access
Ignatius, J., Kajantie, K., Kurki-Suonio, H., Laine, M.·1994·Physical Review D
DOI 10.1103/physrevd.49.3854
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Abstract

We study how bubbles grow after the initial nucleation event in generic first-order cosmological phase transitions characterized by the values of the latent heat $L$, interface tension $\ensuremath{\sigma}$, and correlation length $\ensuremath{\xi}$, and driven by a scalar order parameter $\ensuremath{\varphi}$. Equations coupling $\ensuremath{\varphi}(t,\mathbf{x})$ and the fluid variables $\mathbf{v}(t,\mathbf{x})$, $T(t,\mathbf{x})$ and depending on a dissipative constant $\ensuremath{\Gamma}$ are derived and solved numerically in the (1+1)-dimensional case starting from a slightly deformed critical bubble configuration $\ensuremath{\varphi}(0,\mathbf{x})$. The parameters $L$, $\ensuremath{\sigma}$, $\ensuremath{\xi}$ corresponding to QCD and electroweak phase transitions are chosen and the whole history of the bubble with the formation of combustion and shock fronts is computed as a function of $\ensuremath{\Gamma}$. Both deflagrations and detonations can appear depending on the values of the parameters. Reheating due to collisions of bubbles is also computed.

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Integrity signals

Registry

Crossref · 10.1103/physrevd.49.3854

Cites

43 of 43 references verified0 citation errors · 0 not checkable

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  • At the QCD transition neutrinos travel freely on scales λ_ν-mfp ≈ 10^-6 R_H, and fluctuations on the diffusion scale of neutrinos are washed out by the time of the QCD transition.

    “This study revealed that at the QCD transition neutrinos travel freely on scales λ ν -mfp ≈ 10 -6 R H , and that fluctuations on the diffusion scale of neutrinos are washed out by the time of the QCD transition:”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [92]

    In “Deflagrations vs. detonations” (p. 8), the paper says that weakly interacting particles have much longer mean free paths than strongly interacting particles and are not active during the early stages of the QCD transition. It does not give the claimed neutrino mean-free-path scale or say that neutrino-diffusion-scale fluctuations are washed out by the transition. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

  • A new scenario for the cosmological QCD transition was developed in ref.[91] in which a small scale cut-off in the spectrum of primordial temperature fluctuations from collisional damping by neutrinos is included.

    “A new scenario for the cosmological QCD transition was developed in ref.[91] in which a small scale cut-off in the spectrum of primordial temperature fluctuations from collisional damping by neutrinos [92, 93] is included.”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [92]

    The Conclusions (p. 18) present a different picture of the cosmological QCD transition in which bubbles could grow as detonations. The cited paper does not support the claim that this scenario includes a small-scale cutoff in primordial temperature fluctuations caused by neutrino damping; the citing sentence gives separate citations for that mechanism. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • During this decoupling the large peaks in the radiation spectrum are wiped out by collisional damping.

    “During this decoupling the large peaks in the radiation spectrum are wiped out by collisional damping [92].”

    From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [92]

    The passages on bubble collisions (Section 4.2, p. 11) and particle mean free paths (Section 3, p. 8) do not address peaks in a radiation spectrum. Searches for decoupling, radiation-spectrum peaks, and collisional damping found no passage stating that such peaks are wiped out. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

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Cites

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Research works printed but not linked: 10

  1. [2][2] A. Linde, Phys. Lett. B70 (1977) 306, B100 (1981) 37 -
  2. [4][4] L. D. Landau and E. M. Lifshitz, Fluid Mechanics , 2nd edition (Pergamon Press, Oxford, 1987) -
  3. [18][18] P. Huet, K. Kajantie, R. G. Leigh, B. H. Liu and L. McLerran, Stanford Preprint SLAC-PUB-5943, to be published in Phys. Rev. D -
  4. [20][20] F. Karsch and E. Laermann, Bielefeld Preprint BI-TP 93-10, to be published in Rep. Prog. Phys. -
  5. [23][23] M. Shaposhnikov, Phys. Lett. B277 (1992) 324, B282 (1992) 483 (Erratum) -
  6. [24][24] C. G. Boyd, D. E. Brahm and S. Hsu, Caltech Preprint CALT-68-1795 (1992) -
  7. [26][26] A. Hebecker, DESY Preprint DESY 93-086 -
  8. [37][37] B. Grossmann and M. L. Laursen, J¨ ulich Preprint HLRZ-93-7 -
  9. [43][43] L. D. Landau and E. M. Lifshitz, Statistical Physics , Part 1, 3rd edition (Pergamon Press, Oxford, 1988) -
  10. [46][46] M. Laine, Helsinki Preprint HU-TFT-93-44 (Bulletin Board: hep-ph/9309242) · arXiv

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Related

Authors
Ignatius, J., Kajantie, K., Kurki-Suonio, H., & Laine, M.
Affiliations
University of Helsinki (FI)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1994-04-15
Volume
49
Issue
8
Pages
3854-3868
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.49.3854
OpenAlex
W2093623162
Cited by
225
References
43
Citations by year
2026: 3 · 2025: 17 · 2024: 7 · 2023: 9 · 2022: 13 · 2021: 15 · 2020: 8 · 2019: 4 · 2018: 21 · 2017: 1 · 2016: 4 · 2015: 3 · 2014: 10 · 2013: 22 · 2012: 9
FWCI
9.33
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • PUB – Publications at Bielefeld University (Bielefeld University) (submittedVersion)
  • Publikationen an der Universität Bielefeld (Universität Bielefeld) (submittedVersion)
  • arXiv (Cornell University)
Funders
Academy of Finland
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
Keywords
bubble growth, cosmological phase transitions, first-order phase transition, nucleation, latent heat, interfacial tension, correlation length, scalar order parameter, dissipative dynamics, combustion front, shock front, deflagration, detonation, reheating, QCD phase transition, electroweak phase transition, bubble collisions

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