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Title: Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach

Abstract

Gravitational wave production from bubble collisions was calculated in the early 1990s using numerical simulations. In this paper, we present an alternative analytic estimate, relying on a different treatment of stochasticity. In our approach, we provide a model for the bubble velocity power spectrum, suitable for both detonations and deflagrations. From this, we derive the anisotropic stress and analytically solve the gravitational wave equation. We provide analytical formulas for the peak frequency and the shape of the spectrum which we compare with numerical estimates. In contrast to the previous analysis, we do not work in the envelope approximation. This paper focuses on a particular source of gravitational waves from phase transitions. In a companion article, we will add together the different sources of gravitational wave signals from phase transitions: bubble collisions, turbulence and magnetic fields and discuss the prospects for probing the electroweak phase transition at LISA.

Authors:
 [1];  [1];  [2]
  1. Departement de Physique Theorique, Universite de Geneve, 24 Quai E. Ansermet, CH-1211 Geneve (Switzerland)
  2. Service de Physique Theorique, CEA Saclay, F91191 Gif-sur-Yvette (France)
Publication Date:
OSTI Identifier:
21205185
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.77.124015; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; APPROXIMATIONS; BUBBLES; COLLISIONS; COMPARATIVE EVALUATIONS; EQUATIONS; EXPLOSIONS; GRAVITATIONAL WAVES; MAGNETIC FIELDS; PHASE TRANSFORMATIONS; SIMULATION; SPECTRA; STRESSES; TURBULENCE; VELOCITY

Citation Formats

Caprini, Chiara, Service de Physique Theorique, CEA Saclay, F91191 Gif-sur-Yvette, Durrer, Ruth, Servant, Geraldine, and Physics Department, Theory Division, CERN, CH-1211 Geneva 23. Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.124015.
Caprini, Chiara, Service de Physique Theorique, CEA Saclay, F91191 Gif-sur-Yvette, Durrer, Ruth, Servant, Geraldine, & Physics Department, Theory Division, CERN, CH-1211 Geneva 23. Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach. United States. https://doi.org/10.1103/PHYSREVD.77.124015
Caprini, Chiara, Service de Physique Theorique, CEA Saclay, F91191 Gif-sur-Yvette, Durrer, Ruth, Servant, Geraldine, and Physics Department, Theory Division, CERN, CH-1211 Geneva 23. 2008. "Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach". United States. https://doi.org/10.1103/PHYSREVD.77.124015.
@article{osti_21205185,
title = {Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach},
author = {Caprini, Chiara and Service de Physique Theorique, CEA Saclay, F91191 Gif-sur-Yvette and Durrer, Ruth and Servant, Geraldine and Physics Department, Theory Division, CERN, CH-1211 Geneva 23},
abstractNote = {Gravitational wave production from bubble collisions was calculated in the early 1990s using numerical simulations. In this paper, we present an alternative analytic estimate, relying on a different treatment of stochasticity. In our approach, we provide a model for the bubble velocity power spectrum, suitable for both detonations and deflagrations. From this, we derive the anisotropic stress and analytically solve the gravitational wave equation. We provide analytical formulas for the peak frequency and the shape of the spectrum which we compare with numerical estimates. In contrast to the previous analysis, we do not work in the envelope approximation. This paper focuses on a particular source of gravitational waves from phase transitions. In a companion article, we will add together the different sources of gravitational wave signals from phase transitions: bubble collisions, turbulence and magnetic fields and discuss the prospects for probing the electroweak phase transition at LISA.},
doi = {10.1103/PHYSREVD.77.124015},
url = {https://www.osti.gov/biblio/21205185}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 77,
place = {United States},
year = {Sun Jun 15 00:00:00 EDT 2008},
month = {Sun Jun 15 00:00:00 EDT 2008}
}