Criterion for ultra-fast bubble walls: the impact of hydrodynamic obstruction

Fuente: arXiv
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Autores principales: Ai, Wen-Yuan, Nagels, Xander, Vanvlasselaer, Miguel
Formato: Preprint
Publicado: 2024
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author Ai, Wen-Yuan
Nagels, Xander
Vanvlasselaer, Miguel
author_facet Ai, Wen-Yuan
Nagels, Xander
Vanvlasselaer, Miguel
contents The Bödeker-Moore thermal friction is usually used to determine whether or not a bubble wall can run away. However, the friction on the wall is not necessarily a monotonous function of the wall velocity and could have a maximum before it reaches the Bödeker-Moore limit. In this paper, we compare the maximal hydrodynamic obstruction, a frictional force that exists in local thermal equilibrium, and the Bödeker-Moore thermal friction. We study the former in a fully analytical way, clarifying its physical origin and providing a simple expression for its corresponding critical phase transition strength above which the driving force cannot be balanced out by the maximal hydrodynamic obstruction. We find that for large parameter space, the maximal hydrodynamic obstruction is larger than the Bödeker-Moore thermal friction, indicating that the conventional criterion for the runaway behavior of the bubble wall may have to be modified. We also explain how to apply efficiently the modified criterion to particle physics models and discuss possible limitations of the analysis carried out in this paper.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05911
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Criterion for ultra-fast bubble walls: the impact of hydrodynamic obstruction
Ai, Wen-Yuan
Nagels, Xander
Vanvlasselaer, Miguel
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
The Bödeker-Moore thermal friction is usually used to determine whether or not a bubble wall can run away. However, the friction on the wall is not necessarily a monotonous function of the wall velocity and could have a maximum before it reaches the Bödeker-Moore limit. In this paper, we compare the maximal hydrodynamic obstruction, a frictional force that exists in local thermal equilibrium, and the Bödeker-Moore thermal friction. We study the former in a fully analytical way, clarifying its physical origin and providing a simple expression for its corresponding critical phase transition strength above which the driving force cannot be balanced out by the maximal hydrodynamic obstruction. We find that for large parameter space, the maximal hydrodynamic obstruction is larger than the Bödeker-Moore thermal friction, indicating that the conventional criterion for the runaway behavior of the bubble wall may have to be modified. We also explain how to apply efficiently the modified criterion to particle physics models and discuss possible limitations of the analysis carried out in this paper.
title Criterion for ultra-fast bubble walls: the impact of hydrodynamic obstruction
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2401.05911