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Cosmological phase transitions proceed via the nucleation of bubbles that subsequently expand and collide. The resulting gravitational wave spectrum depends crucially on the bubble wall velocity. Microscopic calculations of this velocity…

We study slow-down effects for bubbles formed in a cosmological first-order phase transition (PT) focusing on deflagrations and hybrids, where the bubble wall is preceded by a shockwave of heated plasma. Slow-down has been observed in…

High Energy Physics - Phenomenology · Physics 2026-03-25 Nabeen Bhusal , Simone Blasi , Thomas Konstandin , Enrico Perboni , Jorinde van de Vis

We establish a first principles, systematic framework for determining the bubble wall velocity during a first order cosmological phase transition. This framework, based on non-local Kadanoff-Baym equations, incorporates both macroscopic…

High Energy Physics - Phenomenology · Physics 2025-04-21 Michael J. Ramsey-Musolf , Jiang Zhu

First order phase transitions in the early universe may have left a variety of experimentally accessible imprints. The dynamics of such transitions is governed by the density perturbations caused by the propagation of the bubble wall in the…

High Energy Physics - Phenomenology · Physics 2024-10-02 Carlo Branchina , Angela Conaci , Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Angel Gil Muyor , Giuliano Panico

The bubble wall velocity is essential for the phase transition dynamics in the early universe and its cosmological implications, such as the energy budget of phase transition gravitational wave and electroweak baryogenesis. One key factor…

High Energy Physics - Phenomenology · Physics 2020-11-26 Xiao Wang , Fa Peng Huang , Xinmin Zhang

We calculate the velocity and thickness of a bubble wall at the electroweak phase transition in the Minimal Standard Model. We model the wall with semiclassical equations of motion and show that friction arises from the deviation of massive…

High Energy Physics - Phenomenology · Physics 2016-09-01 Guy D. Moore , Tomislav Prokopec

In cosmological first-order phase transitions, the progress of true-vacuum bubbles is expected to be significantly retarded by the interaction between the bubble wall and the hot plasma. It has been claimed that this leads to a significant…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthew Lilley , Antonio Ferrera

The bubble wall velocity in the first order phase transition plays an important role in determining both the amplitude and the pivot frequency of stochastic gravitational wave background. In the framework of the minimal left-right symmetric…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Dian-Wei Wang , Qi-Shu Yan , Mei Huang

We compute the wall velocity in the MSSM. We therefore generalize the SM equations of motion for bubble walls moving through a hot plasma at the electroweak phase transition and calculate the friction terms which describe the viscosity of…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. John , M. G. Schmidt

In cosmological first-order phase transitions, the progress of true-vacuum bubbles is expected to be significantly retarded by the interaction between the bubble wall and the hot plasma. We examine the evolution and collision of slow-moving…

High Energy Physics - Phenomenology · Physics 2009-10-31 Anne-Christine Davis , Matthew Lilley

We build on existing calculations of the wall velocity of the expanding bubbles of the broken symmetry phase in a first-order electroweak phase transition within the light stop scenario (LSS) of the MSSM. We carry out the analysis using the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Stephan J. Huber , Miguel Sopena

We develop a framework based on the full one-loop finite-temperature effective potential model, within which the bubble wall velocity is calculated using the local thermal equilibrium (LTE) approximation, and the kinetic energy fraction $K$…

High Energy Physics - Phenomenology · Physics 2025-09-05 Zongguo Si , Hongxin Wang , Lei Wang , Yang Xiao , Yang Zhang

The cosmological remnants of a first-order phase transition generally depend on the perturbations that the walls of expanding bubbles originate in the plasma. Several of the formation mechanisms occur when bubbles collide and lose their…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-17 Leonardo Leitao , Ariel Megevand

We study the evolution of growing vacuum bubbles. The bubble walls interact with the surrounding fluid and may, consequently, reach a terminal velocity. If the mean free path of the particles in the fluid is much shorter than the bubble…

High Energy Physics - Phenomenology · Physics 2024-11-25 Tomasz Krajewski , Marek Lewicki , Martin Vasar , Ville Vaskonen , Hardi Veermäe , Mateusz Zych

In this paper, we investigate the dynamics of the nucleating scalar field during the first-order phase transitions by incorporating one-loop corrections of classical fluctuations. We assume that a high-temperature expansion is valid\te…

High Energy Physics - Phenomenology · Physics 2025-03-07 Andrii Dashko , Andreas Ekstedt

We investigate the modes of deformation of an initially spherical bubble immersed in a homogeneous and isotropic turbulent background flow. We perform direct numerical simulations of the two-phase incompressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2021-07-07 Stéphane Perrard , Aliénor Rivière , Wouter Mostert , Luc Deike

Although the QCD phase transition is a crossover in the standard model, nonstandard effects such as a large lepton asymmetry are known to make it first order, with possible applications to gravitational wave production. This process is…

High Energy Physics - Phenomenology · Physics 2025-04-07 James M. Cline , Benoit Laurent

We present a unified description of first-order cosmological phase transition dynamics that links the phenomenological friction model employed in hydrodynamic simulations to the microscopic treatment based on Boltzmann equations. We derive…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Tomasz Krajewski , Marek Lewicki , Marco Merchand , Ignacy Nałęcz , Mateusz Zych

The dynamics of the true-vacuum bubbles nucleated during a first-order phase transition is affected by the distribution functions of the particle species in the plasma, driven out-of-equilibrium by the travelling domain wall. An accurate…

High Energy Physics - Phenomenology · Physics 2023-06-14 Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Ángel Gil Muyor , Giuliano Panico

3D-Particle Tracking (3D-PTV) and Phase Sensitive Constant Temperature Anemometry in pseudo-turbulence--i.e., flow solely driven by rising bubbles-- were performed to investigate bubble clustering and to obtain the mean bubble rise…

Fluid Dynamics · Physics 2012-11-14 J. Martinez , D. Chehata , D. P. M. van Gils , C. Sun , D. Lohse