Abstract

The study of the hydrodynamics of bubble growth in first-order phasetransitions is very relevant for electroweak baryogenesis, as thebaryon asymmetry depends sensitively on the bubble wall velocity, andalso for predicting the size of the gravity wave signal resulting frombubble collisions, which depends on both the bubble wall velocity andthe plasma fluid velocity. We perform such study in different bubbleexpansion regimes, namely deflagrations, detonations, hybrids (steadystates) and runaway solutions (accelerating wall), without relying ona specific particle physics model. We compute the efficiency of thetransfer of vacuum energy to the bubble wall and the plasma in allregimes. We clarify the condition determining the runaway regime andstress that in most models of strong first-order phase transitionsthis will modify expectations for the gravity wave signal. Indeed, inthis case, most of the kinetic energy is concentrated in the wall andalmost no turbulent fluid motions are expected since the surroundingfluid is kept mostly at rest.

Highlights

  • Hydrodynamic treatment of the plasma can be used to determine the fluid motion [6, 7]

  • Subsonic wall velocities are crucial in electroweak baryogenesis, since this mechanism is based on diffusion of particle asymmetries into the plasma in front of the bubble wall and for a too fast wall, there is no time to build up a baryon asymmetry

  • The bubble wall velocity ξw in first-order phase transitions is a key quantity entering the calculation of the baryon asymmetry in electroweak baryogenesis and its derivation has been discussed extensively in the literature

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Summary

Hydrodynamic relations

We introduce the basic concepts and set up the notation used for the hydrodynamic analysis of the combined “wall-plasma” system [6, 7, 16]

Basic concepts
Equation of state
Relativistic fluid equations and bulk kinetic energy
Detonations
Deflagrations
Hybrids
Efficiency coefficients
Bubble wall velocity for steady state walls
EoM for the Higgs field and the friction parameter η
Microscopic determination of η
Runaway walls
Energy budget of first-order phase transitions
Summary
A Numerical fits to the efficiency coefficients
Full Text
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