Bubble Correlation in First-Order Phase Transitions

Abstract

Making use of both the stochastic approach to the tunneling phenomenon and the threshold statistics, we offer a simple argument to show that critical bubbles may be correlated in first-order phase transitions and biased compared to the underlying scalar field spatial distribution. This happens though only if the typical energy scale of the phase transition is sufficiently high. We briefly discuss possible implications of this result, e.g. the formation of primordial black holes through bubble collisions.

6 pages, 1 figure. v2: matching published version

References in corpus (9)

• Cosmological Backgrounds of Gravitational Waves
• Large-Scale Galaxy Bias
• Recent Progress in Baryogenesis
• Halo Stochasticity from Exclusion and non-linear Clustering
• Phase transitions in the early universe
• The Spatial Clustering of Primordial Black Holes
• Correlation function of high-threshold regions and application to the initial small-scale clustering of primordial black holes
• A New Semiclassical Picture of Vacuum Decay
• A status report on the observability of cosmic bubble collisions