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arXiv · 2008.05027

Bubble nucleation around heterogeneities in $\phi^4$-field theories

Juan F. Marin
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Abstract

Localised heterogeneities have been recently discovered to act as bubble-nucleation sites in nonlinear field theories. Vacuum decay seeded by black holes is one of the most remarkable applications. This article proposes a simple and exactly solvable $\phi^4$ model exhibiting bubble nucleation around localised heterogeneities. Bubbles with a rich dynamical behaviour are observed depending on the topological properties of the heterogeneity. The linear stability analysis of soliton-bubbles predicts the formation of oscillating bubbles and the insertion of new bubbles inside an expanding precursor bubble. Numerical simulations in 2+1 dimensions are in good agreement with theoretical predictions.

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Juan F. Marin. 2020-08-11. Bubble nucleation around heterogeneities in $\phi^4$-field theories. https://doi.org/10.1007/jhep02(2021)198

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