Bubble wall correlations in cosmological phase transitions. (arXiv:2008.01873v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Megevand_A/0/1/0/all/0/1">Ariel Megevand</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Membiela_F/0/1/0/all/0/1">Federico Agustin Membiela</a>
We study statistical relationships between bubble walls in cosmological
first-order phase transitions. We consider the conditional and joint
probabilities for different points on the walls to remain uncollided at given
times. We use these results to discuss surface correlations which are relevant
for the consequences of the transition. In our statistical treatment, the
kinematics of bubble nucleation and growth is characterized by the nucleation
rate and the wall velocity as functions of time, and we obtain general
expressions in terms of these two quantities. As a specific example, we
consider a model with simultaneous nucleation and constant velocity.
We study statistical relationships between bubble walls in cosmological
first-order phase transitions. We consider the conditional and joint
probabilities for different points on the walls to remain uncollided at given
times. We use these results to discuss surface correlations which are relevant
for the consequences of the transition. In our statistical treatment, the
kinematics of bubble nucleation and growth is characterized by the nucleation
rate and the wall velocity as functions of time, and we obtain general
expressions in terms of these two quantities. As a specific example, we
consider a model with simultaneous nucleation and constant velocity.
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