Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-25
Phys.Rev. D59 (1999) 045017
Physics
High Energy Physics
High Energy Physics - Phenomenology
several modifications including new abstract, comparison with froth models, asymptotics of coordination number distribution, f
Scientific paper
10.1103/PhysRevD.59.045017
We study random bubble lattices which can be produced by processes such as first order phase transitions, and derive characteristics that are important for understanding the percolation of distinct varieties of bubbles. The results are relevant to the formation of topological defects as they show that infinite domain walls and strings will be produced during appropriate first order transitions, and that the most suitable regular lattice to study defect formation in three dimensions is a face centered cubic lattice. Another application of our work is to the distribution of voids in the large-scale structure of the universe. We argue that the present universe is more akin to a system undergoing a first-order phase transition than to one that is crystallizing, as is implicit in the Voronoi foam description. Based on the picture of a bubbly universe, we predict a mean coordination number for the voids of 13.4. The mean coordination number may also be used as a tool to distinguish between different scenarios for structure formation.
Laix Andrew de
Vachaspati Tanmay
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