Domain walls, percolation theory, and Abell clusters

Physics

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Domain Wall, Galactic Clusters, Percolation, Phase Transformations, Thermodynamic Equilibrium, Cosmology, Potential Energy, Red Shift, Topology

Scientific paper

We consider theories with late-time phase transitions that lead to the formation of energetically soft domain wall defects. These transitions occur in the vacuum state of a weakly coupled scalar field which is not in thermal equilibrium. The spatial properties and distribution of these domain walls are computed using percolation theory. Assuming spherical collapse of matter, the percolation results are used to accurately predict the richness distribution of Abell clusters.

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