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Ising-like models on Euclidean black holes
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We study spin models on Euclidean black hole backgrounds. These resemble the Ising model, but are inhomogeneous with two parameters, the black hole mass and the cosmological constant. We use Monte-Carlo methods to study macroscopic properties of these systems for Schwarzschild and anti-deSitter black holes in four and five dimensions for spin-1/2 and spin-1. We find in every case that increasing the black hole mass causes the spins to undergo a second order phase transition from disorder to order and that the phase transition occurs at sub-Planckian black hole mass.
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Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
A Fock-space percolation model of a chiral spin chain is claimed to reproduce charged-black-hole scaling exponents, with exponential cluster growth proposed as the key formation criterion.
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