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Ising-like models on Euclidean black holes

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arxiv 2306.08547 v1 pith:Q4O2F7T6 submitted 2023-06-14 gr-qc hep-th

classification gr-qchep-th
keywords blackholemasseuclideanholesmodelsorderphase
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture

    gr-qc 2025-02 reject novelty 4.0 of 10

    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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