Ising-like models on Euclidean black holes
arXiv:2306.08547 · doi:10.1088/1361-6382/ad0b9a
Abstract
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.
arXiv comment13 pages, 8 figures, 1 table
References in corpus (7)
- Statistical mechanics of complex networks
- An efficient, multiple range random walk algorithm to calculate the density of states
- Hyperbolic and Semi-Hyperbolic Surface Codes for Quantum Storage
- Universality of the Ising Model on Sphere-like Lattices
- Critical properties of the Ising model in hyperbolic space
- Probing the Unruh effect with an accelerated extended system
- Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices