Metastability for the Ising Model on the Hypercube |
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Authors: | Oliver Jovanovski |
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Institution: | 1.Mathematical Institute,Leiden University,Leiden,The Netherlands |
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Abstract: | We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration with a “\(-1\)” at every vertex, to the configuration with a “\(+1\)” at each vertex) in the limit as the inverse temperature \(\beta \rightarrow \infty \). |
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