Geometric explanation of anomalous finite-size scaling in high dimensions
arXiv:1612.01722 · doi:10.1103/PhysRevLett.118.115701
Abstract
We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on five-dimensional hypercubic lattices with free and periodic boundary conditions, by using geometric representations and recently introduced Markov-chain Monte Carlo algorithms. We show that previously observed anomalous behaviour for correlation functions, measured on the standard Euclidean scale, can be removed by defining correlation functions on a scale which correctly accounts for windings.
5 pages, 4 figures
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Cited by in corpus (15)
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