1/f noise in the Ising model.
basic_science · Level V
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- Record sourced from PubMed, PMID 40745721.
- Also identified by DOI 10.1103/4bpx-t6cq.
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Abstract
We simulate the N-spin critical Ising model on a square lattice using Glauber dynamics and consider the typical one-unit time equal to N single-spin-flip attempts. The divergence of correlation time with the linear extent of the system results in critical slowing down, a challenge to equilibration because the spin configurations generated in such a way are temporally correlated. We examine temporal correlations in the number of accepted spin flips and show a signature of nontrivial long-time correlation of a logarithmically decaying form, or the corresponding power spectral density follows canonical 1/f noise.