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1/f noise in the Ising model

2025/03/06 by Chhimpa, Rahul, Yadav, Avinash Chand · 1 citation
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2503.04105

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 non-trivial long-time correlation of a logarithmically decaying form or the corresponding power spectral density follows canonical 1/f noise.

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