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Bibliographic Details
Main Authors: Chhimpa, Rahul, Yadav, Avinash Chand
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.04105
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Table of Contents:
  • 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.