1/f noise in extremal dynamics

2025/08/02 by Chhimpa, Rahul, Singh, Abha, Yadav, Avinash Chand
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2508.01327

Abstract

The Bak-Sneppen (BS) evolution model remains a well-studied example of self-organized criticality (SOC). We propose a simple variant of the BS model, where the global fitness fluctuations show 1/f^α noise with a spectral exponent nearly equal to 1 (pink noise). To further corroborate, we compute the two-time autocorrelation function that decays logarithmically. The 1/f noise in the global fitness is robust and hyper-universal. We identify the dominance of non-trivial local fitness cross-power spectra.

Citations

• 1/f noise in the Ising model
• Fitness fluctuations in Bak-Sneppen model
• 25 Years of Self-organized Criticality: Concepts and Controversies
• Punctuated equilibria and1/fnoise in a biological coevolution model with individual-based dynamics

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