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November 9, 2025Open Access

Mean-field approach to finite-size fluctuations in the Kuramoto-Sakaguchi model

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Authors

OOOleh E. Omel’chenkoUniversity of PotsdamGGGeorg A. GottwaldThe University of Sydney

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Overview

Analytical results reveal variance in the complex order parameter of interacting particle systems, suggesting new insights on synchronization.

Key Points

  • Variance of the complex order parameter was explicitly determined, revealing insights into synchronization behavior.
  • The covariance function was derived analytically and matched with numerical simulations to validate findings.
  • Mean-field approach analyzes finite-size fluctuations using analytical methods along with simulation corroboration.
  • The framework can extend to other particle systems, highlighting its versatility in describing synchronized states.

Cite This Study

Omel’chenko et al. (2025) studied this question.

synapsesocial.com/papers/690fdce2f60c54d04ea382bahttps://doi.org/10.48550/arxiv.2511.03700
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