Scaling laws and relaxation rate at first order desynchronization.

Authors

Ayushi Suman, Sarika Jalan

Published in

Physical review. E. Volume 114. Issue 1. Pages L012202.

Abstract

While divergences in correlation length and time, hallmarks of criticality, have been established for second-order transitions to synchronization in the Kuramoto model, a comprehensive understanding of analogous scalings for abrupt transitions to desynchronization remains elusive. Through simulations and analytical calculations, we investigate this discontinuous transition for the Kuramoto model with higher-order interactions. We report the emergence of critical slowing down, marked by a diverging relaxation time near the threshold. We verify a finite-time, finite-size scaling by applying the homogeneity assumption using system size, coupling strength, and time as relevant parameters. This work extends the theoretical foundations of critical scaling to include abrupt transitions in coupled oscillator systems.

PMID:
42629788
Bibliographic data and abstract were imported from PubMed on 22 Aug 2026.

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