Criticality and Universality of the Generalized Kuramoto Model.

Authors

Zhongpu Qiu, Tianyi Wu, Sheng Fang, Jun Meng, Jingfang Fan

Published in

Physical review letters. Volume 137. Issue 14. Pages 147201. Oct 02, 2026.

Abstract

We explore synchronization transitions in a generalized Kuramoto model with n-dimensional vector oscillators on complete graphs (CG) and on d-dimensional lattices. On the CG, we analytically derive universal critical exponents (β,ν[over ¯])=(1/2,5/2) for all even n. Through the Botet-Jullien-Pfeuty relation, the CG exponent ν[over ¯]=5/2 predicts an upper critical dimension d_{u}=5 for the corresponding lattice models. For locally coupled systems with d

PMID:
42886946
Bibliographic data and abstract were imported from PubMed on 17 Oct 2026.

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