Criticality and Universality of the Generalized Kuramoto Model.

IF 9.4 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physical review letters Pub Date : 2026-10-02 DOI:10.1103/61hq-rs8x

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

引用次数: 0

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

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广义Kuramoto模型的临界性和普遍性。

我们在完全图（CG）和d维格上探讨了具有n维矢量振子的广义Kuramoto模型中的同步跃迁。在CG上，我们解析地导出了所有偶数n的普遍临界指数（β,ν[over¯]）=(1/2,5/2)。通过botet - jullian - pfety关系，CG指数ν[over¯]=5/2预测了相应格模型的上临界维数d_{u}=5。对于局部耦合系统

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical review letters 物理-物理：综合

CiteScore

16.50

自引率

7.00%

发文量

2673

审稿时长

2.2 months

期刊介绍： Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks