Related Experiment Video
Updated: Apr 19, 2026

Sealable Femtoliter Chamber Arrays for Cell-free Biology
Published on: March 11, 2015
Interplay between noise and higher-order interactions in the stochastic Kuramoto model: From enhancement to explosive
Dong Yu1, Yirui Tang1, Yipeng Hu2
1Yangtze University, School of Physics and Optoelectronic Engineering, Jingzhou, Hubei 434023, China.
None:
The interplay between noise and higher-order interactions shapes collective dynamics in complex systems. While noise is traditionally regarded as a disordering force, this study demonstrates its dual role in the Kuramoto model with simplicial complexes. By extending the Ott-Antonsen reduction to the stochastic domain, a low-dimensional mean-field theory is developed, yielding an exact effective potential landscape. This framework reveals that common pairwise-interaction noise acts constructively, creating a concave potential correction that enhances synchronization and significantly expands the bistable region. In contrast, the impact of higher-order interaction noise is strictly gated by the pairwise coupling, creating a singularity at incoherence that either expands the bistable region or structurally protects the pure synchronized state. Furthermore, the mechanism of noise-induced explosive synchronization is quantified via mean first-passage time theory, identifying the transition as a timescale competition between barrier crossing and observation window. These findings provide a thermodynamic framework for understanding noise-controlled switching in higher-order networks, demonstrating how noise, by reshaping the effective potential, governs synchronization transitions and enables abrupt ordering under certain conditions.
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
Sound Waves: Interference
Interference and Superposition of Waves
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Entropy Changes Accompanying Specific Processes
Propagation of Uncertainty from Random Error
Poisson's And Laplace's Equation

