Related Experiment Video
Updated: Aug 23, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Scaling laws and relaxation rate at first order desynchronization
1Indian Institute of Technology Indore, Complex Systems Lab, Department of Physics, Khandwa Road, Simrol, Indore 453552, India.
None:
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.
Related Concept Videos
Second Order systems II
If ζ...
Atomic Nuclei: Types of Nuclear Relaxation
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...
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 slanted or...
Second Order systems I
By reinterpreting the system, one can derive the closed-loop transfer function, which...
First Order Systems
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
