Related Experiment Video
Updated: May 7, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Nonstandard scaling law of fluctuations in finite-size systems of globally coupled oscillators
Isao Nishikawa1, Gouhei Tanaka, Kazuyuki Aihara
1Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan.
Abstract:
Universal scaling laws form one of the central issues in physics. A nonstandard scaling law or a breakdown of a standard scaling law, on the other hand, can often lead to the finding of a new universality class in physical systems. Recently, we found that a statistical quantity related to fluctuations follows a nonstandard scaling law with respect to the system size in a synchronized state of globally coupled nonidentical phase oscillators [I. Nishikawa et al., Chaos 22, 013133 (2012)]. However, it is still unclear how widely this nonstandard scaling law is observed. In the present paper, we discuss the conditions required for the unusual scaling law in globally coupled oscillator systems and validate the conditions by numerical simulations of several different models.
Related Concept Videos
Scaling
Forced Oscillations
Damped Oscillations
Although friction and other non-conservative...
Limits with Oscillating Discontinuities
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Oscillations about an Equilibrium Position

