2001/01/29 by Silvia De Monte, De Monte, Silvia, Francesco d'Ovidio +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0101441
8 pages, 3 figures, LaTeX, submitted to PRL
arxiv created 2001/01/29 · arxiv updated 2009/11/30
Using an expansion in order parameters, the equation of motion for the centroid of globally coupled oscillators with natural frequencies taken from a distribution is obtained for the case of high coupling, low dispersion of natural frequencies and any number of oscillators. To the first order, the system can be approximated by a set of four equations, where the centroid is coupled with a second macroscopic variable, which describes the dynamics of the oscillators around their average. This gives rise to collective effects that suggest experiments aimed at measuring the parameters of the population.