Solvable dynamics in a system of interacting random tops
arXiv:cond-mat/9705213 · doi:10.1103/PhysRevLett.80.6
Abstract
In this letter a new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops with random precession frequencies. The model allows for an explicit study of orientational effects in synchronized phenomena. A stability analysis of the incoherent solution is performed for different types of orientational disorder. A system with only orientational disorder always synchronizes in the absence of external noise.
6 Pages including 1 figure, Revtex