Clustering behavior in globally coupled rotator systems

Spatial clustering behaviors in globally coupled rotator systems are explor ed, statistical properties of cluster and disordered states are analyzed, s caling relations between the averaged lifetime of the clustering states and the coupling parameter are obtained. It is pointed out that clustering beh avior also exists in the weakly antiferromagnetic case. Clustering is also investigated in terms of averaged localization in tangent space, it is show n that localization in tangent space corresponds to broken ergodicity. Infl uence of local coupling is studied, it is found that there exists a best lo cal coupling which possesses the longest lifetime.