We continue the study of the time synchronization model from arXiv:1201.2141 . There are two types i = 1, 2 of particles on the line R, with N i particles of type i . Each particle of type i moves with constant velocity v i . Moreover, any particle of type i = 1, 2 jumps to any particle of type j = 1, 2 with rates N −1 j α ij . We find phase transitions in the clusterization (synchronization) behaviour of this system of particles on different time scales t = t(N ) relative to N = N 1 + N 2 .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.