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 .
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 discuss in details the initial desynchronization of this particle system, namely, we are interested in behaviour of the process when the total number of particles N 1 + N 2 tends to infinity, N 1 /N 2 → const and the time t > 0 is fixed.
. Each particle moves with constant speed, initially prescribed to it. When particle and antiparticle collide, they both disappear. It is the only interaction in the system. We find explicitly the large time asymptotics of β t -the coordinate of the last collision before t between particle and antiparticle.
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