Iterated logarithm law for sizes of clusters in Arratia flow

The asymptotics of sizes of clusters for the Arratia flow is considered, the Arratia flow being a system of coalescing Wiener processes starting from the real axis and independent before they meet. A cluster at time $t$ is defined as a set of particles that have glued together not later than at $t.$ The results obtained are remarked to hold for any Arratia flow with a Lipschitz drift.