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The generic alignment conjecture states that for almost every initial data onthe torus solutions to the Cucker-Smale system under a strictly localcommunication rule align to the common mean velocity. In this note we present apartial resolution of this conjecture using a statistical mechanics approach.First, the conjecture holds in full for the sticky particle model representing,formally, infinitely strong local communication. In the classical case theconjecture is proved when $N$, the number of agents, is equal to $2$. Itfollows from a more general result stating that for a system of any size foralmost every data at least two agents align.  The analysis is extended to the open space $\R^n$ in the presence ofconfinement and potential interaction forces. In particular, it is shown thatalmost every non-oscillatory pair of solutions aligns and aggregates in thepotential well.

Statistical approach to self-organization: generic alignment conjecture for systems of Cucker-Smale type