{ "id": "1710.05349", "version": "v1", "published": "2017-10-15T15:48:52.000Z", "updated": "2017-10-15T15:48:52.000Z", "title": "Large fluctuations and dynamic phase transition in a system of self-propelled particles", "authors": [ "Francesco Cagnetta", "Federico Corberi", "Giuseppe Gonnella", "Antonio Suma" ], "comment": "6 pages, 4 figures", "journal": "Phys. Rev. Lett. 119, 158002 (2017)", "doi": "10.1103/PhysRevLett.119.158002", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study the statistics, in stationary conditions, of the work $W_\\tau$ done by the active force in different systems of self-propelled particles in a time $\\tau$. We show the existence of a critical value $W_\\tau ^\\dag$ such that fluctuations with $W_\\tau >W_\\tau ^\\dag$ correspond to configurations where interaction between particles plays a minor role whereas those with $W_\\tau < W_\\tau ^\\dag$ represent states with single particles dragged by clusters. This two-fold behavior is fully mirrored by the probability distribution $P(W_\\tau)$ of the work, which does not obey the large-deviation principle for $W_\\tau