2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27961We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a new continuum theory that can account for the development of the symmetry broken state and belongs to the same universality class as the discrete SPP model.4 pages, 5 figuresStatistical MechanicsCollective motion of self-propelled particles: kinetic phase transition in one dimensiontext