title: Incoherent soliton turbulence in nonlocal nonlinear media.
abstract: The long-term behavior of a modulationally unstable nonintegrable system is known to be characterized by the soliton turbulence self-organization process: It is thermodynamically advantageous for the system to generate a large-scale coherent soliton in order to reach the ("most disordered") equilibrium state. We show that this universal process of self-organization breaks down in the presence of a highly nonlocal nonlinear response. A wave turbulence approach based on a Vlasov-like kinetic equation reveals the existence of an incoherent soliton turbulence process: It is advantageous for the system to self-organize into a large-scale, spatially localized, incoherent soliton structure.
authors.affiliation: Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS-Université de Bourgogne, 21078 Dijon, France.
authors.forename: Antonio
authors.initials: A
authors.lastname: Picozzi
authors.forename: Josselin
authors.initials: J
authors.lastname: Garnier