title: Time evolution of interacting vortices under overdamped motion.
abstract: A system of interacting vortices under overdamped motion, which has been commonly used in the literature to model flux-front penetration in disordered type-II superconductors, was recently related to a nonlinear Fokker-Planck equation, characteristic of nonextensive statistical mechanics, through an analysis of its stationary state. Herein, this connection is extended by means of a thorough analysis of the time evolution of this system. Numerical data from molecular-dynamics simulations are presented for both position and velocity probability distributions P(x,t) and P(v(x),t), respectively; both distributions are well fitted by similar q-Gaussian distributions, with the same index q=0, for all times considered. Particularly, the evolution of the system occurs in such a way that P(x,t) presents a time behavior for its width, normalization, and second moment, in full agreement with the analytic solution of the nonlinear Fokker-Planck equation. The present results provide further evidence that this system is deeply associated with nonextensive statistical mechanics.
authors.affiliation: Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro, RJ 22290-180, Brazil. ribeiro@cbpf.br
authors.forename: Mauricio S
authors.initials: MS
authors.lastname: Ribeiro
authors.forename: Fernando D
authors.initials: FD
authors.lastname: Nobre
authors.forename: Evaldo M F
authors.initials: EM
authors.lastname: Curado
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D009038:Motion; D017711:Nonlinear Dynamics; D012212:Rheology / Q000379:methods*; D014783:Viscosity