Produção Nacional
Time evolution of interacting vortices under overdamped motion
2012; American Physical Society; Volume: 85; Issue: 2 Linguagem: Inglês
10.1103/physreve.85.021146
ISSN1550-2376
AutoresMaurício Serra Ribeiro, Fernando Nobre, Evaldo M. F. Curado,
Tópico(s)Complex Systems and Time Series Analysis
ResumoA 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.
Referência(s)