Long-tailed trapping times and Lévy flights in a self-organized critical granular system

Boguñá, MariánCorral, Álvaro2010-07-052010-07-0519970031-9007https://hdl.handle.net/2445/13252We present a continuous time random walk model for the scale-invariant transport found in a self-organized critical rice pile [K. Christensen et al., Phys. Rev. Lett. 77, 107 (1996)]. From our analytical results it is shown that the dynamics of the experiment can be explained in terms of Lvy flights for the grains and a long-tailed distribution of trapping times. Scaling relations for the exponents of these distributions are obtained. The predicted microscopic behavior is confirmed by means of a cellular automaton model.4 p.application/pdfeng(c) American Physical Society, 1997Física estadísticaEquacions d'estatStatistical physicsEquations of stateLong-tailed trapping times and Lévy flights in a self-organized critical granular systeminfo:eu-repo/semantics/article514100info:eu-repo/semantics/openAccess