Tracer particle transport dynamics in the diffusive sandpile cellular automaton Articles uri icon

publication date

  • November 2020

start page

  • 110117

end page

  • 110126


  • 140

International Standard Serial Number (ISSN)

  • 0960-0779

Electronic International Standard Serial Number (EISSN)

  • 1873-2887


  • The confinement properties of the diffusive running sandpile are characterized by tracking the motion of a population of marked grains of sand. It is found that, as the relative strength of the avalanching to the diffusive transport channel is varied, a point is reached at which the particle global confinement time and the probability density functions of the jump-sizes and waiting-times of the tracked grains experience a sudden change, thus revealing a dynamical transition, that is consistent with previous studies (Newman DE et al., Phys Rev Lett 2002;88(20):204304). Across this transition, the sandpile moves from a regime characterized by self-similarity and memory, where avalanches of all possible sizes dominate transport across the system, to another regime where transport is taken over by near system-size, quasi-periodic avalanches. Values for the fractional transport exponents that quantify effective transport across the sandpile prior to the transition are also obtained.


  • Physics


  • diffusive sandpile; fractional transport; self-organized criticality; tracer particles