title: Power spectrum of mass and activity fluctuations in a sandpile.
abstract: We consider a directed Abelian sandpile on a strip of size 2×n, driven by adding a grain randomly at the left boundary after every T timesteps. We establish the exact equivalence of the problem of mass fluctuations in the steady state and the number of zeros in the ternary-base representation of the position of a random walker on a ring of size 3^{n}. We find that while the fluctuations of mass have a power spectrum that varies as 1/f for frequencies in the range 3^{-2n}≪f≪1/T, the activity fluctuations in the same frequency range have a power spectrum that is linear in f.
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
authors.forename: Avinash Chand
authors.initials: AC
authors.lastname: Yadav
authors.forename: Ramakrishna
authors.initials: R
authors.lastname: Ramaswamy
authors.forename: Deepak
authors.initials: D
authors.lastname: Dhar
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D012822:Silicon Dioxide / Q000737:chemistry*
chemical_list: D003102:Colloids; D012822:Silicon Dioxide