Yadav, Avinash Chand ; Ramaswamy, Ramakrishna ; Dhar, Deepak (2012) Power spectrum of mass and activity fluctuations in a sandpile Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 85 (6). Article ID 061114. ISSN 1539-3755
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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevE.85.061114
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 3n. 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 98816 |
Deposited On: | 14 May 2015 12:18 |
Last Modified: | 14 May 2015 12:18 |
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