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Updated: May 18, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
Published on: August 5, 2016
Power spectrum of mass and activity fluctuations in a sandpile
Avinash Chand Yadav1, Ramakrishna Ramaswamy, Deepak Dhar
1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
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.
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