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arXiv · 2207.14562

Sandpiles Subjected to Sinusoidal Drive

J. Cheraghalizadeh·M. A. Seifi MirJafarlou·M. N. Najafi
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Abstract

This paper considers a sandpile model subjected to a sinusoidal external drive with the time period $T$. We develop a theoretical model for the Green function in a large $T$ limit, which predicts that the avalanches are anisotropic and elongated in the oscillation direction. We track the problem numerically and show that the system shows additionally a regime where the avalanches are elongated in the perpendicular direction with respect to the oscillations. We find a transition point between these two regimes. The power spectrum of avalanche size and the grains wasted from the parallel and perpendicular directions are studied. These functions show power-law behaviour in terms of the frequency with exponents, which run with $T$.

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J. Cheraghalizadeh, M. A. Seifi MirJafarlou, M. N. Najafi. 2022-07-29. Sandpiles Subjected to Sinusoidal Drive. https://doi.org/10.1103/physreve.107.064132

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