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• W1966201402 abstract "We present a rice-pile cellular automaton model that includes inertial and friction effects. This model is studied in one dimension, where the updating of metastable sites is done according to a stochastic dynamics governed by a probabilistic toppling parameter $p$ that depends on the accumulated energy of moving grains. We investigate the scaling properties of the model using finite-size scaling analysis. The avalanche size, the lifetime, and the residence time distributions exhibit a power-law behavior. Their corresponding critical exponents, respectively, $ensuremath{tau}$, $y$, and ${y}_{r}$, are not universal. They present continuous variation versus the parameters of the system. The maximal value of the critical exponent $ensuremath{tau}$ that our model gives is very close to the experimental one, $ensuremath{tau}=2.02$ [Frette et al., Nature (London) 379, 49 (1996)], and the probability distribution of the residence time is in good agreement with the experimental results. We note that the critical behavior is observed only in a certain range of parameter values of the system which correspond to low inertia and high friction." @default.
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• W1966201402 date "2008-11-19" @default.
• W1966201402 modified "2023-09-24" @default.
• W1966201402 title "Scaling properties of a rice-pile model: Inertia and friction effects" @default.
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• W1966201402 doi "https://doi.org/10.1103/physreve.78.051117" @default.
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