Sampling rare fluctuations of height in the Oslo ricepile model


We describe a new Monte Carlo algorithm for studying large deviations of the height of the pile from its mean value in the Oslo ricepile model. We have used it to generate these events, which have probabilities of order $10^$. These simulations check our qualitative argument [Phys. Rev. E, {\bf 73}, 021303, 2006] that in steady state of the Oslo ricepile model, the probability of large negative height fluctuations $\Delta h=-\alpha L$ about the mean varies as $\exp(-\kappa {\alpha}4 L3)$ as $L \rightarrow \infty$ with $\alpha $ held fixed, and $\kappa > 0$.

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