Sampling rare fluctuations of height in the Oslo ricepile model

Abstract

We have studied large deviations of the height of the pile from its mean value in the Oslo ricepile model. We sampled these very rare events with probabilities of order $10^{-100}$ by Monte Carlo simulations using importance sampling. These simulations check our qualitative arguement [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 $\exp (-\kappa {\alpha }^4{L}^3)$ as $L\to \infty$ with $\alpha$ held fixed, and $\kappa >0$.

arXiv comment7 pages, 8 figures

References in corpus (10)

• Exact Large Deviation Function in the Asymmetric Exclusion Process
• Fluctuations in Stationary non Equilibrium States
• Tracer Dispersion in a Self-Organized Critical System
• Go with the Winners: a General Monte Carlo Strategy
• The Oslo rice pile model is a quenched Edwards-Wilkinson equation
• Exact joint density-current probability function for the asymmetric exclusion process
• Exact probability function for bulk density and current in the asymmetric exclusion process
• Probability distribution of residence times of grains in models of ricepiles
• Steady State and Relaxation Spectrum of the Oslo Rice-pile
• Calculation of the transition matrix and of the occupation probabilities for the states of the Oslo sandpile model