title: Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model.
abstract: We present simulations of the one-dimensional Oslo rice pile model in which the critical height at each site is randomly reset after each toppling. We use the fact that the stationary state of this sand-pile model is hyperuniform to reach system of sizes >10^{7}. Most previous simulations were seriously flawed by important finite-size corrections. We find that all critical exponents have values consistent with simple rationals: ν=4/3 for the correlation length exponent, D=9/4 for the fractal dimension of avalanche clusters, and z=10/7 for the dynamical exponent. In addition, we relate the hyperuniformity exponent to the correlation length exponent ν. Finally, we discuss the relationship with the quenched Edwards-Wilkinson model, where we find in particular that the local roughness exponent is α_{loc}=1.
authors.affiliation: JSC, FZ Jülich, D-52425 Jülich, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Grassberger
authors.affiliation: Tata Institute for Fundamental Research, Mumbai, India.
authors.forename: Deepak
authors.initials: D
authors.lastname: Dhar
authors.affiliation: Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata, India.
authors.forename: P K
authors.initials: PK
authors.lastname: Mohanty