0 Continuously varying exponents in a sandpile model with dissipation near surface
نویسنده
چکیده
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as c t . For χ > 1 the disorder is irrelevant. For χ < 1, it is relevant and the model is no longer critical for any nonzero c. For χ = 1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this dependence exactly, and verify the results with simulations.
منابع مشابه
Continuously Varying Exponents in a Sandpile Model with Dissipation Near Surface
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as c t . For χ > 1 the disorder is irrelevant. For χ < 1, it is relevant and the model is no longer critical for any nonzero c. For χ = 1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this depen...
متن کاملEffects of bulk dissipation on the critical exponents of a sandpile.
Bulk dissipation of a sandpile on a square lattice with the periodic boundary condition is investigated through a dissipating probability f during each toppling process. We find that the power-law behavior is broken for f>10(-1) and not evident for 10(-1)}>f>10(-2). In the range 10(-2)>or=f>or=10(-5), numerical simulations for the toppling size exponents of all, dissipative, and last waves have...
متن کاملSelf-organized branching processes: Avalanche models with dissipation.
We explore, in the mean-field approximation, robustness with respect to dissipation of self-organized criticality in sandpile models. To this end, we generalize a recently introduced self-organized branching process, and show that the model self-organizes not into a critical state but rather into a subcritical state: when dissipation is present, the dynamical fixed point does not coincide with ...
متن کاملCrossover Component in Non Critical Dissipative Sandpile Models
The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show numerically that the local limited (LL) model exhibits a crossover from multifractal to self-similar behavior as the control parameters h ext and ǫ turn towards their critical values, i.e. h ext → 0 + and ǫ → ǫ c. The critical exponents are not universal an...
متن کاملSoil Creep and Convex Upward Velocity Profiles
The movement of unconsolidated materials near the Earth’s surface is often driven by disturbances that occur at a range of spatial and temporal scales. The nature of these disturbances ranges from highly variable, such as tree turnover, to periodic and predictable, such as frost heave or creep. To explore the effect of probabilistic disturbances on surface processes, we formulated a granular cr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008