Inhomogeneous sandpile model: Crossover from multifractal scaling to finite-size scaling.

نویسنده

  • Jozef Cernák
چکیده

We study an inhomogeneous sandpile model in which two different toppling rules are defined. For any site only one rule is applied corresponding to either the Bak, Tang, and Wiesenfeld model [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)] or the Manna two-state sandpile model [S. S. Manna, J. Phys. A 24, L363 (1991)]. A parameter c is introduced which describes a density of sites which are randomly deployed and where the stochastic Manna rules are applied. The results show that the avalanche area exponent tau a, avalanche size exponent tau s, and capacity fractal dimension Ds depend on the density c. A crossover from multifractal scaling of the Bak, Tang, and Wiesenfeld model (c = 0) to finite-size scaling was found. The critical density c is found to be in the interval 0 < c < 0.01. These results demonstrate that local dynamical rules are important and can change the global properties of the model.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Crossover 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 کامل

Avalanching Systems with Longer Range Connectivity: Occurrence of a Crossover Phenomenon and Multifractal Finite Size Scaling

Many out-of-equilibrium systems respond to external driving with nonlinear and self-similar dynamics. This near scale-invariant behavior of relaxation events has been modeled through sand pile cellular automata. However, a common feature of these models is the assumption of a local connectivity, while in many real systems, we have evidence for longer range connectivity and a complex topology of...

متن کامل

M ar 2 00 4 Crossover component in non - critical dissipative sandpile models

Sandpile models in one dimension with bulk dissipation are presented. The effect of the introduction of bulk dissipation ǫ on non-critical one-dimensional models namely local limited (LL), local unlimited (LU), non local limited (NLL), and non local unlimited (NLU) models is investigated. We show numerically that these models exhibit a crossover to a self-organized critical behavior as the cont...

متن کامل

Scaling anti universality in avalanches Leo

We have studied various oneand two-dimensional models in order to simulate the behavior of avalanches. The models are based on cellular automata and were intended to have the property of "self-organized criticality" proposed by Bak, Tang, and Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 384 (1988)]. By varying the sizes of the systems, we have investigated the scaling propertie...

متن کامل

Multifractal properties of power-law time sequences: Application to rice piles

We study the properties of time sequences extracted from a self-organized critical system, within the framework of the mathematical multifractal analysis. To this end, we propose a fixed-mass algorithm, well suited to deal with highly inhomogeneous one-dimensional multifractal measures. We find that the fixed-mass ~dual! spectrum of generalized dimensions depends on both the system size L and t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 73 6 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2006