Avalanche structure in a running sandpile model.

نویسندگان

  • B A Carreras
  • V E Lynch
  • D E Newman
  • R Sanchez
چکیده

The probability distribution function of the avalanche size in the sandpile model does not verify strict self-similarity under changes of the sandpile size. Here we show the existence of avalanches with different space-time structure, and each type of avalanche has a different scaling with the sandpile size. This is the main cause of the lack of self-similarity of the probability distribution function of the avalanche sizes, although the boundary effects can also play a role.

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

Statistical field theory of hierarchical avalanche ensemble

Based on the synergetic approach, the theory of a single avalanche formation is presented for the simplest sandpile model. The stationary values of sand velocity, slope and avalanche intensity are derived as functions of control parameter (externally driven sandpile tilt). The statistical ensemble of avalanche intensities is considered to investigate diffusion in ultrametric space of hierarchic...

متن کامل

Avalanche in States; Combination of Sandpile and Cellular Automata for Generate Random Numbers

Cellular Automata (CA) is a self organizing structure with complex behavior which can be used in pseudo-random numbers generation(PRNG). Pure CA has a simple structure but has no ability to produce long sequences of random numbers. In order to rectify this problem, programmable CA (PCA), using stimulating factor or combination of different self organizing Criticality phenomenon can be used. In ...

متن کامل

Numerical Determination of the Avalanche Exponents of the Bak-Tang-Wiesenfeld Model

We consider the Bak-Tang-Wiesenfeld sandpile model on a two-dimensional square lattice. The avalanche cluster distributions are measured on very large system sizes (L 4096). We introduce a new method for analyzing the data which reduces the nite-size eeects of the measurements. A detailed analysis of the determination of the exponents characterizing the size, area and duration of the avalanches...

متن کامل

On the Avalanche-finiteness of Abelian Sandpiles

We prove a necessary and sufficient condition for an Abelian Sandpile Model (ASM) to be avalanche-finite, namely: all unstable states of the system can be brought back to stability in finite number of topplings. The method is also computationally feasible since it involves no greater than O (

متن کامل

Critical and non-critical avalanche behavior in networks of integrate-and-fire neurons

We study avalanches of spike activity in fully connected networks of integrate-andre neurons which receive purely random input. In contrast to the self-organized critical avalanche behavior in sandpile models, critical and non-critical behavior is found depending on the interaction strength. Avalanche behavior can be readily understood by using combinatorial arguments in phase space.

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 66 1 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2002