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Long-range effects in granular avalanching.

P M Gleiser1, S A Cannas, F A Tamarit

  • 1Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina. pgleiser@fis.uncor.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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This study models granular flow in rice piles, revealing how grain rolling distance influences avalanche behavior. Long-range rolling effects explain observed crossovers from power law to stretched exponential dynamics in granular systems.

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Granular materials exhibit complex dynamics, including avalanche events.
  • Experimental observations in rice piles show crossovers between power law and stretched exponential behaviors.

Purpose of the Study:

  • To introduce a model for granular flow in a one-dimensional rice pile.
  • To incorporate long-range rolling effects of individual grains into the model.
  • To explain the observed crossover in granular dynamics.

Main Methods:

  • Developed a model for granular flow incorporating grain rolling probability proportional to r(-rho).
  • Analyzed the exponent rho's control over average rolling distance.
  • Investigated the relationship between rho and avalanche distribution behaviors.

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Main Results:

  • The model successfully describes the crossover from power law to stretched exponential behaviors.
  • Stretched exponential avalanche distributions are linked to a long-range regime (1
  • Power law distributions are associated with a short-range regime (rho>2).

Conclusions:

  • The crossover in granular dynamics is attributed to long-range effects and altered grain transport properties.
  • The exponent rho dictates whether average rolling distance scales with system size.
  • The model provides a framework for understanding avalanche dynamics in granular media.