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Related Experiment Videos

Directed fixed energy sandpile model.

R Karmakar1, S S Manna

  • 1Satyendra Nath Bose National Centre for Basic Sciences Block-JD, Sector-III, Salt Lake, Kolkata-700098, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
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We numerically studied a directed sandpile model on a square lattice. The system exhibits a continuous phase transition at a critical density, with stochastic models showing mean-field exponents.

Area of Science:

  • Complex systems
  • Statistical physics
  • Dynamical systems

Background:

  • Sandpile models are used to study self-organized criticality.
  • The directed version introduces asymmetry in grain movement.
  • Understanding phase transitions is crucial in complex systems.

Purpose of the Study:

  • To numerically investigate the directed fixed energy sandpile model.
  • To analyze the dynamical evolution of sand grains on a square lattice.
  • To identify and characterize phase transitions and critical behavior.

Main Methods:

  • Numerical simulations on a closed square lattice.
  • Study of the dynamical evolution of a fixed density of sand grains.
  • Analysis of system activity and phase transition properties.

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Main Results:

  • The system exhibits a continuous phase transition at a critical density.
  • The deterministic model shows nontrivial critical exponents.
  • The stochastic model is characterized by mean-field-like exponents.

Conclusions:

  • The directed fixed energy sandpile model displays a continuous phase transition.
  • Exponent behavior differs between deterministic and stochastic versions.
  • Results contribute to understanding critical phenomena in directed complex systems.