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Setting Limits on Supersymmetry Using Simplified Models
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Published on: November 16, 2013

Dissipative sandpile models with universal exponents.

Ofer Malcai1, Yehiel Shilo, Ofer Biham

  • 1Racah Institute of Physics, The Hebrew University, Jerusalem, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 29, 2006
PubMed
Summary
This summary is machine-generated.

This study introduces a dissipative sandpile model where grains are removed. Adjusting dissipation allows its scaling properties to match conservative models, revealing universal behaviors in complex systems.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • The stochastic-Abelian sandpile model is a key model for studying self-organized criticality.
  • Understanding the impact of dissipation on critical phenomena is crucial for complex systems.

Purpose of the Study:

  • To investigate a dissipative variant of the stochastic-Abelian sandpile model.
  • To determine if dissipation affects the universality class of the model.
  • To find conditions under which the dissipative model's behavior matches conservative models.

Main Methods:

  • Simulations of a 2D lattice with closed boundaries.
  • Introduction of dissipation by removing toppled grains with probability epsilon.
  • Analysis of avalanche size distributions and scaling properties.

Main Results:

  • The dissipative model shares the universality class of stochastic-Abelian models with conservative dynamics and open boundaries.
  • A specific dissipation rate function, epsilon = f(L), can be found.
  • This function synchronizes the avalanche size distribution with that of a finite conservative model of size L.

Conclusions:

  • Dissipation does not necessarily alter the universality class of stochastic-Abelian sandpile models.
  • The model exhibits tunable critical behavior through controlled dissipation.
  • This work provides insights into the robustness of universality classes in driven-dissipative systems.