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Shocks generate crossover behavior in lattice avalanches.

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  • 1Department of Mathematics, University of Portsmouth, PO1 3HF, United Kingdom.

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This summary is machine-generated.

A new spatial avalanche model shows that stabilizing failures, like landslides, create a power-law crossover in size distribution when triggered by external shocks. This model applies to systems with critical points and destabilizing events.

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Area of Science:

  • Geophysics
  • Complex Systems Science
  • Statistical Mechanics

Background:

  • Many natural and engineered systems exhibit critical phenomena, characterized by abrupt shifts in behavior.
  • Understanding the dynamics of systems prone to catastrophic failures, such as landslides, is crucial for risk assessment.
  • Previous models often simplified the spatial interactions and driving forces leading to such events.

Purpose of the Study:

  • To introduce a spatial avalanche model that incorporates stabilizing failures driven by external shocks.
  • To investigate the statistical signatures left by destabilizing events in a typically subcritical system.
  • To explore the applicability of the model to diverse systems exhibiting similar dynamics.

Main Methods:

  • Development of a spatial avalanche model with localized stabilization effects.
  • Simulation of a globally driven system incorporating intermittent, dramatic destabilizing shocks.
  • Analysis of the avalanche size distribution to identify power-law crossovers.

Main Results:

  • The model demonstrates that avalanches increase local stability post-event.
  • External shocks can temporarily drive the system to a near- or supercritical state.
  • A distinct power-law crossover in the avalanche size distribution serves as a signature of these shock events.

Conclusions:

  • The introduced spatial avalanche model provides a framework for understanding systems with stabilizing failures.
  • The power-law crossover in avalanche size distribution is a key indicator of system response to external destabilizing shocks.
  • The model's principles are broadly applicable to various critical systems undergoing destabilization, including geological and potentially other complex systems.