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Universality of dynamic scaling for avalanches in disordered Ising systems
1Department of Materials Science and Engineering, The Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA.
Summary
Disordered Ising models exhibit universal dynamic scaling in avalanches, with exponents dependent on disorder strength. Short-time scaling is confirmed and invariant across different avalanche types.
Area of Science:
- Statistical Physics
- Condensed Matter Physics
- Complex Systems
Background:
- Disordered systems exhibit complex dynamics, including phenomena like avalanches.
- Understanding dynamic scaling is crucial for characterizing the behavior of these systems.
Purpose of the Study:
- To investigate dynamic scaling in driven disordered Ising models.
- To determine the universality and characteristics of avalanche scaling exponents.
Main Methods:
- Monte Carlo simulations were employed to study random-field and random-bond Ising models.
- Analytical methods, including mean-field approximation, were used for early-stage analysis.
Main Results:
- Avalanches in both models show short-time dynamic power-law scaling.
- The dynamic scaling exponent distribution has two peaks: a universal theta(1) and a disorder-dependent theta(2).
- Short-time dynamic scaling was confirmed analytically for the random-field Ising model.
Conclusions:
- Dynamic scaling in driven disordered systems is universal at short times.
- The exponent theta(2) provides insight into the influence of disorder strength on avalanche behavior.
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