Avalanches, scaling, and coherent noise

Avalanches, scaling, and coherent noise.

We present a simple model of a dynamical system driven by externallyimposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a power-law size distribution. We explain the behavior of the model within a time-averaged approximation, and dis...

Avalanches , Scaling and Coherent

We present a simple model of a dynamical system driven by externally-imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a power-law size distribution. We explain the behavior of the model within a time-averaged approximation, and di...

Avalanches, Scaling, and Coherent Noise Typeset Using Revt E X

We present a simple model of a dynamical system driven slowly by externally-imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a universal power-law size distribution. We explain the behavior of the model within a time-averaged appr...

Hysteresis , Avalanches , and Noise

systems, especially when the time needed to implement the algorithm is included, the scaling of time and memory with system size becomes crucial for larger simulations. In our studies of hysteresis and avalanches in the zerotemperature random-field Ising model, a simple model of magnetism, we often have had to do very large simulations. Previous simulations were usually limited to relatively sm...

Hysteresis, Avalanches, and Barkhausen Noise