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The Paper Problems for further study The Program The Source Code More on Hysteresis |
## The Paper## Hysteresis, Avalanches, and Noise: Numerical MethodsMatthew C. Kuntz, Olga Perkovic, Karin A. Dahmen,Bruce W. Roberts, and James P. Sethna ## AbstractIn studying the avalanches and noise in a model of hysteresis
loops, we have developed two relatively straightforward algorithms
which have allowed us to study large systems efficiently. Our model
is the random-field Ising model at zero temperature, with
deterministic albeit random dynamics. The first algorithm,
implemented using sorted lists, scales in computer time as O(N log N),
and asymptotically uses N*sizeof(double)+N*sizeof(int) bytes of
memory. The second algorithm, which never generates the random
fields, scales in time as O(N log N) and asymptotically needs storage
of only one ## Download the paperThe complete paper is available for download in several formats: |

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).