Physical Review Letters · 2003 · 104 citations · 16 references
Natural SciencesPhysicsAcousticsDynamical SystemsStochastic ProcessesAvalanche ProcessesAvalanche ScienceNoiseRandom VibrationAvalanche DynamicsAvalanche NoiseBarkhausen NoiseMagnetic Noise
Many systems respond to slowly changing external conditions with crackling noise, created by avalanches or pulses with a broad range of sizes. Examples range from Barkhausen noise (BN) in magnets to earthquakes. In this Letter, we discuss the effects of increasing driving rate Omega on the scaling behavior of the avalanche size and duration distributions as well as qualitative effects of Omega on the power spectra. We derive an exponent inequality as a criteria for the relevance of Omega. To illustrate these general results, we use recent experiments on BN as a successful example.
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Per Bak, Chao Tang, Kurt Wiesenfeld · Physical review. A, General physics · 1988 · 4.7K citations
Seismicity of the Earth and Associated Phenomena
J. B. Auden, B. Gutenberg, C. F. Richter · Geographical Journal · 1957 · 1.5K citations
James P. Sethna, Karin A. Dahmen, Christopher R. Myers · Nature · 2001 · 1.2K citations · Full text