Relations of 1/ f and 1/ f 2 power spectra to self-organized criticality

1992; American Physical Society; Volume: 46; Issue: 6 Linguagem: Inglês

10.1103/physreva.46.r2981

ISSN

1538-4446

Autores

H. F. Chau, K. S. Cheng,

Tópico(s)

Stochastic processes and statistical mechanics

Resumo

We find that the discrete sandpile type of models in finite dimension under a uniform particle addition must result in 1/${\mathit{f}}^{2}$ or 1/(f+a${)}^{2}$ power spectrum depending on the existence of particle conservation law or not. However, their continuous counterparts may exhibit 1/f instead. This difference in power spectrum behavior can be expoained in terms of rate of relaxation of the system in the continuous models.

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