1/f Noise and Extreme Value Statistics

Details 1/f Noise and Extreme Value Statistics 1/f Noise and Extreme Value Statistics

2001-05-30

arxiv.org/abs/cond-mat/0105599v1

Phys.Rev.Lett. 87, 240601 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 postscript figures, RevTex

Scientific paper

10.1103/PhysRevLett.87.240601

We study the finite-size scaling of the roughness of signals in systems displaying Gaussian 1/f power spectra. It is found that one of the extreme value distributions (Gumbel distribution) emerges as the scaling function when the boundary conditions are periodic. We provide a realistic example of periodic 1/f noise, and demonstrate by simulations that the Gumbel distribution is a good approximation for the case of nonperiodic boundary conditions as well. Experiments on voltage fluctuations in GaAs films are analyzed and excellent agreement is found with the theory.

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