240601 - 1 1 f Noise and Extreme Value Statistics
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چکیده
We study 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, the Fisher-Tippett-Gumbel (FTG) distribution, emerges as the scaling function when boundary conditions are periodic. We provide a realistic example of periodic 1 f noise, and demonstrate by simulations that the FTG 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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تاریخ انتشار 2001