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DY: Fachverband Dynamik und Statistische Physik

DY 18: Pattern Formation, Delay and Nonlinear Stochastic Systems

DY 18.12: Talk

Tuesday, March 19, 2024, 12:45–13:00, BH-N 128

Modeling 1/f noise using models with overlapping pulses — •Aleksejus Kononovicius and Bronislovas Kaulakys — Institute of Theoretical Physics and Astronomy, Vilnius University, Vilnius, Lithuania

White noise and Brownian motion are well understood types of noise and fluctuations in variety of materials, devices, and other physical and non-physical systems. Universal nature of 1/f noise remains an elusive problem. Earlier we have considered an elementary model with non-overlapping rectangular pulses in a conductive material [1, 2]. We have shown that pure 1/f noise can be obtained only with long pulses and power-law distributed gaps (or vice versa). Taking the point process limit results in perversion of 1/f noise, which suggests that allowing pulses to touch can also cause perversion. Here we show that this intuition is wrong, even a model with overlapping pulses exhibits pure 1/f noise.

[1] A. Kononovicius, B. Kaulakys, PRE 107: 034117 (2023).

[2] A. Kononovicius, B. Kaulakys, arXiv:2306.07009.

Keywords: 1/f noise; long-range memory; random telegraph noise