Why the nature needs 1/f-noise

TL;DR

This paper explores the fundamental origins of 1/f-noise in nature, emphasizing its connection to the complex microstates of many-particle systems and criticizing the traditional probabilistic assumptions used in its analysis.

Contribution

It challenges the conventional application of probability theory to physical phenomena, proposing a new perspective on the origin of 1/f-noise rooted in statistical mechanics.

Findings

1/f-noise arises from the dependence on initial microstates in many-particle systems.

Traditional notions of independence in probability theory are inadequate for explaining 1/f-noise.

Flicker fluctuations in diffusivity and mobility are inherent in physical systems due to microstate dependencies.

Abstract

Low-frequency 1/f-noise occurs at all levels of the nature organization and became an actual factor of nanotechnologies, but in essence it remains misunderstood by its investigators. Here, once again it is pointed out that such the state of affairs may be caused by uncritical application of probability theory notions to physical random phenomena, first of all the notion of "independence". It is shown that in the framework of statistical mechanics no medium could provide an inner wandering particle with quite certain value of diffusivity and mobility, thereby producing flicker fluctuations of these quantities. This is example of realization of universal 1/f-noise origin in many-particle systems: dependence of time progress of any particular relaxation or transport process on the whole system's detailed initial microstate