Issues

 / 

2015

 / 

July

  

Methodological notes


Why nature needs 1/f-noise


A.A. Galkin Donetsk Physical-Technical Institute, ul. R. Lyuksemburg 72, Donetsk, 340114, Ukraine

While ubiquitous at all levels of nature's organization, including objects of today's nanotechnology, the low-frequency 1/f-noise is not yet understood. A possible reason is the uncritical application of probability theory concepts, primarily that of independence, to physical random phenomena. It is shown that in the framework of statistical mechanics no medium can impart a certain definite diffusivity and mobility to a particle that performs a random walk through it, which gives rise to flicker fluctuations in these properties. This example realizes a 1/f-noise source universal for many-particle systems, namely, the dependence of time behavior of any particular relaxation or transport process on the details of initial microstate of the system as a whole.

Fulltext pdf (190 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0185.201507d.0773
Keywords: 1/f-noise, molecular random walks, Brownian motion, statistical mechanics of transport processes, dynamical foundations of kinetics, deterministic chaos in many-particle systems
PACS: 05.20.Jj, 05.40.Fb (all)
DOI: 10.3367/UFNe.0185.201507d.0773
URL: https://ufn.ru/en/articles/2015/7/d/
000364717000004
2-s2.0-84944883397
2015PhyU...58..719K
Citation: Kuzovlev Yu E "Why nature needs 1/f-noise" Phys. Usp. 58 719–729 (2015)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 22nd, January 2015, revised: 24th, April 2015, 28th, April 2015

Îðèãèíàë: Êóçîâëåâ Þ Å «Ïî÷åìó ïðèðîäå íóæåí 1/f øóì» ÓÔÍ 185 773–783 (2015); DOI: 10.3367/UFNr.0185.201507d.0773

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions