Self-similarity of the 1/f(3) turbulent electrochemical noise

Citation
Bm. Grafov et al., Self-similarity of the 1/f(3) turbulent electrochemical noise, RUSS J ELEC, 35(6), 1999, pp. 683-687
Citations number
20
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
RUSSIAN JOURNAL OF ELECTROCHEMISTRY
ISSN journal
10231935 → ACNP
Volume
35
Issue
6
Year of publication
1999
Pages
683 - 687
Database
ISI
SICI code
1023-1935(199906)35:6<683:SOT1TE>2.0.ZU;2-M
Abstract
shown theoretically and confirmed experimentally, in a solution stirred cha otically with a stirrer, spectral density of turbulent fluctuations of the limiting diffusion current is a 1/f(3) noise at frequencies exceeding that of relaxation of the stationary diffusion layer. Normalized to its own valu e at the minimum frequency, the spectral density possesses self-similarity and is directly proportional to the rate of steady turbulent mass transfer to the sixth power and inversely proportional to the product of the molecul ar diffusion coefficient of the electroactive substance, D, and the frequen cy of the spectral analysis to the third power. A relationship is derived f or estimating:D without recourse to the kinetic viscosity of solution.