1/f fluctuation in a discrete one-dimensional diffusion system

Citation
H. Akabane et al., 1/f fluctuation in a discrete one-dimensional diffusion system, JPN J A P 1, 39(7A), 2000, pp. 4241-4244
Citations number
9
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Volume
39
Issue
7A
Year of publication
2000
Pages
4241 - 4244
Database
ISI
SICI code
Abstract
A one-dimensional diffusion system is considered to be a convenient tool to generate 1/f fluctuations by a computer, since its frequency response to t he driving force concentrated at one point is proportional to 1/root f. How ever, the frequency response of a discrete diffusion system depends not onl y on the spatial increment and time step but also on the type of finite dif ference used to approximate the derivative. In the present paper, we specif y the conditions under which a discrete diffusion system has a frequency re sponse strictly proportional to 1/root f.