SELF-ORGANIZED CRITICAL-DYNAMICS OF FRONTS - INTERMITTENCY AND MULTISCALING

Citation
J. Falk et al., SELF-ORGANIZED CRITICAL-DYNAMICS OF FRONTS - INTERMITTENCY AND MULTISCALING, Chaos, solitons and fractals, 5(10), 1995, pp. 1847-1854
Citations number
22
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
ISSN journal
09600779
Volume
5
Issue
10
Year of publication
1995
Pages
1847 - 1854
Database
ISI
SICI code
0960-0779(1995)5:10<1847:SCOF-I>2.0.ZU;2-D
Abstract
We present recent work on punctuated dynamics of fronts. This kind of dynamics drives the evolving front to a critical state with temporal m ultiscaling of the interface profile due to intermittent activity char acterized by avalanches which connect regions of recent local activity . This activity pattern exhibits non-trivial power-law correlations in space and time. We present numerical results in both 1+1 and 2+1 dime nsions and generalize a theory for the critical exponents to all dimen sions.