Stretched exponential relaxation for growing interfaces in quenched disordered media
View/ Open
Identifiers
URI: http://arxiv.org/abs/cond-mat/0206545URI: http://hdl.handle.net/10317/581
ISSN: 1550-235X
Share
Metrics
Statistics
View Usage StatisticsMetadata
Show full item recordAuthor
Díaz Sánchez, Anastasio; Pérez Garrido, Antonio; Urbina Yeregui, Antonio; Catalá Galindo, José DamiánKnowledge Area
Física AplicadaSponsors
This work was supported in part by the project No. PI-60/00858/FS/01 from the Fundación Séneca, Región de Murcia.Publication date
2002-09Publisher
American Physical SocietyBibliographic Citation
DÍAZ SÁNCHEZ, A., PÉREZ GARRIDO, A., URBINA, A., CATALÁ, J.D. Stretched exponential relaxation for growing interfaces in quenched disordered media . Physical Review B, 66: 031403-1 - 031403-4, Septiembre, 2002. ISSN 1550-235XKeywords
Función de autocorrelación de dos tiemposTransformación de Fourier
Abstract
We study the relaxation for growing interfaces in quenched disordered media. We use a directed percolation depinning model introduced by Tang and Leschhorn for 1+1-dimensions. We define the two-time autocorrelation function of the interface height C(t′, t) and its Fourier transform. These functions depend on the difference of times t−t′ for long enough times, this is the steady-state regime.
We find a two-step relaxation decay in this regime. The long time tail can be fitted by a stretched exponential relaxation function. The relaxation time is proportional to the characteristic distance of the clusters of pinning cells in the direction parallel to the interface and it diverges as a power law.
The two-step relaxation is lost at a given wave length of the Fourier transform, which is proportional to the characteristic distance of the clusters of pinning cells in the direction perpendicular to the
interface. The stretched exponential relaxation is caused by the existence of clusters ...
Collections
- Artículos [1763]
The following license files are associated with this item:
Social media