The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of disorder and traps yields a decreasing survival probability with broad distribution (log normal). Exact enumerations, effective-medium approximation, and spectral analysis are employed. This one-dimensional model shows rather rich behaviors which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super-universal-class is suggested.
Diffusion and Trapping on a one-dimensional lattice
GIACOMETTI, Achille;
1996-01-01
Abstract
The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of disorder and traps yields a decreasing survival probability with broad distribution (log normal). Exact enumerations, effective-medium approximation, and spectral analysis are employed. This one-dimensional model shows rather rich behaviors which were previously believed to exist only in higher dimensionality. The possibility of a trapping-dominated super-universal-class is suggested.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Giacometti_PRE_96.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso chiuso-personale
Dimensione
215.29 kB
Formato
Adobe PDF
|
215.29 kB | Adobe PDF | Visualizza/Apri |
I documenti in ARCA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.