✦ LIBER ✦

Anomalous non-gaussian diffusion in small disordered rings

✍ Scribed by Anatoly Yu. Smirnov; Alexander A. Dubkov

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 742 KB
Volume: 232
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(96)00042-8

No coin nor oath required. For personal study only.

✦ Synopsis

We analyze an equilibrium classical diffusion of a Brownian particle confined to a ring coated on a two-dimensional disordered film. The random potential modeling the interaction with the inhomogeneous medium is assumed to be Gaussian with a finite correlation length. With a microscopic method, we derive the second and fourth cumulant function of the particle's displacement at large times. It is shown that the disorder gives rise to a quadratic time dependence of the fourth cumulant (anomalous non-Gaussian diffusion), whereas the usual diffusion covered by the second cumulant remains normal. This points to the fact that the motion of a Brownian particle along the disordered ring is attended by nonergodic fluctuations in its diffusion coefficient.

📜 SIMILAR VOLUMES

On the anomalous diffusion behavior in d

On the anomalous diffusion behavior in disordered media

✍ K.G. Wang 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 332 KB

An anomalous diffusion in a long-range d

An anomalous diffusion in a long-range disordered lattice

✍ Bernard Gaveau; Alain Méritet 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 150 KB

We construct an exactly solvable model of a two-and three-dimensional disordered lattice which presents an anomalous diffusive behaviour.

Anomalous electrical conduction in disor

Anomalous electrical conduction in disordered and non-crystalline metallic conductors

✍ C.C. Tsuei 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 440 KB

Non-Markoffian diffusion in a one-dimens

Non-Markoffian diffusion in a one-dimensional disordered lattice

✍ Robert Zwanzig 📂 Article 📅 1982 🏛 Springer 🌐 English ⚖ 259 KB

Limitations of apparent diffusion coeffi

Limitations of apparent diffusion coefficient-based models in characterizing non-gaussian diffusion

✍ Chunlei Liu; Roland Bammer; Michael E. Moseley 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 464 KB

## Abstract Diffusion in complex heterogeneous structures, for example, the neural fiber system, is non‐gaussian. Recently, several methods have been introduced to address the issue of non‐gaussian diffusion in multifiber systems. Some are based on apparent diffusion coefficient (ADC) analysis; and

Age-related non-Gaussian diffusion patte

✍ Maria F. Falangola; Jens H. Jensen; James S. Babb; Caixia Hu; Francisco X. Caste 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB

## Abstract ## Purpose To characterize age‐related MR diffusion patterns of the prefrontal brain cortex microstructure using a new method for investigating the non‐Gaussian behavior of water diffusion called diffusional kurtosis imaging (DKI). ## Materials and Methods Measures of mean diffusivit