Titlebook: Anomalous Diffusion; From Basics to Appli Andrzej P?kalski,Katarzyna Sznajd-Weron Conference proceedings 1999 Springer-Verlag Berlin Heidel

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FEMUR

Macroscopic finite size effects in relaxational processes,l processes, the size of the system, although macroscopic, play a dominant role. There exist a crossover time . . that depends . on the size of the system, above which, the relaxation changes from a stretched exponential to a simple exponential decay. The decay rate also depends . on the size of the

小隔間

Diagnosis using photon diffusion: From brain oxygenation to the fat of the atlantic salmon,over current imaging and biopsy techniques. In order to understand and interpret the results of the measurements, a random-walk on a lattice is used to model photon diffusion in biological tissues. Applications of this method range from medicine (diagnosis of brain function (oxygenation) in neonates

Nefarious

Stochastic modelling of ion diffusion in complex systems,tures. After briefly discussing classes of solid ionic conductors with increasing complexity in their structural and transport behaviour, we shall focus on polymer electrolytes. A lattice model is described which emphasizes the asymmetry in the cation-polymer and anion-polymer interactions. Monte-Ca

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敘述

Fluctuations and their correlations in econophysics,, the Standard and Poor index of the 500 largest stocks. We extend the 6-year data base studied by Mantegna and Stanley by including the 13 years 1984–1996 inclusive, with a recording frequency of 15 seconds. The total number of data points in this 13 years period exceed 4.5 million, which allows fo

commune

Fronts and pattern formation in reaction-diffusion systems,many different theoretical tools. As often in nonequilibrium statistical mechanics, even the solutions of the simplest models are challenging. Many reaction-diffusion problems are still waiting to be solved.

audiologist

Entanglement effects in model polymer networks,r elastic systems are a long standing problem in statistical mechanics. Polymer networks with diamond lattice connectivity (Everaers and Kremer 1995, Everaers and Kremer 1996a) are idealized model systems which isolate the effect of topology conservation from other sources of quenched disorder. We s

浮夸

Models of cooperative diffusion, hopping and the asymmetric one-spin facilitated kinetic Ising model — have the common characteristic of a very rapid slowing down of particle or spin motion as a function of the control parameter. For the lattice gas model, Monte Carlo results — contrary to the result of an analytical pair approxim

CLAM

On fractional diffusion and its relation with continuous time random walks,are considered here for random walks. An exact relationship is established between the fractional master equation and a separable continuous time random walk of the Montroll-Weiss type. The waiting time density can be expressed using a generalized Mittag-Leffler function. The first moment of the waiting density does not exist.