Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

R Metzler, JH Jeon, AG Cherstvy… - Physical Chemistry …, 2014 - pubs.rsc.org
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

WELL-POSEDNESS OF ABSTRACT DISTRIBUTED-ORDER FRACTIONAL DIFFUSION EQUATIONS.

J Jia, J Peng, K Li - Communications on Pure & Applied …, 2014 - search.ebscohost.com
In this paper, based on distributed-order fractional diffusion equation we propose the
distributed-order fractional abstract Cauchy problem (DFACP) and study the well-posedness …

Anomalous transport in fractal media with randomly inhomogeneous diffusion barrier

OA Dvoretskaya, PS Kondratenko - Transport in porous media, 2014 - Springer
We investigate a contaminant transport in fractal media with randomly inhomogeneous
diffusion barrier. The diffusion barrier is a low-permeable matrix with rare high-permeability …

Randomness in biological transport

BM Regner - 2014 - escholarship.org
Random fluctuations play a fundamental role in all biological processes, from diffusion-
reaction pathways to the stochasticity inherent to genetic variability. Determining how these …

[PDF][PDF] Randomness in Biological Systems

BM Regner - 2014 - eng.ucsd.edu
When Robert Brown made observations of the eponymous Brownian motion, he initially
attributed the erratic movement of pollen grains to an intrinsic “life force”. Subsequent …