In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

Optical diffusometry is a technique used for measuring diffusion. This work explores the possibility of directly measuring diffusion coefficients of submicron particles for pathogen detection. The diffusion coefficient of these particles is a function of the drag coefficient of the particle at constant temperatures. Particles introduced into a sample containing an analyte bind with the analyte ...

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with densitydependent diffusion coefficient encapsulating all microscopic details of the dynamics. This diffusion coefficient is, in principle, determined by a Green– Kubo formula. In practice, even when the equilibrium properties of a lattice gas are analytica...

1) Kwee TC, et al. JMRI 2008;28:1141-1148 2) Hollingsworth KG, et al. NMR Biomed 2006;19:231-235 3) Rosenkrantz A, et. al. Proc. ISMRM;2009;17:2065 4) Sadek AG et al. JMRI 1996;6(1):90-3. 5) LeBihan D, Radiology 1988;168:497-505, 1988 6) Haber E, et al. Lecture Notes in Comp. Sci. 2005:561-572 Figure 2: Relative changes in the diffusion components after a liquid meal. Notice perfusion fraction...

When studying diffusion weighted imaging(DWI), it is important to create a phantom that has a reliably controlled diffusion coefficient. In this study, we investigated phantoms to control both the diffusion coefficient and the T2-value by changing the concentration of gelatin or sucrose and MnCl(2), respectively. The results showed that the diffusion coefficient decreased linearly with increase...

A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the time. Here, we consider the dependence of the diffusion coefficient on the size and the position of areas of phase space linking spatial regions ('holes') in a class of simple one-dimensional, periodically lifted maps...

BACKGROUND AND PURPOSE Recent improvements in MR gradient technology allow significant increases in diffusion weighting without prohibitive signal-to-noise degradation. The purpose of our investigation was to establish normative references for the signal intensity characteristics and apparent diffusion coefficient values of the adult brain at high b values. METHODS Fifty adults underwent diff...