Meeting Banner
Abstract #3144

The Anomalous Diffusion Parameter &[alpha] Provides the Most Relevant Information of Structural Complexity in Heterogeneous Media

Marco Palombo1, 2, Andrea Gabrielli3, Giancarlo Ruocco1, 4, Silvia Capuani1, 2

1Physics Department, Sapienza University, Rome, Italy; 2CNR IPCF UOS Roma, Sapienza University, Rome, Italy; 3ISC-CNR, Rome, Italy; 4CNR IPCF UOS Roma, Sapienza University , Rome, Italy

The anomalous diffusion parameter &[alpha], which quantifies sub-diffusion processes was investigated as a function of the sphere-density &[phi]. We demonstrated, by using numerical simulation and experimental results that, unlike conventional tortuosity investigations based on long diffusion time behavior of D(t)/D0, &[alpha] quantifies the global structural complexity (disorder) of heterogeneous systems. Moreover, we showed that &[alpha] can be measured by using &[Delta]-varying PFG experiment which is faster than the diffusion time behavior of D(t)/D0 study. As a consequence we speculate that our approach could be used as a new tool to probe changes in microstructural properties in healthy and pathological tissues.

Keywords

advanced affected allow amplitude anomalous arbitrarily asymptotic audience averaging beads behavior behaviors black blue boundary classify clearly collecting complex complexity comprised computed conditions consequence constant controlled convertible crystal curves decay degree derived described development diffusion diffusive diffusivity dimensional disorder disordered dispersed displaced duration easily employing enables ensemble environments equal evident excised experiment experimental exponent exponential expression extract faster field five fixed flight fluid fractional full function geometrical global gradient graph hand heterogeneous hold human improve indeed investigate investigated investigations involved jamming kinds known last local long measure measured media micro microscopic mimic mixed molecular mono moreover motion numerical occurring panel particle pathological periodic phys preparation probe processes propagator properties protocol pulse quantifies random regimes related relation relevant represent respectively samples sediment sedimenting sediments short simulated simulation simulations solid space spectroscopic sphere spheres stimulated strength structural suggested system systems temperature temporal theoretical toward trajectories transform tubes typically unlike varying water wave yellow