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Spatio-temporal anomalous diffusion in heterogeneous media by nuclear magnetic resonance
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10.1063/1.3610367
/content/aip/journal/jcp/135/3/10.1063/1.3610367
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/3/10.1063/1.3610367
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Plot of MSD as a function of the diffusion time t = Δ for three different samples: water and surfactant solution, mono-d sample (comprising beads size) and a poly-d sample (comprising 140, 40, and beads size). Solid lines represent the curves fit: MSD(t) = K α t α. Outcomes of the fit procedure are also displayed for each sample. Star symbol represents proper ordinary diffusion regime.

Image of FIG. 2.
FIG. 2.

Mα eff vs Mμ eff diagram for ordered samples (black filled symbols), disordered samples (empty symbols) and water and surfactant solution (star symbol). Dashed line 2Mα eff = Mμ eff represents the effective ordinary diffusion region in which 〈x(t)2〉∝t 2α/μ = t. The two dashed lines Mα eff = 1 and Mμ eff = 2 delimit the regions of superdiffusion (2Mα eff /Mμ eff > 1) and subdiffusion (0 < 2Mα/Mμ < 1) regimes. Star symbol location (α = 1 and μ = 2) indicates proper ordinary diffusion.

Image of FIG. 3.
FIG. 3.

Characteristic lengths ℓ D , ℓ s , and ℓ* as a function of micro-beads size in mono-d samples. This graph shows the dynamic feature of water in the presence of background gradients.

Image of FIG. 4.
FIG. 4.

Mμ eff as a function of MG int , measured by PGSTE (black data points) and BPP-LED PGSTE (gray data points) NMR sequences. Black solid line is the regression line Mμ eff = ( − 0.1331 ± 0.0061) ln(MG int ) + (1.613 ± 0.016), R = 0.996, while gray solid line is the regression line Mμ eff = ( − 0.0148 ± 0.0031) ln(MG int ) + (1.9351 ± 0.0067), R = 0.918.

Image of FIG. 5.
FIG. 5.

Mα eff as a function of MG int , measured by PGSTE NMR sequence. Solid line is the regression line Mα eff = (0.000 ± 0.010) MG int + (0.967 ± 0.022), R = 0.051.

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/content/aip/journal/jcp/135/3/10.1063/1.3610367
2011-07-20
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spatio-temporal anomalous diffusion in heterogeneous media by nuclear magnetic resonance
http://aip.metastore.ingenta.com/content/aip/journal/jcp/135/3/10.1063/1.3610367
10.1063/1.3610367
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