On the use of NMR pulsed field-gradient spectroscopy for the study of anomalous diffusion in fractal networks |
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| Institution: | 1. Department of pharmaceutics, Faculty of Pharmacy and Drug Manufacturing, Pharos University at Alexandria (PUA), Alexandria, Egypt;2. Endocrine Unit, Faculty of Medicine, Alexandria University, Alexandria, Egypt;3. Department of pharmaceutical Sciences, School of Pharmacy, University of Saint Joseph (USJ), Hartford, CT 06103, USA;4. Department of pharmaceutics, Faculty of Pharmacy, Alexandria University, Alexandria, Egypt;1. Department of Mathematics, University of Utah, Salt Lake City, Utah |
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| Abstract: | Theoretical questions of NMR spin echo attenuation due to diffusion in fractal systems are examined. The mean-square displacement of anomalous diffusion depends sublinearly on time. Therefore, this stochastic process is not invariant against time translation. The correct adjustment of the time scale is a crucial prerequisite for the proper reflection of molecular migration by means of spin-echo experiments. |
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