NMR diffusion in restricted environment approached by a fractional Langevin model

Felipe Pereira-Alves, Diogo O. Soares-Pinto and Fernando F. Paiva

Physica A: Statistical Mechanics and its Applications, 2024, vol. 641, issue C

Abstract: The diffusion motion of spin-bearing molecules is considerably affected in confined environments. In Nuclear Magnetic Resonance (NMR) experiments, under the presence of magnetic field gradients, this movement can be encoded in spin phase and the NMR signal attenuation due to diffusion can be evaluated. This paper considered this effect in both normal and anomalous diffusion by means of the Langevin stochastic model within the Gaussian phase approximation (GPA) for a constant gradient temporal profile. The phenomenological approach illustrates the emergence of fractional order exponential decay in the NMR signal and retrieves the classical result from Hanh echo.

Keywords: Anomalous diffusion; Fractional Brownian motion; Fractional NMR signal (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:641:y:2024:i:c:s0378437124002279

DOI: 10.1016/j.physa.2024.129718

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