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NMR diffusion in restricted environment approached by a fractional Langevin model

Author

Listed:
  • Pereira-Alves, Felipe
  • Soares-Pinto, Diogo O.
  • Paiva, Fernando F.

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.

Suggested Citation

  • Pereira-Alves, Felipe & Soares-Pinto, Diogo O. & Paiva, Fernando F., 2024. "NMR diffusion in restricted environment approached by a fractional Langevin model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    • Handle: RePEc:eee:phsmap:v:641:y:2024:i:c:s0378437124002279
    DOI: 10.1016/j.physa.2024.129718
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    References listed on IDEAS

    as
    1. Lisý, Vladimír & Tóthová, Jana, 2018. "NMR signals within the generalized Langevin model for fractional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 200-208.
    2. Richard L. Magin & Hamid Karani & Shuhong Wang & Yingjie Liang, 2019. "Fractional Order Complexity Model of the Diffusion Signal Decay in MRI," Mathematics, MDPI, vol. 7(4), pages 1-16, April.
    3. Lin, Guoxing, 2017. "Analyzing signal attenuation in PFG anomalous diffusion via a modified Gaussian phase distribution approximation based on fractal derivative model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 277-288.
    Full references (including those not matched with items on IDEAS)

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