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The localization regime in a nutshell

Abstract : High diffusion-sensitizing magnetic field gradients have been more and more often applied nowadays to achieve a better characterization of the microstructure. As the resulting spin-echo signal significantly deviates from the conventional Gaussian form, various models have been employed to interpret these deviations and to relate them with the microstructural properties of a sample. In this paper, we argue that the non-Gaussian behavior of the signal is a generic universal feature of the Bloch-Torrey equation. We provide a simple yet rigorous description of the localization regime emerging at high extended gradients and identify its origin as a symmetry breaking at the reflecting boundary. We compare the consequent non-Gaussian signal decay to other diffusion NMR regimes such as slow-diffusion, motional-narrowing and diffusion-diffraction regimes. We emphasize limitations of conventional perturbative techniques and advocate for non-perturbative approaches which may pave a way to new imaging modalities in this field.
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https://hal.archives-ouvertes.fr/hal-03375468
Contributor : Denis Grebenkov Connect in order to contact the contributor
Submitted on : Tuesday, October 12, 2021 - 5:51:13 PM
Last modification on : Wednesday, November 3, 2021 - 6:37:52 AM

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Nicolas Moutal, Denis Grebenkov. The localization regime in a nutshell. Journal of Magnetic Resonance, Elsevier, 2020, 320, pp.106836. ⟨10.1016/j.jmr.2020.106836⟩. ⟨hal-03375468⟩

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