The localization regime in a nutshell
- 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.
Author details: | Nicolas MoutalORCiD, Denis S. GrebenkovORCiD |
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DOI: | https://doi.org/10.1016/j.jmr.2020.106836 |
ISSN: | 1090-7807 |
ISSN: | 1096-0856 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/33039913 |
Title of parent work (English): | Journal of magnetic resonance : JMR |
Publisher: | Elsevier |
Place of publishing: | San Diego, Calif. [u.a.] |
Publication type: | Article |
Language: | English |
Date of first publication: | 2020/09/26 |
Publication year: | 2020 |
Release date: | 2023/05/23 |
Tag: | Bloch-Torrey equation; Diffusion NMR; Localization regime; Non-perturbative analysis; Spin-echo |
Volume: | 320 |
Article number: | 106836 |
Number of pages: | 11 |
Funding institution: | Alexander von Humboldt Foundation through a Bessel Research; AwardAlexander von Humboldt Foundation |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer review: | Referiert |