Effect of Stochastic Dynamics on the Nuclear Magnetic Resonance in a Field Gradient

• Authors: J. Tóthová , V. Lisý
• Languages of publication: EN

Abstracts

EN

In the present contribution, the attenuation function S(t) for an ensemble of spins in a magnetic-field gradient is calculated through an accumulation of the phase shifts in the rotating frame resulting from the changes of the particle displacements. The found S(t) is applicable for any kind of the stochastic motion of spins, including their non-Markovian dynamics with memory. Depending on the considered system, both the classical expressions valid for normal diffusion at long times and new formulae for the short-time Brownian motion can be obtained. Our method is also applicable to the NMR pulse sequences based on the refocusing principle. This is demonstrated by describing the spin echo experiment developed by Hahn.

Keywords

EN

76.60.-k; 76.60.Lz; 05.40.-a; 05.10.Gg

Discipline

• 76.60.-k: Nuclear magnetic resonance and relaxation(see also 33.25.+k Nuclear resonance and relaxation in atomic and molecular physics and 82.56.-b Nuclear magnetic resonance in physical chemistry and chemical physics; for structure determination using magnetic resonance techniques, see 61.05.Qr; for biophysical applications, see 87.80.Lg; for NMR in superconducting materials, see 74.25.nj)
• 05.10.Gg: Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
• 76.60.Lz: Spin echoes
• 05.40.-a: Fluctuation phenomena, random processes, noise, and Brownian motion(for fluctuations in superconductivity, see 74.40.-n; for statistical theory and fluctuations in nuclear reactions, see 24.60.-k; for fluctuations in plasma, see 52.25.Gj; for nonlinear dynamics and chaos, see 05.45.-a)

• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 1111-1113

Dates

published

2017-04

Contributors

author

J. Tóthová

• Department of Physics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Park Komenského 2, 042 00 Košice, Slovakia

author

V. Lisý

• Department of Physics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Park Komenského 2, 042 00 Košice, Slovakia
• Laboratory of Radiation Biology, Joint Institute for Nuclear Research, 141980, Dubna, Russia

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Identifiers

DOI

10.12693/APhysPolA.131.1111