Low Dimensional Lattice Diffusion in Solids Investigated by Nuclear Spin Echo Measurements
Naoki Asakawa, Kiyohiko Matsubara, Yoshio Inoue

TL;DR
This paper uses numerical simulations of NMR spin echo experiments to study lattice diffusion and magnetic field gradients in solids, employing Fourier-spectrum methods to solve the Bloch-Torrey equation in various lattice dimensions.
Contribution
It introduces a Fourier-spectrum numerical approach to analyze lattice diffusion and magnetic field effects in solids via NMR simulations.
Findings
Demonstrates the effectiveness of Fourier-spectrum method in solving the Bloch-Torrey equation.
Provides insights into lattice diffusion behavior in one- and two-dimensional solids.
Shows how internal magnetic field gradients influence NMR spin echo signals.
Abstract
Lattice diffusion and internal local magnetic field gradients in solids are investigated by numerical simulation of nuclear mangetic resonance(NMR) spin echo experiments. The Fourier-spectrum method is employed in order to solve the Bloch-Torrey equation with arbitrary magnetic field gradients in one- and two-dimensional lattice restrictions.
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