General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equation

DOI10.1016/J.CNSNS.2018.04.008OpenAlexW2788475655MaRDI QIDQ2207962

Guoxing Lin

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02026

zbMATH Keywords

NMRMRImodified-Bloch equationPFG anomalous diffusion

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Describing NMR chemical exchange by effective phase diffusion approach ⋮ Describe NMR relaxation by anomalous rotational or translational diffusion ⋮ Describing NMR relaxation by effective phase diffusion equation

Cites Work

• Unnamed Item
• From particles scale to anomalous or classical convection-diffusion models with path integrals
• On the solution of algebraic equations by the decomposition method
• Global Padé approximations of the generalized Mittag-Leffler function and its inverse
• V-Langevin equations, continuous time random walks and fractional diffusion
• Fully discrete random walks for space-time fractional diffusion equations
• Solving frontier problems of physics: the decomposition method
• General PFG signal attenuation expressions for anisotropic anomalous diffusion by modified-Bloch equations
• Predictions for pulsed-field–gradient NMR experiments of diffusion in fractal spaces
• FEYNMAN-KAC EQUATION FOR CONVECTION-DISPERSION WITH MOBILE AND IMMOBILE WALKERS
• The fractional diffusion equation
• The fundamental solution of the space-time fractional diffusion equation
• Spin Echoes
• First Steps in Random Walks
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equation