2013/08/27 by Matias Nordin, Nordin, Matias
Chemistry · Medicine · Physics and Astronomy · #Advanced NMR Techniques and Applications #Advanced Neuroimaging Techniques and Applications #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #NMR spectroscopy and applications #Soft Condensed Matter (cond-mat.soft) #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1308.5987
arxiv created 2013/08/27 · openalex publication_date 2013/08/27 · arxiv updated 2013/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An approximative method for solving the Bloch-Torrey equation in general porous media is presented. The method expand the boundaries defining the porous media using electrostatic charges. As a result the eigenvalue problem of the Laplace operator in a confined geometry can approximately solved. Importantly the approximative solution is orthogonal in the low-frequent region of Fourier space. This gives a natural approach for studying spin magnetization in presence of magnetic fields. The error in the approximation scales with N-2 times the magnitude of each eigenvalue, where N is the size of the expansion matrix. From a computational point of view, the calculations scale quadratically with the number of basis functions using fast multipole methods.