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Abstract: Recently, there has been an examination of the nonexponential relaxationprofiles of the NMR signal. The exponential relaxation from Bloch-Torreyequations with constant diffusion coefficients are known to be anapproximation, and research has been in areas that would reproducenon-exponential relaxation. These would be from statistical models,phenomenological models, and microscopic models including a recent fractionalderivative approach. In this letter we derive a nonlinear Bloch-Torrey partialdifferential equation that has equivalently a non-constant diffusioncoefficient and a linear probability and for which the solution is of aq-parametrized power-law distribution of the nonextensive Tsallis statistics.

Autor: Fredrick Michael


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