Bloch-Torrey equation

The magnetization evolution due to diffusion and relaxation can be studied theoretically using the Bloch-Torrey equation [44] ... 

Here m(r, t) is the relative difference of the longitudinal magnetization M and its equilibrium value Mo m = (M — Mo)/Mo, D is the bulk diffusion coefficient and p is the bulk relaxation rate. The general solution to the Torrey-Bloch equation can be written as... 

In a one-dimensional pore, the Torrey-Bloch equation can be solved analytically and with fast diffusion and weak relaxation, it can be shown that the eigenvalues are [46]... 

Torrey, H. C. (1956). Bloch equation with diffusion terms. Phys. Rev. 104, 563-565. 

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