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Fractional power time dependence of the nuclear magnetization in the presence of paramagnetic impurities
G B Furman1, E M Kunoff, S D Goren
1Department of Physics, Ben-Gurion University, Be'er Sheva, Israel.
Abstract:
We extend the theory of growth of the nuclear magnetization in the presence of paramagnetic impurities and the absence of spin diffusion to the case of multi-paramagnetic centers. We show that for short times after saturation pulses, the rate of growth of the magnetization is proportional to t alpha where t is the time and alpha = 1/3, 1/2 and 2/3 for one-, two- and three-dimensional systems, respectively. We also present experimental data for which the total time-dependent magnetization is proportional to exp[-(t/T1) alpha], which reduces to the above time dependence for short times.
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