Abstract
We study, by Monte Carlo simulation, the spin lattice relaxation rate 1/${\mathit{T}}_{1}$(\ensuremath{\omega},T) caused by diffusing ions in disordered structures. We show that both disorder and Coulomb interactions are essential to obtain the typical non-Bloembergen-Purcell-Pound behavior of 1/${\mathit{T}}_{1}$. The dependence of 1/${\mathit{T}}_{1}$ upon frequency \ensuremath{\omega} and temperature T can be described by the simple scaling form 1/${\mathit{T}}_{1}$=${\mathrm{\ensuremath{\omega}}}^{\mathrm{\ensuremath{-}}1}$f(\ensuremath{\omega}\ensuremath{\tau}). We find that the NMR correlation time \ensuremath{\tau} is more highly activated than the conductivity relaxation time ${\mathrm{\ensuremath{\tau}}}_{\mathrm{\ensuremath{\sigma}}}$, which is in agreement with very recent experimental results.
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