NMR relaxation in disordered systems

A. Bunde, P. Maass and M. Meyer

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 433-437

Abstract: We investigate for the first time spin-lattice relaxation caused by particles diffusing in disordered environments. For noninteracting particles on a fractal substrate with fractal dimension df and diffusion exponent dw, we find that the NMR correlation functions G(q)(t) are asymptotically described by G(q)(t)∼t−y, with γ=2dw in d=2 and γ=(6−df)dw in d = 3. This behavior leads to an anomalous frequency dependence of 1/T1 at high temperatures, 1T1∼ω−(1−Gg). For charged particles, we have investigated G(q)(t) by Monte Carlo simulations. We find that due to the interplay between structural disorder and Coulomb interaction the decay of G(q)(t) is dramatically slowed down when pc is approached.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:433-437

DOI: 10.1016/0378-4371(92)90562-5

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