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NMR relaxation in disordered systems

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  • Bunde, A.
  • Maass, P.
  • Meyer, M.

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.

Suggested Citation

  • Bunde, A. & Maass, P. & Meyer, M., 1992. "NMR relaxation in disordered systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 433-437.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:433-437
    DOI: 10.1016/0378-4371(92)90562-5
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    1. N.J.G Pounds, 1948. "The Discovery of China ClayThe Discovery of China Clay," Economic History Review, Economic History Society, vol. 1(1), pages 20-33, August.
    2. Silbergeld, E.K. & Schirmer, J., 1991. "Lead exposure in sandblasting [3]," American Journal of Public Health, American Public Health Association, vol. 81(4), pages 514-515.
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