Abstract
Dynamical properties due to hopping of an excited kink on the ground state kink-lattice are studied in the Frenkel-Kontorova model in one-dimensional ionic conductors, by an evaluation of the correlation function of kink field density which directly concerns the NMR- T 1 for the quadrupole coupling. The hopping is treated by the relaxation mode theory. The resultant relaxation time T 1 approaches to the ω 1.5 -dependence when the diffusion length becomes less than the correlation length. The slope energy of ln T 1 , in this case, is determined by the sum of the renormalized kink energy and half of the kink-activation energy, which is quite consistent with the observed value from the NMR- T 1 experiment in the K-Al-priderite.
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