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Self-Diffusion in Random-Tiling Quasicrystals

M V Jaric·E S Sorensen
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Abstract

The first explicit realization of the conjecture that phason dynamics leads to self-diffusion in quasicrystals is presented for the icosahedral Ammann tilings. On short time scales, the transport is found to be subdiffusive with the exponent $β\approx0.57(1)$, while on long time scales it is consistent with normal diffusion that is up to an order of magnitude larger than in the typical room temperature vacancy-assisted self-diffusion. No simple finite-size scaling is found, suggesting anomalous corrections to normal diffusion, or existence of at least two independent length scales.

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M V Jaric, E S Sorensen. 1994-08-18. Self-Diffusion in Random-Tiling Quasicrystals. https://doi.org/10.1103/physrevlett.73.2464

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