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Figure 4
The influence of phonons on the distribution P(u,v) for (a) a commensurately modulated crystal, k0/q0 = 5, and (b) the Fibonacci chain, [{k_0}/{q_0} = \tau]. The characteristic TAU2 scaling relation is smeared along the [1, 1] direction in the (u,v) framework. The broadening is caused by Gaussian smearing of each atomic position due to thermal vibrations of atoms. In each case the amplitude of the phonons is 2% of the average distance between atoms in the structure.

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