It is shown that phase modulations (phasons) of the order parameters of incommensurate lattices are always diffusive at sufficiently large wavelengths λ. In general there is a crossover from diffusive behavior for λΛ to propagating behavior for λΛ where Λ is a mean free path due to nonlinear interactions. The present results explain why light- and neutron-scattering experiments probe different dynamical behavior of phasons.
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Zeyher et al. (1982) studied this question.
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