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The energy and entropy contribution to the quasicrystal stability is an on-going matter of debate. In this respect, phason modes play a particular role since these excitations are characteristic of the quasicrystalline long-range order. We present some of the results and list open questions in the field.
I thank R. Currat and S. Francoual, for the many enlightening discussions we have had on phason modes.
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