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Abstract
A previous paper [A. A. Maradudin, G. H. Weiss, and D. H. Jepsen, J. Math. Phys. 2, 349 (1961)] has shown that approximate normal modes of isotopically disordered crystals decay irreversibly when the arrangement of isotopes is completely random. These results are generalized to crystals with an arbitrary degree of order. In particular, it is shown irreversible behavior occurs whenever the spatial correlation between isotopic species extends over a fixed finite range, as the size of the crystal tends to infinity.
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