Abstract
Vibration of a two-component disordered chain of 500 atoms is investigated. The mass ratio is 28:16. Squared frequency-spectra are obtained for several cases with different degrees of disorder. For a simple case eigenvectors are also calculated to show that there exists a local vibration mode at disorder. If there is an additional impurity atom in the chain, there appear localized vibration modes at the impurity atom above the optical branch and between the optical and the acoustical branches. Vibration of the chain with variable force constants, which are governed by a probability distribution, is studied as a model for a glassy substance.
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