Abstract
AbstractA closed form is obtained of the length distribution of open and closed clusters in binary randomly disordered finite chains and its first three moments are calculated. It allows to express configurational averages of interest in chains with randomly distributed broken bonds, with randomly distributed infinite masses and related finite disordered systems and to calculate them exactly. A particular case of random walks on a chain with chaotically distributed pure absorbers is considered without any restrictions on the chain length and the number of absorbers. The exact expressions of the averaged survival probability and averaged lifetime of a particle in the chain are obtained and discussed.
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