Quantum spin model fitting the Yule distribution of oligonucleotides in DNA

Physics – Quantum Physics

Scientific paper

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12 pages, 4 figures

Scientific paper

A quantum spin chain is identified by the labels of a vector state of a Kashiwara crystal basis. The intensity of the one-spin flip is assumed to depend from the variation of the labels. The rank ordered plot of the numerically computed, averaged in time, transition probabilities is nicely fitted by a Yule distribution, which is the observed distribution of the ranked short oligonucleotides frequency in DNA.

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