Soliton Dynamics in the Eilbeck-Lomdahl-Scott Model for Hydrogen-Bonded Polypeptides
The transfer of vibrational energy along quasi-one-dimensional molecular systems such as chains of hydrogen-bonded peptide groups (PG’s) by means of self-trapped states (solitary waves or solitons) was first suggested by Davydov and Kislukha1 in order to explain how the energy released by hydrolysis of adenosine triphosphate can be localized and moved along proteins providing important biological processes2, 3. The soliton formation in this model1,3 is due to the coupling of the high-frequency intramolecular C = 0 stretch mode (the amide-I excitation, with frequency about 1665 cm−1) in PG’s and the acoustic mode (the intermolecular relative displacement field) of PG’s with associated side groups through the dependence of the amide-I energy on the distances to neighbouring left and right molecules (PG’s). After the numerous theoretical studies3 on this acoustic-mode-coupled soliton theory, the experimental results performed by Careri and cowor-kers4 for crystalline acetanilide (ACN) became very important for the question of the existence of self-trapped localized states in quasi-one-dimensional molecular systems since the material ACN contains chains of hydrogen-bonded PG’s similar to protein molecules.
KeywordsSolitary Wave Soliton Solution Bose Statistic Soliton Dynamic Numerous Theoretical Studies3
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