Document Detail


Mobility of discrete multibreathers in the exciton dynamics of the Davydov model with saturable nonlinearities.
MedLine Citation:
PMID:  25375614     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We show that the state of amide-I excitations in proteins is modeled by the discrete nonlinear Schrödinger equation with saturable nonlinearities. This is done by extending the Davydov model to take into account the competition between local compression and local dilatation of the lattice, thus leading to the interplay between self-focusing and defocusing saturable nonlinearities. Site-centered (sc) mode and/or bond-centered mode like discrete multihump soliton (DMHS) solutions are found numerically and their stability is analyzed. As a result, we obtained the existence and stability diagrams for all observed types of sc DMHS solutions. We also note that the stability of sc DMHS solutions depends not only on the value of the interpeak separation but also on the number of peaks, while their counterpart having at least one intersite soliton is instable. A study of mobility is achieved and it appears that, depending on the higher-order saturable nonlinearity, DMHS-like mechanism for vibrational energy transport along the protein chain is possible.
Authors:
J D Tchinang Tchameu; A B Togueu Motcheyo; C Tchawoua
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2014-10-21
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  90     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2014 Oct 
Date Detail:
Created Date:  2014-11-6     Completed Date:  -     Revised Date:  2014-11-7    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  043203     Citation Subset:  -    
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