Abstract:
In the present paper, the evolution of a polaron in polyacetylene in electric field is studied in detail. It is shown that the dependence of the polaron velocity on the applied field is determined by the peculiarities of the vibrational spectrum of polyacetylene. The spectrum is calculated numerically using the Hessian, the matrix of the second derivatives of the potential energy of the system. A supersonic polaron moving in an electric field generates coherent vibrations of the optical branch of the spectrum of the polyacetylene. The phase velocity of these oscillations is equal to the polaron velocity. An additional condition for the excitation of a mode with a certain phase velocity is its correspondence to the Fourier spectrum of an impulse with polaron shape.
Received 19.03.2019, 03.04.2019, Published 25.04.2019
Document Type:
Article
UDC:
538.93
Language: Russian
Citation:
T. Yu. Astakhova, G. A. Vinogradov, “Polaron in electric field and vibrational spectrum of polyacetylene”, Mat. Biolog. Bioinform., 14:1 (2019), 150–159
\Bibitem{AstVin19}
\by T.~Yu.~Astakhova, G.~A.~Vinogradov
\paper Polaron in electric field and vibrational spectrum of polyacetylene
\jour Mat. Biolog. Bioinform.
\yr 2019
\vol 14
\issue 1
\pages 150--159
\mathnet{http://mi.mathnet.ru/mbb377}
\crossref{https://doi.org/10.17537/2019.14.150}
Linking options:
https://www.mathnet.ru/eng/mbb377
https://www.mathnet.ru/eng/mbb/v14/i1/p150
This publication is cited in the following 8 articles:
N.S. Fialko, V.D. Lakhno, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 10, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2024
A. N. Korshunova, V. D. Lakhno, “Nizkoplotnye sostavlyayuschie kholsteinovskogo polyarona pri ego ravnomernom dvizhenii v postoyannom elektricheskom pole v nachalnyi period vremeni”, Preprinty IPM im. M. V. Keldysha, 2022, 078, 19 pp.
A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Mat. Biolog. Bioinform., 17:2 (2022), 452–464
A.N. Korshunova, V.D. Lakhno, “Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain”, J. Phys.: Conf. Ser., 2155:1 (2022), 012031
A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Matem. biologiya i bioinform., 17, Suppl. (2022), 42–52
A. N. Korshunova, V. D. Lakhno, “Blokhovskie ostsillyatsii kholsteinovskogo polyarona v protsesse ego ravnomernogo dvizheniya po tsepochke v postoyannom elektricheskom pole”, Preprinty IPM im. M. V. Keldysha, 2019, 085, 30 pp.
A. N. Korshunova, V. D. Lakhno, “Dva tipa ostsillyatsii kholsteinovskogo polyarona, ravnomerno dvizhuschegosya v polinukleotidnoi tsepochke v postoyannom elektricheskom pole”, Matem. biologiya i bioinform., 14:2 (2019), 477–487
T. Yu. Astakhova, G. A. Vinogradov, “Odnoelektronnaya model polyarona na dimerizovannoi reshetke”, Matem. biologiya i bioinform., 14:2 (2019), 625–634
Citation in format AMSBIB
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