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Nelin. Dinam., 2008, Volume 4, Number 2, Pages 193–214 (Mi nd232)  

This article is cited in 3 scientific papers (total in 3 papers)

The modelling of selftrapped state formation in homogeneous polynucleotide chain

V. D. Lakhno, A. N. Korshounova

Institute of Mathematical Problems of Biology, Russian Academy of Sciences

Abstract: Evolution of a quantum-mechanical particle in a uniform molecular chain is simulated by a system of coupled quantum-classical dynamical equations with dissipation. Stability of a uniform distribution of the particle over the chain is studied. An asymptotical expression is obtained for the time in which a soliton state is formed. The validity of the expression is checked by direct computational experiments. It is shown that the time of soliton formation depends strongly on the initial phase of the particle's wave function. The results obtained are used to analyze some experiments on charge transfer in DNA. The correlation between autolocalization effect and the reduction of wave function is discussed.

Keywords: DNA, nanoelectronics, quantum, dissipative, numerical, hyperbolic, relaxation.

Full text: PDF file (511 kB)
UDC: 577.3
MSC: 35Q51, 35Q40, 70K70, 37K45
Received: 08.04.2008

Citation: V. D. Lakhno, A. N. Korshounova, “The modelling of selftrapped state formation in homogeneous polynucleotide chain”, Nelin. Dinam., 4:2 (2008), 193–214

Citation in format AMSBIB
\Bibitem{LakKor08}
\by V.~D.~Lakhno, A.~N.~Korshounova
\paper The modelling of selftrapped state formation in homogeneous polynucleotide chain
\jour Nelin. Dinam.
\yr 2008
\vol 4
\issue 2
\pages 193--214
\mathnet{http://mi.mathnet.ru/nd232}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. D. Lakhno, A. N. Korshounova, “Formation of stationary electronic states in finite homogeneous molecular chains”, Matem. biologiya i bioinform., 5:1 (2010), 1–29  mathnet
    2. V. D. Lakhno, N. S. Fialko, “Usloviya suschestvovaniya polyaronnykh sostoyanii v klassicheskikh molekulyarnykh tsepochkakh pri konechnykh temperaturakh”, Matem. biologiya i bioinform., 9:1 (2014), 1–3  mathnet
    3. G. V. Kvitko, N. V. Malysheva, S. A. Ishanov, D. V. Shot, E. M. Logvin, “Chislennoe modelirovanie formirovaniya i evolyutsii solitonov v nukleotidnykh posledovatelnostyakh”, Vestnik Baltiiskogo federalnogo universiteta im. I. Kanta, 2014, no. 10, 2—30  elib
  • Нелинейная динамика
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