Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model
D. A. Tikhonov, E. V. Sobolev, V. D. Lakhno, N. S. Fialko
Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moscow Region, 142290, Russia
In Holstein’ model the charge transfer along a site chain is described using self- consistent ODE system (polaron model). To estimate the charge mobility at temperature prescribed, linear adiabatic approximation is suggested wherein the charge moving does not act on the site displacements. In this approximation computations are fast. Comparison of calculating results for the polaron model and the adiabatic model shows agreement of diffusion coefficients with accuracy up to one standard deviation.
Holstein model, Langevin equation, mobility, DNA, adiabatic approximation, Magnus method, matrix exponential factorisable.
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Received 24.11.2011, Published 28.11.2011
D. A. Tikhonov, E. V. Sobolev, V. D. Lakhno, N. S. Fialko, “Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model”, Mat. Biolog. Bioinform., 6:2 (2011), 264–272
Citation in format AMSBIB
\by D.~A.~Tikhonov, E.~V.~Sobolev, V.~D.~Lakhno, N.~S.~Fialko
\paper Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model
\jour Mat. Biolog. Bioinform.
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