Bloch oscillations of a soliton in a molecular chain
Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moscow Region, Russian Federation
Corresponding author: a email@example.com
Revised: 27 December 2006
Published online: 9 February 2007
This paper presents the results of numerical experiments simulating Bloch oscillations of solitons in a deformable molecular chain subject to a constant electric field. By using as an example a homogeneous polynucleotide chain, it is shown that the system under consideration can exhibit complicated dynamical behaviour: when subject to field intensities less than a certain critical value, a soliton exhibits oscillations as a whole, while at field intensities exceeding this threshold, the soliton becomes a breather that oscillates. It is shown that the motion of a charge in a deformable chain is infinite, which in contrast to that in a rigid chain.
PACS: 71.20.Rv – Polymers and organic compounds / 72.80.Le – Polymers; organic compounds (including organic semiconductors)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007