Eur. Phys. J. B 55, 85-87 (2007)
https://doi.org/10.1140/epjb/e2007-00045-3

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 lak@impb.psn.ru

Received: 25 August 2006
Revised: 27 December 2006
Published online: 9 February 2007

Abstract

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.