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Department of Mathematical Sciences

Staff

Publication details for Wojtek Zakrzewski

Brizhik, L., Eremko, A. Piette, B. & Zakrzewski, W.J. (2010), Ratchet effect of Davydov's solitons in nonlinear low-dimensional nanosystems, International Journal of Quantum Chemistry 110: Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”. Kiev, Wiley, Kiev, 25-37.

Author(s) from Durham

Abstract

We study the ratchet behavior of polarons in diatomic molecular chains
under the influence of an external electromagnetic field which is periodic in time. We
show that in asymmetric chains a harmonic unbiased field causes a drift of polarons.
This phenomenon has a threshold with respect to the intensity and the frequency of the
field. In spatially symmetric chains, a harmonic periodic electric field generates
oscillations of polarons but does not result in their movement. Such a drift current can
be induced in symmetric chains by a time periodic asymmetric external field. This
complex dynamics of polarons is generated by the interplay between the
Peierls–Nabarro barrier and dissipative effects in the system. The dependence of the
amplitude of soliton oscillations and the velocity of the drift are calculated depending
on the intensity of the field, its frequency, and the coefficient of the energy dissipation.

Notes

Special Issue: Proceedings of the NATO ARW “Molecular Self-Organization in Micro-, Nano-, and Macro-Dimensions: From Molecules to Water, to Nanoparticles, DNA and Proteins”, Dedicated to Alexander S. Davydov's 95th Birthday.