Thermal enhancement and stochastic resonance of polaron ratchets

Abstract

. (2014) 'Thermal enhancement and stochastic resonance of polaron ratchet.', Physical review E., 89 (6). 062905.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevE.89.062905Publisher's copyright statement:Reprinted with permission from the American Physical Society: L. S. Brizhik, A. A. Eremko, B. M. A. G. Piette, and W. J. Zakrzewski, Physical Review E, 89, 062905, 2014. c 2014 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We study the ratchet drift of large polarons (solitons) in molecular diatomic chains induced by unbiased time periodic electric fields at nonzero temperature below its critical value. We show that, at a nonzero temperature, the critical value of the intensity of the electric field above which the ratchet phenomenon takes place is lower than at zero temperature for the same frequency of the field. We show that there is a range of temperatures for which the polaron drift is larger than that at zero temperature. We also show that temperature decreases the value of the lowest critical period of the field. And, finally, we demonstrate that there is a stochastic resonance in a polaron ratchet, namely that there is an optimal temperature at which the polaron drift is a maximum. The values of the stochastic resonance temperature, the lowest critical values of the field intensity, and its period depend on various parameters of the system and, in particular, on the anisotropy of the chain parameters. This temperature induced decrease of the critical value of the field intensity and its period, as well as the stochastic resonance itself, may be important for practical applications of the ratchet phenomenon in systems involving conducting polymers and other low-dimensional materials. They may also be important in some biological macromolecules where the ratchet phenomenon could take place in biomotors and energy and/or charge transport.

Influence of electromagnetic field on soliton-mediated charge transport in biological systems

“…Moreover, this is in the case of the symmetric Peierls-Nabarro potential (36). Indeed, the numerical simulations of the discrete set of Equations (29) has demonstrated the existence of the stochastic resonance of a soliton drift in the oscillating electrical field, subjected to thermal noise (Brizhik et al, 2014). In Figure 6, we show the amplitude of such drift (number of cites per period of the field) as a function of the temperature for two values of the period of the field, T e ¼ 120 and T e ¼ 150.…”

“…The detailed numerical study of this phenomenon is done in Brizhik et al (2014). As an example, let us consider a chain with a lattice unit cell, in which only the electron-lattice coupling constants of two types of atoms are different, and elasticity constants and electron resonant constants, are respectively, equal, so that d ¼ 0, w ¼ 0.…”

The superposed electric field effect on the charge transport and polaron formation in molecular crystals

“…Here, we consider the so-called zero temperature regime [54,55], in which thermal effects are negligible. Thus, we can better understand the true role of the carrier-lattice coupling and the superposed electric fields in polaron dynamics and stability.…”

“…Thus, we can better understand the true role of the carrier-lattice coupling and the superposed electric fields in polaron dynamics and stability. In a next study, thermal effects can be explored by using a white stochastic signal as the fluctuation term and Langevin formalism [34,55]. The above set of differential equations was solved by using a standard Runge-Kutta method with a time step that is small enough to keep the wave function norm conservation…”

Spontaneous polaron transport in biopolymers

“…Studies of polaron transport on α helical polymers have recently been reported by Henning [9][10][11][12]. However, in most of these studies the polaron is "kicked" from its rest state via a perturbation [13].…”