Brizhik Larissa, Eremko Alexander, Piette Bernard, Zakrzewski Wojtek
Bogolyubov Institute for Theoretical Physics, Kyiv, Ukraine.
Electromagn Biol Med. 2009;28(1):15-27. doi: 10.1080/15368370802708223.
We study effects of periodic fields on charge transport in macromolecules and show that solitons acquire complex dynamics induced by the interplay between the periodic in time external field, energy dissipation, and depends on the molecule symmetry. Soliton dynamics is a superposition of the oscillations of the soliton c.m.c. with the frequency of the external field and directed current. Even unbiased periodic in time fields can cause drift of solitons (the ratchet effect) in the Peierls-Nabarro periodic potential. This effect has a threshold with respect to the intensity and frequency of the field. We calculate the dependence of the amplitude of soliton oscillations and the velocity of the drift on the intensity of the field, its frequency, and energy dissipation. Thus, we show that nonlinear charge transport processes in a field which is periodic in time acquire completely different dynamics than linear processes. This clearly plays a role in metabolism of biosystems.
我们研究了周期性场对大分子中电荷传输的影响，并表明孤子获得了由随时间周期性变化的外部场、能量耗散之间的相互作用所诱导的复杂动力学，且该动力学取决于分子对称性。孤子动力学是孤子质心以外部场频率振荡与直流的叠加。即使是随时间无偏的周期性场也会在皮尔斯 - 纳巴罗周期性势中导致孤子漂移（棘轮效应）。这种效应相对于场强和频率存在一个阈值。我们计算了孤子振荡幅度和漂移速度对场强、频率以及能量耗散的依赖性。因此，我们表明在随时间周期性变化的场中的非线性电荷传输过程获得了与线性过程完全不同的动力学。这在生物系统的新陈代谢中显然起着作用。
