非对称耦合粒子链在棘齿势中的确定性定向输运

Deterministic directional transport of asymmetrically coupled nonlinear oscillators in a ratchet potential

针对不受外力和噪声驱动的非对称耦合粒子链在棘齿势中的运动,建立了相应的数学模型,并对其确定性定向输运现象进行研究.仿真结果表明:在粒子间的非对称耦合和具有空间反演非对称的棘齿势的共同作用下,粒子链能够产生定向输运现象,并在适当参数条件下还能形成反向定向流;粒子链平均速度关于耦合系数、势垒高度、弹簧自由长度等系统参数分别都存在广义共振现象,即存在最佳参数使得定向输运速度达到最大;在其他参数固定的情况下,粒子链平均速度关于弹簧自由长度变化的曲线具有近似反对称的特点,并存在广义多峰共振现象.

In the absence of external force and noise, a deterministic transport model for asymmetrically coupled nonlinear oscillators in a ratchet potential is established. By numerical simulation, both directed current and reversely directed current can be obtained by selecting appropriate parameters. The complex dependences of current velocity on the model parameters are discussed. It is observed that the average velocity of the particle chain varies non-monotonically with coupling strength and potential height, indicating a generalized resonance phenomenon. When the other parameters are fixed, the speed curve which is dependent on spring free length has a roughly inverse symmetry, and there also exists a generalized multi-peak resonance.