参数空间中的棘轮输运和周期结构
Ratchet transport and periodic structures in parameter space
摘要：
棘轮模型是描述在没有外部偏差的情况下自然界中传输现象的主要候选模型。本文分析了离散棘轮模型的参数空间，给出了混沌域与一类具有棘轮电流的等周期稳定结构之间的直接联系。等周期结构沿参数空间中的优先方向出现，给出了跟随电流的指南，电流通常在结构内部增加，但与相应的周期无关。其中一种结构具有虾形形式，这是耗散系统参数空间中的普遍结构。参数空间中的电流提供了多稳态和混沌吸引子的动量不对称性乘以相应吸引域的大小的直接度量。输运结构中存在的参数空间的朗之万方程与外部振荡力。
英文摘要：
Ratchet models are prominent candidates to describe the transport phenomenum in nature in the absence of external bias. This work analyzes the parameter space of a discrete ratchet model and gives direct connections between chaotic domains and a family of isoperiodic stable structures with the ratchet current. The isoperiodic structures appear along preferred direction in the parameter space giving a guide to follow the current, which usually increases inside the structures but is independent of the corresponding period. One of such structures has the shrimp-shaped form which is known to be an universal structure in the parameter space of dissipative systems. Currents in parameter space provide a direct measure of the momentum asymmetry of the multistable and chaotic attractors times the size of the corresponding basin of attraction. Transport structures are shown to exist in the parameter space of the Langevin equation with an external oscillating force.
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