本文研究双不动点映射生成的乘性类Langevin噪声驱动的过阻尼分数阶波动势模型的定向输运,其中的确定性类Langevin噪声是混沌噪声的自然推广,由仅具有两个不动点的逐段单调映射迭代产生.数值模拟结果显示:当模型同时空、时对称破缺时定向流出现,且噪声参数的变化可以引起定向流的振荡、衰减与逆转.值得注意的是该定向输运行并不依赖于热扩散,即棘齿是非热的.
We numerically study the directed transport of an overdamped fractional fluctuating potential model driven by multiplicative Langevin-like noise generated by a piecewise monotonic mapping having only two fixed points. Here the Langevin-like noise is a natural generalization of chaotic noise. It is shown that, in the presence of spatial asymmetry of the substrate potential, temporal asymmetry of the Langevin-like noise can induce net current, and the varieties of the parameters of noise can result in os- cillating decay and multi-inverse currents without the presence of thermal noise, therefore the ratchet is nonthermal.