由双不动点映射生成的乘性类Langevin噪声驱动的过阻尼分数阶棘齿  

Overdamped fractional ratchets driven by multiplicative Langevin-like noises generated by mappings with two fixed points

作　　者：周兴旺[1] 林丽烽[2] 江治杰[3] 

机构地区：[1]四川大学数学学院,成都610064 [2]福建农林大学计算机与信息学院,福州350002 [3]四川理工学院理学院,自贡643000

出　　处：《四川大学学报（自然科学版）》2015年第3期477-482,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11171238);福建农林大学青年教师基金(2011XJJ23)

摘　　要：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.

关 键 词：布朗马达 类Langevin噪声 过阻尼分数波动势棘齿 

分 类 号：O29[理学—应用数学]