期刊导航

论文摘要

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(四川大学数学学院);林丽烽(福建农林大学计算机与信息学院);江治杰(四川理工学院理学院)

Author:ZHOU Xing-Wang(College of Mathematics, Sichuan University);LIN Li-Feng(College of Computer and Information, Fujian Agriculture and Forestry University);JIANG Zhi-Jie(School of Science, Sichuan University of Science and Engineering)

收稿日期:2015-03-06          年卷(期)页码:2015,52(3):477-482

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:布朗马达; 类Langevin噪声; 过阻尼分数波动势棘齿

Key words:Brownian motor; Langevin like noise; Overdamped fractional fluctuating potential ratchet

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

中文摘要

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

英文摘要

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 oscillating decay and multi inverse currents without the presence of thermal noise, therefore the ratchet is nonthermal.

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