The steady current analysis in a periodic channel driven by correlated noises
The steady current analysis in a periodic channel driven by correlated noises
复制标题
相关噪声驱动的周期性通道中的稳态电流分析
DOI：
10.1016/j.chaos.2020.109766
复制
发表时间：
2020
影响因子：
7.8
通讯作者：
Kurths Juergen
中科院分区：
文献类型：
--
作者：
Mei Ruoxing;Xu Yong;Li Yongge;Kurths Juergen
分析了由相关噪声和信道组成的系统。通过推导系统电流演化的Fick-Jacobs方程，讨论了在三种相关噪声下的有效性。i）第一种情况是具有白色相关性的两个高斯白色噪声。我们发现，与单一的白色噪声相比，这两种噪声之间的白色关联破坏了系统的对称性，导致了一个定向电流，关联度越大，电流越小。然而，相关度和正弦电势之间的相互作用可以产生增加的稳定电流。ii）第二种是两个指数相关的高斯白色噪声。结果表明，它们之间的相关时间有助于降低稳态电流。iii）最后，研究了两个高斯色噪声指数相关的情形。与前两种情况不同，无论相关时间是来自噪声本身还是来自两个噪声之间的相关性，它的增加总是会导致电流增加。
A system consisting of correlated noises and a channel is analyzed. Via the Fick-Jacobs equation for the system’s current evolution, the validity are discussed under three kinds of correlated noise. i) The first case is two Gaussian white noises with a white correlation. We found that in contrast to the single white noise, the white correlation between these two noises breaks the system’s symmetry and causes a directed current and the larger the correlation degree, the smaller the current. However, the interaction between the correlation degree and a sinusoidal potential may produce an increasing steady current. ii) The second one is two Gaussian white noises with an exponential correlation. And our results perform that the correlation time between them contributes to a decrease of the steady current. iii) Finally, the case that two Gaussian colored noises with an exponential correlation is investigated. Unlike the former two cases, whether the correlation time comes from the noise itself or the correlation between the two noises, its increase here can always cause an increasing current.