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磁场控制加性噪声时乘性噪声对电对流的影响。

Multiplicative noise effects on electroconvection in controlling additive noise by a magnetic field.

作者信息

Huh Jong-Hoon

机构信息

Department of Mechanical Information Science and Technology, Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Fukuoka 820-8502, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062504. doi: 10.1103/PhysRevE.92.062504. Epub 2015 Dec 1.

DOI:10.1103/PhysRevE.92.062504
PMID:26764708
Abstract

We report multiplicative noise-induced threshold shift of electroconvection (EC) in the presence of a magnetic field H. Controlling the thermal fluctuation (i.e., additive noise) of the rodlike molecules of nematic liquid crystals by H, the EC threshold is examined at various noise levels [characterized by their intensity and cutoff frequency (f(c))]. For a sufficiently strong H (i.e., ignorable additive noise), a modified noise sensitivity characterizing the shift problem is in good agreement with experimental results for colored as well as white noise (f(c)→∞); until now, there was a large deviation for (sufficiently) colored noises. The present study shows that H provides us with ideal conditions for studying the corresponding Carr-Helfrich theory considering pure multiplicative noise.

摘要

我们报告了在存在磁场H的情况下,乘性噪声引起的电对流(EC)阈值漂移。通过H控制向列型液晶棒状分子的热涨落(即加性噪声),在各种噪声水平下(以其强度和截止频率f(c)表征)研究了EC阈值。对于足够强的H(即可忽略的加性噪声),表征漂移问题的修正噪声灵敏度与有色噪声以及白噪声(f(c)→∞)的实验结果高度吻合;到目前为止,对于(足够)有色噪声存在较大偏差。本研究表明,H为研究考虑纯乘性噪声的相应卡尔 - 赫尔弗里希理论提供了理想条件。

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