A Study on Stochastic Resonance in Biased Subdiffusive Smoluchowski Systems within Linear Response Range

被引:7
作者
Li Yi-Juan [1 ]
Kang Yan-Mei [1 ]
机构
[1] Xi An Jiao Tong Univ, Dept Appl Math, Sch Sci, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
linear response; subdiffusion; stochastic resonance; matrix continued fraction; ANOMALOUS DIFFUSION; NOISE;
D O I
10.1088/0253-6102/54/2/17
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The method of matrix continued fraction is used to investigate stochastic resonance (SR) in the biased subdiffusive Smoluchowski system within linear response range. Numerical results of linear dynamic susceptibility and spectral amplification factor are presented and discussed in two-well potential and mono-well potential with different subdiffusion exponents. Following our observation, the introduction of a bias in the potential weakens the SR effect in the subdiffusive system just as in the normal diffusive case. Our observation also discloses that the subdiffusion inhibits the low-frequency SR, but it enhances the high-frequency SR in the biased Smoluchowski system, which should reflect a "flattening" influence of the subdiffusion on the linear susceptibility.
引用
收藏
页码:292 / 296
页数:5
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