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

作者：Li Yi Juan; Kang Yan Mei^*

来源：Communications in Theoretical Physics, 2010, 54(2): 292-296.

DOI：10.1088/0253-6102/54/2/17

• linear response
• subdiffusion
• stochastic resonance
• matrix continued fraction

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.

• 出版日期2010-8
• 单位西安交通大学