Goychuk Igor, Hänggi Peter
Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
Phys Rev Lett. 2003 Aug 15;91(7):070601. doi: 10.1103/PhysRevLett.91.070601. Epub 2003 Aug 14.
The phenomenological linear response theory of non-Markovian stochastic resonance (SR) is put forward for stationary two-state renewal processes. In terms of a derivation of a non-Markov regression theorem we evaluate the characteristic SR-quantifiers; i.e., the spectral power amplification (SPA) and the signal-to-noise ratio (SNR), respectively. In clear contrast to Markovian-SR, a characteristic benchmark of genuine non-Markovian SR is its distinctive dependence of the SPA and SNR on small (adiabatic) driving frequencies; particularly, the adiabatic SNR becomes strongly suppressed over its Markovian counterpart. This non-Markovian SR-theory is elucidated for a fractal gating dynamics of a potassium ion channel possessing an infinite variance of closed sojourn times.
针对平稳二态更新过程，提出了非马尔可夫随机共振（SR）的唯象线性响应理论。通过推导非马尔可夫回归定理，我们分别评估了特征SR量化指标，即频谱功率放大（SPA）和信噪比（SNR）。与马尔可夫SR形成鲜明对比的是，真正的非马尔可夫SR的一个特征基准是其SPA和SNR对小（绝热）驱动频率的独特依赖性；特别是，绝热SNR相对于其马尔可夫对应物受到强烈抑制。针对具有无限闭态停留时间方差的钾离子通道的分形门控动力学，阐述了这种非马尔可夫SR理论。
