2003/03/31 by Igor Goychuk, Peter Hanggi
Physics and Astronomy · #cond-mat.stat-mech #physics.bio-ph
paper · pdf · doi:10.1103/physrevlett.91.070601
published as Phys. Rev. Lett. 91, 070601 (2003) · 4 pages, 1 figure
arxiv created 2003/09/24 · arxiv updated 2009/11/30
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.